From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 13:33:07 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h82IX6w00743 for reliable_computing-outgoing; Tue, 2 Sep 2003 13:33:06 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h82IX1Y00739 for ; Tue, 2 Sep 2003 13:33:02 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h82IWuK02600 for ; Tue, 2 Sep 2003 12:32:56 -0600 (MDT) Message-Id: <200309021832.h82IWuK02600 [at] cs [dot] utep.edu> Date: Tue, 2 Sep 2003 12:32:56 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: may be of interest in view of Moore and Berz and Hoefkens' work To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: TouRw6TxmPVL6R7h2zptBQ== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk >From cnn.com, it may be of interest to interval community because of the Moore-Berz-Hoefkens et al. paper and algorithm Giant asteroid could hit Earth in 2014 Tuesday, September 2, 2003 Posted: 11:38 AM EDT (1538 GMT) LONDON, England (Reuters) -- A giant asteroid is heading for Earth and could hit in 2014, U.S. astronomers have warned British space monitors. But for those fearing Armageddon, don't be alarmed -- the chances of a catastrophic collision are just one in 909,000. Asteroid "2003 QQ47" will be closely monitored over the next two months. Its potential strike date is March 21, 2014, but astronomers say that any risk of impact is likely to decrease as further data is gathered. On impact, it could have the effect of 20 million Hiroshima atomic bombs, a spokesman for the British government's Near Earth Object Information Centre told BBC radio. The Centre issued the warning about the asteroid after the giant rock was first observed in New Mexico by the Lincoln Near Earth Asteroid Research Program. "The Near Earth Object will be observable from Earth for the next two months and astronomers will continue to track it over this period," said Dr Alan Fitzsimmons, one of the expert team advising the Centre. Asteroids such as 2003 QQ47 are chunks of rock left over from the formation of the solar system 4.5 billion years ago. Most are kept at a safe distance from the Earth in the asteroid belt between Mars and Jupiter. But the gravitational influence of giant planets such as Jupiter can nudge asteroids out of these safe orbits and send them plunging towards Earth. From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 13:51:00 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h82Iox700860 for reliable_computing-outgoing; Tue, 2 Sep 2003 13:50:59 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h82IotY00856 for ; Tue, 2 Sep 2003 13:50:55 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h82IonI02765 for ; Tue, 2 Sep 2003 12:50:49 -0600 (MDT) Message-Id: <200309021850.h82IonI02765 [at] cs [dot] utep.edu> Date: Tue, 2 Sep 2003 12:50:50 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: of possible interest to interval community To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: Wb5DpSLlBJGnoP97V8J7dA== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, My message bounced back so I am resending it. Apologies if you got two copies. ------------- Begin Forwarded Message ------------- In view of Moore-Berz-Hoefkens et al. paper and algorithm, this may be of interest to interval community. Vladik Giant asteroid could hit Earth in 2014 Tuesday, September 2, 2003 Posted: 11:38 AM EDT (1538 GMT) LONDON, England (Reuters) -- A giant asteroid is heading for Earth and could hit in 2014, U.S. astronomers have warned British space monitors. But for those fearing Armageddon, don't be alarmed -- the chances of a catastrophic collision are just one in 909,000. Asteroid "2003 QQ47" will be closely monitored over the next two months. Its potential strike date is March 21, 2014, but astronomers say that any risk of impact is likely to decrease as further data is gathered. On impact, it could have the effect of 20 million Hiroshima atomic bombs, a spokesman for the British government's Near Earth Object Information Centre told BBC radio. The Centre issued the warning about the asteroid after the giant rock was first observed in New Mexico by the Lincoln Near Earth Asteroid Research Program. "The Near Earth Object will be observable from Earth for the next two months and astronomers will continue to track it over this period," said Dr Alan Fitzsimmons, one of the expert team advising the Centre. Asteroids such as 2003 QQ47 are chunks of rock left over from the formation of the solar system 4.5 billion years ago. Most are kept at a safe distance from the Earth in the asteroid belt between Mars and Jupiter. But the gravitational influence of giant planets such as Jupiter can nudge asteroids out of these safe orbits and send them plunging towards Earth. ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 14:13:07 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h82JD6B00993 for reliable_computing-outgoing; Tue, 2 Sep 2003 14:13:06 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h82JD1Y00989 for ; Tue, 2 Sep 2003 14:13:01 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h82JCsrr021191; Tue, 2 Sep 2003 15:12:55 -0400 (EDT) Message-ID: <000d01c37186$42548ea0$f6ac1841@REM> From: "Ray Moore" To: "Vladik Kreinovich" , References: <200309021832.h82IWuK02600 [at] cs [dot] utep.edu> Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work Date: Tue, 2 Sep 2003 15:13:14 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Yes, Vladik, I have seen it and it is certainly of interest. Ray Moore ----- Original Message ----- From: "Vladik Kreinovich" To: Sent: Tuesday, September 02, 2003 2:32 PM Subject: may be of interest in view of Moore and Berz and Hoefkens' work > From cnn.com, it may be of interest to interval community because of the > Moore-Berz-Hoefkens et al. paper and algorithm > > Giant asteroid could hit Earth in 2014 > > Tuesday, September 2, 2003 Posted: 11:38 AM EDT (1538 GMT) > > LONDON, England (Reuters) -- A giant asteroid is heading for Earth > and could hit in 2014, U.S. astronomers have warned British space monitors. > > But for those fearing Armageddon, don't be alarmed -- the chances > of a catastrophic collision are just one in 909,000. > > Asteroid "2003 QQ47" will be closely monitored over > the next two months. Its potential strike date is March > 21, 2014, but astronomers say that any risk of impact > is likely to decrease as further data is gathered. > > On impact, it could have the effect of 20 million > Hiroshima atomic bombs, a spokesman for the British > government's Near Earth Object Information Centre > told BBC radio. > > The Centre issued the warning about the asteroid > after the giant rock was first observed in New Mexico > by the Lincoln Near Earth Asteroid Research Program. > > "The Near Earth Object will be observable from Earth > for the next two months and astronomers will continue > to track it over this period," said Dr Alan Fitzsimmons, > one of the expert team advising the Centre. > > Asteroids such as 2003 QQ47 are chunks of rock left > over from the formation of the solar system 4.5 billion > years ago. Most are kept at a safe distance from the > Earth in the asteroid belt between Mars and Jupiter. > > But the gravitational influence of giant planets such > as Jupiter can nudge asteroids out of these safe > orbits and send them plunging towards Earth. > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 14:16:10 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h82JGAK01079 for reliable_computing-outgoing; Tue, 2 Sep 2003 14:16:10 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h82JG3Y01075 for ; Tue, 2 Sep 2003 14:16:03 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h82JFnrr023568; Tue, 2 Sep 2003 15:15:50 -0400 (EDT) Message-ID: <001201c37186$aaf22c60$f6ac1841@REM> From: "Ray Moore" To: "Vladik Kreinovich" , Cc: "Vladik Kreinovich" , References: <200309021832.h82IWuK02600 [at] cs [dot] utep.edu> Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work Date: Tue, 2 Sep 2003 15:16:10 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk To those interested in this subject, please also see an update: http://www.hohmanntransfer.com/news.htm Ray Moore ----- Original Message ----- From: "Vladik Kreinovich" To: Sent: Tuesday, September 02, 2003 2:32 PM Subject: may be of interest in view of Moore and Berz and Hoefkens' work > From cnn.com, it may be of interest to interval community because of the > Moore-Berz-Hoefkens et al. paper and algorithm > > Giant asteroid could hit Earth in 2014 > > Tuesday, September 2, 2003 Posted: 11:38 AM EDT (1538 GMT) > > LONDON, England (Reuters) -- A giant asteroid is heading for Earth > and could hit in 2014, U.S. astronomers have warned British space monitors. > > But for those fearing Armageddon, don't be alarmed -- the chances > of a catastrophic collision are just one in 909,000. > > Asteroid "2003 QQ47" will be closely monitored over > the next two months. Its potential strike date is March > 21, 2014, but astronomers say that any risk of impact > is likely to decrease as further data is gathered. > > On impact, it could have the effect of 20 million > Hiroshima atomic bombs, a spokesman for the British > government's Near Earth Object Information Centre > told BBC radio. > > The Centre issued the warning about the asteroid > after the giant rock was first observed in New Mexico > by the Lincoln Near Earth Asteroid Research Program. > > "The Near Earth Object will be observable from Earth > for the next two months and astronomers will continue > to track it over this period," said Dr Alan Fitzsimmons, > one of the expert team advising the Centre. > > Asteroids such as 2003 QQ47 are chunks of rock left > over from the formation of the solar system 4.5 billion > years ago. Most are kept at a safe distance from the > Earth in the asteroid belt between Mars and Jupiter. > > But the gravitational influence of giant planets such > as Jupiter can nudge asteroids out of these safe > orbits and send them plunging towards Earth. > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 14:24:40 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h82JOeC01201 for reliable_computing-outgoing; Tue, 2 Sep 2003 14:24:40 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h82JOXY01197 for ; Tue, 2 Sep 2003 14:24:33 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h82JOPrr001957; Tue, 2 Sep 2003 15:24:31 -0400 (EDT) Message-ID: <001901c37187$e15fc720$f6ac1841@REM> From: "Ray Moore" To: "Ray Moore" , "Vladik Kreinovich" , Cc: "Vladik Kreinovich" , Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work Date: Tue, 2 Sep 2003 15:24:45 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk An interesting philosophical question related to all this is the following. Suppose some day we find out that a large asteroid or comet is headed for a direct collision with earth at a certain year in the future, say ten years. By large, I mean large enough that it cannot be deflected or destroyed, and large enough to pretty much devastate "civilization" as we have known it. About a kilometer in diameter should be large enough for all that. The question is: how would we behave, as a society and personally? Does it matter? Maybe. Ray Moore ----- Original Message ----- From: "Ray Moore" To: "Vladik Kreinovich" ; Cc: "Vladik Kreinovich" ; Sent: Tuesday, September 02, 2003 3:16 PM Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work > To those interested in this subject, please also see an update: > > http://www.hohmanntransfer.com/news.htm > > Ray Moore > > ----- Original Message ----- > From: "Vladik Kreinovich" > To: > Sent: Tuesday, September 02, 2003 2:32 PM > Subject: may be of interest in view of Moore and Berz and Hoefkens' work > > > > From cnn.com, it may be of interest to interval community because of the > > Moore-Berz-Hoefkens et al. paper and algorithm > > > > Giant asteroid could hit Earth in 2014 > > > > Tuesday, September 2, 2003 Posted: 11:38 AM EDT (1538 GMT) > > > > LONDON, England (Reuters) -- A giant asteroid is heading for Earth > > and could hit in 2014, U.S. astronomers have warned British space > monitors. > > > > But for those fearing Armageddon, don't be alarmed -- the chances > > of a catastrophic collision are just one in 909,000. > > > > Asteroid "2003 QQ47" will be closely monitored over > > the next two months. Its potential strike date is March > > 21, 2014, but astronomers say that any risk of impact > > is likely to decrease as further data is gathered. > > > > On impact, it could have the effect of 20 million > > Hiroshima atomic bombs, a spokesman for the British > > government's Near Earth Object Information Centre > > told BBC radio. > > > > The Centre issued the warning about the asteroid > > after the giant rock was first observed in New Mexico > > by the Lincoln Near Earth Asteroid Research Program. > > > > "The Near Earth Object will be observable from Earth > > for the next two months and astronomers will continue > > to track it over this period," said Dr Alan Fitzsimmons, > > one of the expert team advising the Centre. > > > > Asteroids such as 2003 QQ47 are chunks of rock left > > over from the formation of the solar system 4.5 billion > > years ago. Most are kept at a safe distance from the > > Earth in the asteroid belt between Mars and Jupiter. > > > > But the gravitational influence of giant planets such > > as Jupiter can nudge asteroids out of these safe > > orbits and send them plunging towards Earth. > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 14:39:06 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h82Jd5S01358 for reliable_computing-outgoing; Tue, 2 Sep 2003 14:39:05 -0500 (CDT) Received: from brmea-mail-2.sun.com (brmea-mail-2.Sun.COM [192.18.98.43]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h82Jd0Y01354 for ; Tue, 2 Sep 2003 14:39:00 -0500 (CDT) Received: from sr-ucmh03-01.Central.Sun.COM ([129.154.100.9]) by brmea-mail-2.sun.com (8.12.9/8.12.9) with ESMTP id h82JZBWN021917 for ; Tue, 2 Sep 2003 13:35:23 -0600 (MDT) Received: from sr-ucmh03-01 (sr-ucmh03-01 [129.154.100.9]) by sr-ucmh03-01.Central.Sun.COM (8.12.9+Sun/8.12.9/ENSMAIL,v2.2) with SMTP id h82JZAKi050430 for ; Tue, 2 Sep 2003 15:35:10 -0400 (EDT) Message-Id: <200309021935.h82JZAKi050430@sr-ucmh03-01.Central.Sun.COM> Date: Tue, 2 Sep 2003 15:35:10 -0400 (EDT) From: Devin Moore Reply-To: Devin Moore Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: Z/UHfbPC794YfnAbvXSU1A== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.5.3_06 SunOS 5.9 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Furthermore, suppose that intervals can show that the asteroid is definitely going to hit earth, unavoidably and with dire consequences. Do we tell anyone? There are enough astronomers in the world that suppressing such information would be nearly impossible. Devin Moore > From: "Ray Moore" > > An interesting philosophical question related to all this is the following. > > Suppose some day we find out that a large asteroid or comet is headed for a > direct collision with earth at a certain year in the future, say ten years. > By large, I mean large enough that it cannot be deflected or destroyed, and > large enough to pretty much devastate "civilization" as we have known it. > About a kilometer in diameter should be large enough for all that. > > The question is: how would we behave, as a society and personally? > > Does it matter? Maybe. > > Ray Moore > > > ----- Original Message ----- > From: "Ray Moore" > To: "Vladik Kreinovich" ; > > Cc: "Vladik Kreinovich" ; > Sent: Tuesday, September 02, 2003 3:16 PM > Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work > > > > To those interested in this subject, please also see an update: > > > > http://www.hohmanntransfer.com/news.htm > > > > Ray Moore > > > > ----- Original Message ----- > > From: "Vladik Kreinovich" > > To: > > Sent: Tuesday, September 02, 2003 2:32 PM > > Subject: may be of interest in view of Moore and Berz and Hoefkens' work > > > > > > > From cnn.com, it may be of interest to interval community because of the > > > Moore-Berz-Hoefkens et al. paper and algorithm > > > > > > Giant asteroid could hit Earth in 2014 > > > > > > Tuesday, September 2, 2003 Posted: 11:38 AM EDT (1538 GMT) > > > > > > LONDON, England (Reuters) -- A giant asteroid is heading for Earth > > > and could hit in 2014, U.S. astronomers have warned British space > > monitors. > > > > > > But for those fearing Armageddon, don't be alarmed -- the chances > > > of a catastrophic collision are just one in 909,000. > > > > > > Asteroid "2003 QQ47" will be closely monitored over > > > the next two months. Its potential strike date is March > > > 21, 2014, but astronomers say that any risk of impact > > > is likely to decrease as further data is gathered. > > > > > > On impact, it could have the effect of 20 million > > > Hiroshima atomic bombs, a spokesman for the British > > > government's Near Earth Object Information Centre > > > told BBC radio. > > > > > > The Centre issued the warning about the asteroid > > > after the giant rock was first observed in New Mexico > > > by the Lincoln Near Earth Asteroid Research Program. > > > > > > "The Near Earth Object will be observable from Earth > > > for the next two months and astronomers will continue > > > to track it over this period," said Dr Alan Fitzsimmons, > > > one of the expert team advising the Centre. > > > > > > Asteroids such as 2003 QQ47 are chunks of rock left > > > over from the formation of the solar system 4.5 billion > > > years ago. Most are kept at a safe distance from the > > > Earth in the asteroid belt between Mars and Jupiter. > > > > > > But the gravitational influence of giant planets such > > > as Jupiter can nudge asteroids out of these safe > > > orbits and send them plunging towards Earth. > > > > > > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 2 21:33:24 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h832XNv01801 for reliable_computing-outgoing; Tue, 2 Sep 2003 21:33:23 -0500 (CDT) Received: from yonge.cs.toronto.edu (root [at] yonge [dot] cs.toronto.edu [128.100.1.8]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h832XFY01797 for ; Tue, 2 Sep 2003 21:33:16 -0500 (CDT) Received: from jane.cs.toronto.edu ([128.100.2.31]) by yonge.cs.toronto.edu with SMTP id <199640-17926>; Tue, 2 Sep 2003 20:31:33 -0400 Received: from qew.cs.toronto.edu by jane.cs.toronto.edu id <453145-26542>; Tue, 2 Sep 2003 20:31:17 -0400 From: Wayne Hayes To: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: may be of interest in view of Moore and Berz and Hoefkens' work Message-Id: <03Sep2.203117edt.453145-26542 [at] jane [dot] cs.toronto.edu> Date: Tue, 2 Sep 2003 20:31:16 -0400 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Devin.Moore [at] sun [dot] com writes: >Furthermore, suppose that intervals can show that the asteroid is definitely >going to hit earth, unavoidably and with dire consequences. Do we tell >anyone? Of course. If there really *was* 10 years warning, we almost certainly *could* mount a "deflection" mission. We have the technology for large-ship inter-planetary flight, we've just chosen to mostly ignore it for the past 30 years. I'd say that once it was certain it'd hit, we'd have a mission ready to launch in 2 years or less. Heck, we went to the Moon from *nothing* in just over 8 years. With the Earth on the line, I think we could easily go from where we are now to a major planet-saving launch in 2 years or less --- several redundant launches, actually --- with a rendezvous another year or two after that. Earlier if we send people to do the job. (Which would probably be wise.) We'd have to change it's orbital radius by no more than one Earth radius. If M is the mass of the Sun, m is the mass of the asteroid, R is the orbital radius of the asteroid (say about 1 AU = 150 million km) and r is the radius of the Earth (about 6000 km), then the energy change required is at most GMm/R - GMm/(R-r) which works out to about 1e18 Joules, which co-incidentally is just about exactly the energy output of the largest nuclear bomb we've ever built. Of course, a nuclear bomb may not be the best choice of device, but it demonstrates that moving this monster out of the way is plausibly within our grasp. Assuming we have 10 years, of course. Maybe 5 would suffice, but much less than that and we're probably out of luck. So, Ray, your question still stands, but with a time limit of maybe 5 years, rather than 10. :-) From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 3 08:44:44 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h83DiiL02770 for reliable_computing-outgoing; Wed, 3 Sep 2003 08:44:44 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h83Difx02765 for reliable_computing [at] interval [dot] louisiana.edu; Wed, 3 Sep 2003 08:44:41 -0500 (CDT) Received: from delgado.inria.fr (IDENT:root [at] delgado [dot] inria.fr [138.96.116.18]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h838YiY02262 for ; Wed, 3 Sep 2003 03:34:45 -0500 (CDT) Received: (from aneumaie@localhost) by delgado.inria.fr (8.12.8/8.12.5) id h838Yad4017839; Wed, 3 Sep 2003 10:34:36 +0200 Date: Wed, 3 Sep 2003 10:34:36 +0200 From: Arnold Neumaier Message-Id: <200309030834.h838Yad4017839 [at] delgado [dot] inria.fr> To: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: An interesting philosophical question Cc: Arnold.Neumaier [at] univie [dot] ac.at Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Ray Moore wrote: > > An interesting philosophical question related to all this is the following. > > Suppose some day we find out that a large asteroid or comet is headed for a > direct collision with earth at a certain year in the future, say ten years. > By large, I mean large enough that it cannot be deflected or destroyed, and > large enough to pretty much devastate "civilization" as we have known it. > About a kilometer in diameter should be large enough for all that. > > The question is: how would we behave, as a society and personally? > > Does it matter? Maybe. > The wisdom of the ancients is that one should live that one is ready to die at any time. The Christian answer is that one lives for God, considering oneself already dead to the world. This frees us from fear, and allows us to focus of what is best in the eyes of God. The world, or at least our civilization, is not made to last forever, and our life here is just a preparation for what is to come. Live now in a way you never need to regret. Then the threat of an asteroid impact does not matter, but we may still take actions to try and prevent it. Arnold Neumaier From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 3 09:57:57 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h83Evvo02955 for reliable_computing-outgoing; Wed, 3 Sep 2003 09:57:57 -0500 (CDT) Received: from marnier.ucs.louisiana.edu (root [at] marnier [dot] ucs.louisiana.edu [130.70.132.233]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h83EvqY02951 for ; Wed, 3 Sep 2003 09:57:52 -0500 (CDT) Received: from liberty (liberty.louisiana.edu [130.70.46.171]) by marnier.ucs.louisiana.edu (8.11.3/8.11.3/ull-ucs-mx-host_1.6) with SMTP id h83EvnC03143; Wed, 3 Sep 2003 09:57:49 -0500 (CDT) Message-Id: <2.2.32.20030903150043.016442c0 [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Wed, 03 Sep 2003 10:00:43 -0500 To: Arnold Neumaier , reliable_computing [at] interval [dot] louisiana.edu From: "R. Baker Kearfott" Subject: Re: An interesting philosophical question Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Ah, yes. I suppose there are some things for which science and technology alone cannot prepare us. The big problem I see is determining, for both large and small tasks, what the actual limits of science and technology can do. That is, proofs that "this cannot be done" seem to be difficult, and one must proceed with caution when making such assertions, lest we discourage progress :-) Best regards, Baker At 10:34 AM 9/3/03 +0200, Arnold Neumaier wrote: > > >Ray Moore wrote: >> >> An interesting philosophical question related to all this is the following. >> >> Suppose some day we find out that a large asteroid or comet is headed for a >> direct collision with earth at a certain year in the future, say ten years. >> By large, I mean large enough that it cannot be deflected or destroyed, and >> large enough to pretty much devastate "civilization" as we have known it. >> About a kilometer in diameter should be large enough for all that. >> >> The question is: how would we behave, as a society and personally? >> >> Does it matter? Maybe. >> > >The wisdom of the ancients is that one should live that one is ready >to die at any time. The Christian answer is that one lives for God, >considering oneself already dead to the world. This frees us from fear, >and allows us to focus of what is best in the eyes of God. The world, >or at least our civilization, is not made to last forever, and our life >here is just a preparation for what is to come. > >Live now in a way you never need to regret. Then the threat of an asteroid >impact does not matter, but we may still take actions to try and prevent it. > >Arnold Neumaier > > > --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 3 10:29:01 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h83FT1903121 for reliable_computing-outgoing; Wed, 3 Sep 2003 10:29:01 -0500 (CDT) Received: from nwkea-mail-1.sun.com (nwkea-mail-1.sun.com [192.18.42.13]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h83FStY03117 for ; Wed, 3 Sep 2003 10:28:55 -0500 (CDT) Received: from sr-ucmh03-01.Central.Sun.COM ([129.154.100.9]) by nwkea-mail-1.sun.com (8.12.9/8.12.9) with ESMTP id h83FQo5i021815 for ; Wed, 3 Sep 2003 08:26:51 -0700 (PDT) Received: from sr-ucmh03-01 (sr-ucmh03-01 [129.154.100.9]) by sr-ucmh03-01.Central.Sun.COM (8.12.9+Sun/8.12.9/ENSMAIL,v2.2) with SMTP id h83FQoKi041371 for ; Wed, 3 Sep 2003 11:26:50 -0400 (EDT) Message-Id: <200309031526.h83FQoKi041371@sr-ucmh03-01.Central.Sun.COM> Date: Wed, 3 Sep 2003 11:26:50 -0400 (EDT) From: Devin Moore Reply-To: Devin Moore Subject: Re: An interesting philosophical question To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: K5tJZaX/q8kOzV3EtH6vBg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.5.3_06 SunOS 5.9 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk The determination that "this cannot be done" is perhaps not as practical as "this is prohibitively difficult to do with current technology". Many famous predictions about impossibility have been proven wrong by the curiosity of some amazingly inventive individual (i.e. Galileo vs. "the Earth doesn't go around the Sun"). Devin Moore > X-Sender: rbk5287 [at] pop [dot] louisiana.edu > Date: Wed, 03 Sep 2003 10:00:43 -0500 > To: Arnold Neumaier , reliable_computing [at] interval [dot] louisiana.edu > From: "R. Baker Kearfott" > Subject: Re: An interesting philosophical question > > Ah, yes. I suppose there are some things for which science and > technology alone cannot prepare us. > > The big problem I see is determining, for both large and small > tasks, what the actual limits of science and technology can do. > That is, proofs that "this cannot be done" seem to be difficult, > and one must proceed with caution when making such assertions, > lest we discourage progress :-) > > Best regards, > > Baker > > At 10:34 AM 9/3/03 +0200, Arnold Neumaier wrote: > > > > > >Ray Moore wrote: > >> > >> An interesting philosophical question related to all this is the following. > >> > >> Suppose some day we find out that a large asteroid or comet is headed for a > >> direct collision with earth at a certain year in the future, say ten years. > >> By large, I mean large enough that it cannot be deflected or destroyed, and > >> large enough to pretty much devastate "civilization" as we have known it. > >> About a kilometer in diameter should be large enough for all that. > >> > >> The question is: how would we behave, as a society and personally? > >> > >> Does it matter? Maybe. > >> > > > >The wisdom of the ancients is that one should live that one is ready > >to die at any time. The Christian answer is that one lives for God, > >considering oneself already dead to the world. This frees us from fear, > >and allows us to focus of what is best in the eyes of God. The world, > >or at least our civilization, is not made to last forever, and our life > >here is just a preparation for what is to come. > > > >Live now in a way you never need to regret. Then the threat of an asteroid > >impact does not matter, but we may still take actions to try and prevent it. > > > >Arnold Neumaier > > > > > > > --------------------------------------------------------------- > R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) > (337) 482-5270 (work) (337) 993-1827 (home) > URL: http://interval.louisiana.edu/kearfott.html > Department of Mathematics, University of Louisiana at Lafayette > Box 4-1010, Lafayette, LA 70504-1010, USA > --------------------------------------------------------------- > From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 3 11:35:49 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h83GZn203300 for reliable_computing-outgoing; Wed, 3 Sep 2003 11:35:49 -0500 (CDT) Received: from cmsrelay02.mx.net (cmsrelay02.mx.net [165.212.11.111]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h83GZhY03296 for ; Wed, 3 Sep 2003 11:35:43 -0500 (CDT) Received: from uadvg137.cms.usa.net (165.212.11.137) by cmsoutbound.mx.net with SMTP; 3 Sep 2003 16:35:36 -0000 Received: from uwdvg008.cms.usa.net [165.212.8.8] by uadvg137.cms.usa.net (ASMTP/) via mtad (C8.MAIN.3.11E) with ESMTP id 868Hicqjf0085M37; Wed, 03 Sep 2003 16:35:32 GMT X-USANET-Auth: 165.212.8.8 AUTO musayev [at] usa [dot] net uwdvg008.cms.usa.net Received: from 207.46.228.16 [207.46.228.16] by uwdvg008.cms.usa.net (USANET web-mailer CM.0402.6.08); Wed, 03 Sep 2003 16:35:30 -0000 Date: Wed, 03 Sep 2003 09:35:30 -0700 From: ELDAR MUSAYEV To: Arnold Neumaier , Subject: Re: [Re: An interesting philosophical question ] CC: X-Mailer: USANET web-mailer (CM.0402.6.08) Mime-Version: 1.0 Message-ID: <133HicqjE6064S08.1062606930 [at] uwdvg008 [dot] cms.usa.net> Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h83GZiY03297 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk I resisted joining the spam thread, but failed... One kilometer asteroid is only unmanagable, if you rely on cowboys in shuttles, because shuttle cannot go further than Earth's orbit and that's when it's already too late. If you take less cinematic approach and have 10 years ahead, much bigger masses are managable because over such time and distance all you need is a very small change in trajectory. Nobody says it's easy, but if civilization is at stake, it's managable. That's probably the reason why people at real space agencies (NASA, Russian Space Force) are only concerned with asteroids as an additional [albeit very slim] chance to get more financing, they are severely deprived of lately. As to the principal question nothing changed, humans are still the greatest threat to the human civilization, as well as the greatest hope. And we already survived a number of catastrophes, which changed our civilization. It's just most of them happens in the Eastern hemisphere. World War I and II were not fun, and crush of Soviet Union already destroyed a civilization quite diferent from what we have here in US. And they all were accompanied by a huge death toll and chasms in a food production. Speaking of smaller incidents, making US what it is now crushed farmers' agriculural America and I don't even mention what did the Civil War to the South (ever read or watched "Gone with the Wind"?) It's easy to believe that Arizona farmer in 30s or Virdginia gentelman of late XIX century could prefer a meteorite. On a positive note, there is a theory that human species evolved their huge brains as an adapation to quickly changing environement of an earlier Ice Age. So, we are all survivors by the nature, change is what made us the dominant species. Thanks for your time, Eldar Arnold Neumaier wrote: > > > Ray Moore wrote: > > > > An interesting philosophical question related to all this is the following. > > > > Suppose some day we find out that a large asteroid or comet is headed for a > > direct collision with earth at a certain year in the future, say ten years. > > By large, I mean large enough that it cannot be deflected or destroyed, and > > large enough to pretty much devastate "civilization" as we have known it. > > About a kilometer in diameter should be large enough for all that. > > > > The question is: how would we behave, as a society and personally? > > > > Does it matter? Maybe. > > > > The wisdom of the ancients is that one should live that one is ready > to die at any time. The Christian answer is that one lives for God, > considering oneself already dead to the world. This frees us from fear, > and allows us to focus of what is best in the eyes of God. The world, > or at least our civilization, is not made to last forever, and our life > here is just a preparation for what is to come. > > Live now in a way you never need to regret. Then the threat of an asteroid > impact does not matter, but we may still take actions to try and prevent it. > > Arnold Neumaier > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 3 12:46:48 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h83HklY03472 for reliable_computing-outgoing; Wed, 3 Sep 2003 12:46:47 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h83HkhY03468 for ; Wed, 3 Sep 2003 12:46:43 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h83HkaV12475; Wed, 3 Sep 2003 11:46:36 -0600 (MDT) Message-Id: <200309031746.h83HkaV12475 [at] cs [dot] utep.edu> Date: Wed, 3 Sep 2003 11:46:36 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: FW: may be of interest in view of Moore and Berz and Hoefkens' work To: berz [at] msu [dot] edu, reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: 9/RXkzszNE2djfzhqNDEgg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, I cited names from memory but now that I looked into the papers I found out, to my embarrassment, that I missed the name of Kyoko Makino. I apologize for this unfortunate omission. Vladik From owner-reliable_computing [at] interval [dot] louisiana.edu Thu Sep 4 15:56:42 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h84KugG04877 for reliable_computing-outgoing; Thu, 4 Sep 2003 15:56:42 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h84KuWY04873 for ; Thu, 4 Sep 2003 15:56:33 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h84KuJD25542 for ; Thu, 4 Sep 2003 14:56:19 -0600 (MDT) Message-Id: <200309042056.h84KuJD25542 [at] cs [dot] utep.edu> Date: Thu, 4 Sep 2003 14:56:18 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: The Fourth International Conference on Intelligent Technologies To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: 1rB7nNe7JR7VKAaY4QPyrw== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk FYI: deadline extended ------------- Begin Forwarded Message ------------- " The Fourth International Conference on Intelligent Technologies (InTech'03) will be held in Chiangmai, Thailand, during Dec, 17-19 , 2003. Deadline for on line paper submission is September 15, 2003. Please use www.ist.cmu.ac.th/intech " Thanks Hung T. Nguyen ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Sat Sep 6 21:15:46 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h872Fke07726 for reliable_computing-outgoing; Sat, 6 Sep 2003 21:15:46 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h872FVY07722 for ; Sat, 6 Sep 2003 21:15:41 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h871Lfk16618; Sat, 6 Sep 2003 19:21:45 -0600 (MDT) Message-Id: <200309070121.h871Lfk16618 [at] cs [dot] utep.edu> Date: Sat, 6 Sep 2003 19:21:40 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: deadline approaching: interval minisymposium in Denmark in June 2004 To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=ISO-8859-1 Content-MD5: t9tyX+w9lG8YTBLrrqNe3A== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from QUOTED-PRINTABLE to 8bit by interval.louisiana.edu id h872FgY07723 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, Luke Achenie and I volunteered to organize a minisymposium on Interval Methods for the PARA'04 Workshop "State-of-the-Art in Scientific Computing" http://www.imm.dtu.dk/~jw/para04/ This workshop will be held in Lyngby, Denmark June 20-23, 2004. Judging by the previous workshops, the organizers expect about 150 participants. GENERAL EMPHASIS OF THE WORKSHOP The emphasis of the workshop will be on high-performance computing (HPC). The ongoing development of ever more advanced computers provides the potential for solving increasingly difficult computational problems. However, given the complexity of modern computer architectures, the task of realizing this potential needs careful attention. A main concern of HPC is the development of software that optimizes the performance of a given computer. FORMAT The workshop will consists of several minisymposia. A typical minisymposium consists of a principal lecture, given by the organizer(s), and several 15-20 minutes given by the other speakers (at least 3). Similarly to SIAM meetings, if more speakers appear, the minisymposium will be divided into several sessions. ORGANIZERS The Workshop Organizing Committee consists of Jack Dongarra (University of Tennessee and Oak Ridge National Laboratory), and Kaj Madsen and Jerzy Wasniewski (Technical University of Denmark). INTERVALS ARE VERY WELCOME Kaj Madsen, as a specialist in interval computations, is eager to use this opportunity to promote interval computations and their use in scientific computing. The experience of the First Scandinavian Workshop on Interval Methods and Their Applications (Lyngby, Denmark, August 14-16, 2003, http://www.imm.dtu.dk/~km/int-03/) has shown that there is a serious interest in intervals in Denmark and in Scandinavia in general, and a lot of very good research in intervals and their applications. The ultimate objective of interval computations has always been to apply these methods to practical problems. This workshop provides a unique opportunity to promote collaboration between interval researchers and applications folks. To enhance this collaboration, the workshop will be preceded by two tutorials on June 20: a tutorial on Automatic Differentiation and a tutorial on Interval Computations. George Corliss has kindly agreed to deliver the interval tutorial. Technical talks will be held on June 21-23. DEADLINE The deadline for minisymposium proposals is October 30, 2003. So, if you are interested in participating, please send the title and a short abstract of your proposed talk to us at achenie [at] engr [dot] uconn.edu, vladik [at] cs [dot] utep.edu (copy to Kaj at km [at] imm [dot] dtu.dk) as soon as possible, but not later than October 28. PROCEEDINGS Full 7-page versions of accepted abstracts are due by March 15, 2003. Proceedings will be published before the Workshop. SOCIAL PROGRAM The workshop organizers plan a magnificent social program. Judging by the 2003 First Scandinavian Workshop on Interval Methods and Their Applications where the conference dinner was held in world-famous Tivoli Gardens on the night when the Tivoli Amusement Park (one of the world's first and most famous) was celebrating its 160th anniversary, the organizers know how to make it magnificent. During the 2004 workshop, a conference dinner will be held in the Danish Royal Theater followed by an opera performance. A special event is planned on June 23, the eve of St. Hans (St. John's) Day. This eve - the end of one of the longest days of the year, when the sun almost does not go down at all - is celebrated by bonfires on the beaches. A watching of the bonfires will be organized for those who will stay here the whole day of June 23. Special entertainment is planned for accompanying persons. See you all in Denmark! From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Sep 7 12:17:36 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h87HHZ408993 for reliable_computing-outgoing; Sun, 7 Sep 2003 12:17:35 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h87HHOY08989 for ; Sun, 7 Sep 2003 12:17:30 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h87HGjN20958 for ; Sun, 7 Sep 2003 11:16:47 -0600 (MDT) Message-Id: <200309071716.h87HGjN20958 [at] cs [dot] utep.edu> Date: Sun, 7 Sep 2003 11:16:45 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: CS in Math Reviews To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: hO3f1bPLrisq+N7wUtscRg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, Since interval computations is in between CS and Math, some of you may have suggestions. Vladik P.S. Reliable Computing is in their list, I just checked. ------------- Begin Forwarded Message ------------- Date: Wed, 3 Sep 2003 12:48:07 -0400 (EDT) From: "R. Suzanne Zeitman" X-X-Sender: rsz [at] otto [dot] mr.ams.org To: vladik [at] cs [dot] utep.edu cc: "R. Suzanne Zeitman" Subject: CS in Math Reviews MIME-Version: 1.0 X-Scanned-By: MIMEDefang 1.0 (http://www.roaringpenguin.com/mimedefang/) Dear Professor Kosheleva, I am the editor at Mathematical Reviews in charge of the section (68) on computer science. I am writing to ask for your advice on restructuring our coverage of the computer science literature. Until now, our focus has been on computer science papers that contain or use mathematics. Now we wish to expand our coverage of computer science. Until now, our options for individual papers have been to review them (either by sending them out to a reviewer or by using the summary) or to list them by author, title, etc. (i.e. to include full bibliographic information) with a classification (e.g. 68Q60, 68T27) but without a review. Recently it has been decided to add a new type of treatment for papers in computer science. Some papers in statistics are already handled in this manner. For certain pre-specified journals, we will automatically include bibliographic information for all the papers they contain, but without a classification or review. In every other respect these papers will be treated just like all other items in the Mathematical Reviews Database. I will be selecting a number (probably between 20 and 30) journals (that we do not currently cover) for which we will provide, if possible, this new type of treatment. Do you have any advice on the choice of these journals? Are there specific journals in your area that you feel we should add to our database (for any type of treatment, new or conventional)? There is no real need to worry about suggesting journals that we already cover, but if you want to check whether a specific journal is covered by Mathematical Reviews, you can search the journals database in MathSciNet or view the list of journals covered and their abbreviations in PDF at: http://www.ams.org/msnhtml/serials.pdf In general, any suggestions (from you or your colleagues) on what we can do to improve our coverage of the computer science literature would be most welcome. Thanks for any help that you can give. R. Suzanne Zeitman Associate Editor Mathematical Reviews rsz [at] ams [dot] org ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 8 00:39:46 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h885dje09621 for reliable_computing-outgoing; Mon, 8 Sep 2003 00:39:45 -0500 (CDT) Received: from brmea-mail-2.sun.com (brmea-mail-2.Sun.COM [192.18.98.43]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h885dIY09617 for ; Mon, 8 Sep 2003 00:39:28 -0500 (CDT) Received: from heliopolis.eng.sun.com ([152.70.1.39]) by brmea-mail-2.sun.com (8.12.9/8.12.9) with ESMTP id h885cgRH022966; Sun, 7 Sep 2003 23:38:42 -0600 (MDT) Received: from sun.com (vpn-129-150-18-117.SFBay.Sun.COM [129.150.18.117]) by heliopolis.eng.sun.com (8.11.6+Sun/8.11.6/ENSMAIL,v2.1p1) with ESMTP id h885cTQ21282; Sun, 7 Sep 2003 22:38:30 -0700 (PDT) Message-ID: <3F5C1643.1020700 [at] sun [dot] com> Date: Sun, 07 Sep 2003 22:40:19 -0700 From: "G. William Walster" Reply-To: bill.walster [at] sun [dot] com Organization: Sun Microsystems Laboratories User-Agent: Mozilla/5.0 (Macintosh; U; PPC Mac OS X Mach-O; en-US; rv:1.4) Gecko/20030624 Netscape/7.1 X-Accept-Language: en-us, en MIME-Version: 1.0 To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Subject: [Fwd: Interval Arithmetic - Point Arithmetic Scoping] Content-Type: multipart/mixed; boundary="------------090801040108090001080902" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. --------------090801040108090001080902 Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Dear interval community members, John Gustafson has written a paper in which he postulates three classes of technical computing problems: those that can be solved using intervals; those that can be solved using points; and, those that can be solved using intervals or points. See the attached .pdf file. Clearly judgment is required to make this classification and the time interval over which the classification is to apply must be specified. To be specific, lets say that we are talking about practical problems that can now be solved, or problems that can be solved in three to five years with a reasonable research and development effort. The reference to "purpose-based benchmarks" in Gustafson's paper is to a set of problems that are designed to be representative of real technical and scientific computing. They are designed to be more realistic than the typical "activity" benchmarks that count flops, or only report how fast approximate solutions to linear systems are computed. A key aspect of the purpose-based benchmarks' specification is a realistic accuracy requirement. John postulates some problems are still best solved, or are only solvable using points. Because none of us is probably aware of all the interval applications and research that are ongoing, it seems reasonable to ask the interval community if anybody knows of relevant applications or research that might help "sharpen" this classification. Please send references and/or pointers to papers online that we might access. In addition, if there are any relevant reports or papers you might have, please send them as email attachments to me. Your thoughts, opinions, and comments are welcome as well. 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(8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h88HkJY10493 for ; Mon, 8 Sep 2003 12:46:30 -0500 (CDT) Received: from heliopolis.eng.sun.com ([152.70.28.21]) by brmea-mail-2.sun.com (8.12.9/8.12.9) with ESMTP id h88HjtRH002076; Mon, 8 Sep 2003 11:45:55 -0600 (MDT) Received: from sun.com (sml-mtv29-dhcp-34-115 [152.70.34.115]) by heliopolis.eng.sun.com (8.11.6+Sun/8.11.6/ENSMAIL,v2.1p1) with ESMTP id h88HjqQ15410; Mon, 8 Sep 2003 10:45:52 -0700 (PDT) Message-ID: <3F5CC0BE.90607 [at] sun [dot] com> Date: Mon, 08 Sep 2003 10:47:42 -0700 From: "G. William Walster" Reply-To: bill.walster [at] sun [dot] com Organization: Sun Microsystems Laboratories User-Agent: Mozilla/5.0 (Macintosh; U; PPC Mac OS X Mach-O; en-US; rv:1.4) Gecko/20030624 Netscape/7.1 X-Accept-Language: en-us, en MIME-Version: 1.0 To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Subject: [Fwd: [Fwd: Interval Arithmetic - Point Arithmetic Scoping]] Content-Type: multipart/mixed; boundary="------------000900050207080900070405" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. --------------000900050207080900070405 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit Dear interval community members, John Gustafson has written a paper in which he postulates three classes of technical computing problems: those that can be solved using intervals; those that can be solved using points; and, those that can be solved using intervals or points. See the attached .pdf file. Clearly judgment is required to make this classification and the time interval over which the classification is to apply must be specified. To be specific, lets say that we are talking about practical problems that can now be solved, or problems that can be solved in three to five years with a reasonable research and development effort. The reference to "purpose-based benchmarks" in Gustafson's paper is to a set of problems that are designed to be representative of real technical and scientific computing. They are designed to be more realistic than the typical "activity" benchmarks that count flops, or only report how fast approximate solutions to linear systems are computed. A key aspect of the purpose-based benchmarks' specification is a realistic accuracy requirement. John postulates some problems are still best solved, or are only solvable using points. Because none of us is probably aware of all the interval applications and research that are ongoing, it seems reasonable to ask the interval community if anybody knows of relevant applications or research that might help "sharpen" this classification. Please send references and/or pointers to papers online that we might access. In addition, if there are any relevant reports or papers you might have, please send them as email attachments to me. Your thoughts, opinions, and comments are welcome as well. 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(8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h88KgrY10768 for ; Mon, 8 Sep 2003 15:43:03 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp01.ogw.rr.com (8.12.5/8.12.2) with SMTP id h88JOiGY003981; Mon, 8 Sep 2003 15:24:45 -0400 (EDT) Message-ID: <000c01c3763e$e75e6940$f6ac1841@REM> From: "Ray Moore" To: , , References: <3F5CC0BE.90607 [at] sun [dot] com> Subject: Re: [Fwd: Interval Arithmetic - Point Arithmetic Scoping]] Date: Mon, 8 Sep 2003 15:25:03 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear John and all, The paper shows that considerable thought has gone into its writing. I would only quibble with one part. On page 4, in paragraph 11), about solving problems involving ranges that are large . ., the paper states ". . .it is possible to use point values to represent top and bottom of the range and do all the computations for each case.. . ." That only works with point method if all the computed quantities are monotonic with respect to all the input quantities, which will almost NEVER happen. best regards to all, Ray Moore ----- Original Message ----- From: "G. William Walster" To: ; Sent: Monday, September 08, 2003 1:47 PM Subject: [Fwd: [Fwd: Interval Arithmetic - Point Arithmetic Scoping]] > > Dear interval community members, > > John Gustafson has written a paper in which he postulates three > classes of technical computing problems: those that can be solved using > intervals; those that can be solved using points; and, those that can > be solved using intervals or points. See the attached .pdf file. > > Clearly judgment is required to make this classification and the > time interval over which the classification is to apply must be > specified. To be specific, lets say that we are talking about practical > problems that can now be solved, or problems that can be solved in > three to five years with a reasonable research and development effort. > > The reference to "purpose-based benchmarks" in Gustafson's paper is > to a set of problems that are designed to be representative of real > technical and scientific computing. They are designed to be more > realistic than the typical "activity" benchmarks that count flops, or > only report how fast approximate solutions to linear systems are > computed. A key aspect of the purpose-based benchmarks' specification > is a realistic accuracy requirement. > > John postulates some problems are still best solved, or are only > solvable using points. Because none of us is probably aware of all the > interval applications and research that are ongoing, it seems > reasonable to ask the interval community if anybody knows of relevant > applications or research that might help "sharpen" this classification. > > Please send references and/or pointers to papers online that we > might access. In addition, if there are any relevant reports or papers > you might have, please send them as email attachments to me. > > Your thoughts, opinions, and comments are welcome as well. > > Thanks in advance, > > Bill > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 8 21:32:57 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h892Wvl11216 for reliable_computing-outgoing; Mon, 8 Sep 2003 21:32:57 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h892Woo11211 for reliable_computing [at] interval [dot] louisiana.edu; Mon, 8 Sep 2003 21:32:50 -0500 (CDT) Received: from imeil.udg.es (imeil.udg.es [130.206.45.97]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h85C3eY06020 for ; Fri, 5 Sep 2003 07:03:40 -0500 (CDT) Received: from imeil.udg.es (localhost.localdomain [127.0.0.1]) by imeil.udg.es (8.11.6/out/otb) with ESMTP id h85D3LR07122 for ; Fri, 5 Sep 2003 14:03:21 +0100 Received: from eia.udg.es (silver.udg.es [130.206.129.16]) by imeil.udg.es (8.11.6/in/otb) with ESMTP id h85D3Jg07112 for ; Fri, 5 Sep 2003 14:03:19 +0100 Received: from eia.udg.es (congre.udg.es [130.206.129.64]) by eia.udg.es (8.8.5/8.8.5) with ESMTP id OAA29178 for ; Fri, 5 Sep 2003 14:05:01 +0200 (MET DST) Message-ID: <3F587BA8.8030806 [at] eia [dot] udg.es> Date: Fri, 05 Sep 2003 14:03:52 +0200 From: Joaquim Armengol Llobet Organization: Universitat de Girona User-Agent: Mozilla/5.0 (Windows; U; Windows NT 5.1; ca; rv:1.3) Gecko/20030312 X-Accept-Language: ca-es MIME-Version: 1.0 To: Reliable Computing Subject: 4 available PhD positions at MICElab Content-Type: multipart/mixed; boundary="------------070008010001000209060500" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. --------------070008010001000209060500 Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Dear colleagues, 4 PhD positions for research in control, supervision and identification of uncertain systems are available at the MICElab research group of the University of Girona (Catalonia, Spain). Girona is a small city in the area of Barcelona (95 km) with a small university. Nevertheless, it has some PhD programs awarded with the Label of Quality by the Spanish Government, which is given to the top 5 % PhD programs. One of these PhD programs is the PhD program on Information Technologies and Electrical Engineering. There are only four PhD programs on control engineering with the Label of Quality in Spain. Moreover, this program is associated to IGSOC (International Graduate School of Catalonia). Only programs that comply with the highest standards for advanced education and fulfil additional requirements regarding international outreach and use of English can associate to IGSOC (http://www.igsoc.com/). MICElab (http://eia.udg.es/mice/), which stands for Modal Interval and Control Engineering Laboratory, is a research group of the University of Girona that aims to develop tools based on Interval Analysis to deal with uncertain systems. Currently the group is working in several international and national research projects and needs PhD candidates to work on these projects. The available positions are enumerated below. You can find a more detailed description in the attached pdf file. Position 1. Subject: identification of uncertain complex structures subjected to external excitations (a large number of interval parameters appear in the model) with application to damage detection. Duration: 3-4 years Position 2. Subject: development of methodologies and tools to synthesize control laws for this kind of models. Duration: 3-4 years Position 3. Subject: Automatic detection and diagnosis of faults in uncertain systems using semiqualitative knowledge. Duration: 3-4 years Position 4. Subject: QFT based semiactive control of uncertain nonlinear flexible structures. Duration: 3-4 years For further details please contact Joaquim Armengol: armengol [at] eia [dot] udg.es Best wishes, -- Joaquim Armengol Llobet http://eia.udg.es/~armengol mailto:armengol [at] eia [dot] udg.es --------------070008010001000209060500 Content-Type: application/pdf; name="PhDMICE.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="PhDMICE.pdf" JVBERi0xLjIgDSXi48/TDQogDTEwIDAgb2JqDTw8DS9MZW5ndGggMTEgMCBSDT4+DXN0cmVh bQ0KQlQNODQuNzUgNzYxLjI1ICBURA0wIDAgMCByZyANL0YwIDEyICBUZg0tMC4wMjE4ICBU YyAtMC4wODUzICBUdyAoU3ViamVjdDogNCBhdmFpbGFibGUgUGhEIHBvc2l0aW9ucyBhdCBN SUNFbGFiICkgVGoNMjQxLjUgMCAgVEQgMCAgVGMgMCAgVHcgKCApIFRqDS0yNDEuNSAtMTQu MjUgIFREIC9GMSAxMiAgVGYNKCApIFRqDTAgLTEzLjUgIFREICg0KSBUag02IDAgIFREICgg KSBUag02IDAgIFREIC0wLjA3NzUgIFRjIDEuNTc3NSAgVHcgKFBoRCBwb3NpdGlvbnMgKSBU ag03Ni41IDAgIFREIC0wLjEwMjMgIFRjIDMuMzUyMyAgVHcgKGZvciByZXNlYXJjaCBpbiBj b250cm9sKSBUag0xMTMuMjUgMCAgVEQgMCAgVGMgMCAgVHcgKCwpIFRqDTMgMCAgVEQgKCAp 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MjJmMWVjNjM4YzRiY2RjNDQ1MzNkMGJmNTg3Pl0NPj4Nc3RhcnR4cmVmDTIzODAxDSUlRU9G DQ== --------------070008010001000209060500-- From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 10 06:45:53 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8ABjrk12543 for reliable_computing-outgoing; Wed, 10 Sep 2003 06:45:53 -0500 (CDT) Received: from GWOUT.thalesgroup.com (gwout.thalesgroup.com [195.101.39.227]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8ABj8I12539 for ; Wed, 10 Sep 2003 06:45:09 -0500 (CDT) Received: from thalescan.corp.thales (200.3.2.3) by GWOUT.thalesgroup.com (NPlex 6.5.026) id 3F4C863C000C3E31 for reliable_computing [at] interval [dot] louisiana.edu; Wed, 10 Sep 2003 09:50:21 +0200 Received: from tasplex.srv.cn.tasfr.thales ([194.151.12.2]) by thalescan with InterScan Messaging Security Suite; Wed, 10 Sep 2003 09:47:29 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by tasplex.srv.cn.tasfr.thales (NPlex 6.5.026) id 3F5E38B000002618 for reliable_computing [at] interval [dot] louisiana.edu; Wed, 10 Sep 2003 09:50:55 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by mes1.rm.tasfr.thales (NPlex 6.5.026) id 3F5E2AE400001D70; Wed, 10 Sep 2003 09:45:05 +0200 Received: from 61.25.85.134 by mes1.rm.tasfr.thales (InterScan E-Mail VirusWall NT); Wed, 10 Sep 2003 09:45:04 +0200 Message-ID: <3F5ED67F.BB1AA0DA [at] fr [dot] thalesgroup.com> Date: Wed, 10 Sep 2003 09:45:03 +0200 From: alexandre goldsztejn X-Mailer: Mozilla 4.75 [fr]C-CCK-MCD (WinNT; U) X-Accept-Language: fr-FR MIME-Version: 1.0 To: "reliable_computing [at] interval [dot] louisiana.edu" CC: Alexandre Goldsztejn Subject: question about Miranda theorem... Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear all, I found formulation of Miranda theorem which are stated with inequalities and other with strict inequalities : In the 1 dimensional case, f(a)?0 and f(b)>0 implies exists x in [a,b], f(x)=0 ( ]a,b[=int([a,b]) would be more precise ) or f(a)=?0 and f(b)>=0 implies exists x in [a,b], f(x)=0 Do some one know if one formulation implies the other one, if they are equivalent, if one is a mistake ? Thank you in advance, Regards Alexandre Goldsztejn. From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 10 09:49:40 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8AEneu12785 for reliable_computing-outgoing; Wed, 10 Sep 2003 09:49:40 -0500 (CDT) Received: from GWOUT.thalesgroup.com (gwout.thalesgroup.com [195.101.39.227]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8AEnOI12781 for ; Wed, 10 Sep 2003 09:49:25 -0500 (CDT) Received: from thalescan.corp.thales (200.3.2.3) by GWOUT.thalesgroup.com (NPlex 6.5.026) id 3F4C863C000D0B1D for reliable_computing [at] interval [dot] louisiana.edu; Wed, 10 Sep 2003 16:51:49 +0200 Received: from tasplex.srv.cn.tasfr.thales ([194.151.12.2]) by thalescan with InterScan Messaging Security Suite; Wed, 10 Sep 2003 16:48:58 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by tasplex.srv.cn.tasfr.thales (NPlex 6.5.026) id 3F5E38B000006C6D; Wed, 10 Sep 2003 16:52:24 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by mes1.rm.tasfr.thales (NPlex 6.5.026) id 3F5E2AE40000390E; Wed, 10 Sep 2003 16:46:34 +0200 Received: from 61.25.85.134 by mes1.rm.tasfr.thales (InterScan E-Mail VirusWall NT); Wed, 10 Sep 2003 16:46:34 +0200 Message-ID: <3F5F3949.4921D57E [at] fr [dot] thalesgroup.com> Date: Wed, 10 Sep 2003 16:46:33 +0200 From: alexandre goldsztejn X-Mailer: Mozilla 4.75 [fr]C-CCK-MCD (WinNT; U) X-Accept-Language: fr-FR MIME-Version: 1.0 To: "DIAN,JIANWEI (HP-USA,ex1)" CC: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: question about Miranda theorem... References: Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h8AEnaI12782 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk thank you for your answer. The example I gave is miranda theorem stated in 1 dimensional case ( ie bolzano's existence theorem or intermediate value theorem ) your argumentation solve my problem in this case, but I can generalize it to higher dimensions of miranda theorem : 2 implies 1 os ok for higher dimensions, but I can't achieve the generalisation of 1 implies 2 for example, let I=[-1,1] and B=I^2 if one knows that " [ f1(-1,I)>0 and f1(1,I)<0 and f2(I,-1)>0 and f2(I,1)<0 ] implies [ exists (x,y) in B , [ f1(x,y)=0 and f2(x,y)=0 ]]" can he show that [ " f1(-1,I)>=0 and f1(1,I)=<0 and f2(I,-1)>=0 and f2(I,1)=<0 ] implies [ exists (x,y) in B , [ f1(x,y)=0 and f2(x,y)=0 ]]" Alexandre Goldsztejn "DIAN,JIANWEI (HP-USA,ex1)" a écrit : > Hi Alexandre: > > > Do some one know if one formulation implies the other one, if they are > > equivalent, if one is a mistake ? > > Your formulations: > > 1. f(a)<0 and f(b)>0 implies exists x in [a,b], f(x)=0 ( > ]a,b[=int([a,b])would be more precise ) > > 2. f(a)<=0 and f(b)>=0 implies exists x in [a,b], f(x)=0 > > If a=b, then 1. is meaningless, but 2. still holds. Assume a them is a mistake, and any one of the two implies the other. We assume a below. > > *** 2. implies 1. - is obvious, since "f(a)<0 and f(b)>0" satisfies "f(a)<=0 > and f(b)>=0." > > *** 1. implies 2. - suppose 1. is true. Then, if f(a)=0 or f(b)=0, the > statement is automatically true; if not, which implies "f(a)<0 and f(b)>0," > then, by 1., 2. is true. > > By the way, you are right, replacing [a, b] by ]a,b[ in 1. will be more > precise (assuming a people could argue that "x in [a, b]" means "x in the interior of [a, b]." > If that's the case, then 2. will have problems. Anyway, this is only a > terminology issue.) > > Best regards. > > Jianwei > > ------------------------------- > Jianwei Dian, Ph.D. > Mathematical Software Group > > Hewlett-Packard Company > 3000 Waterview Parkway > Richardson, TX 75080 > USA > > Tel: 972-497-3057 > Fax: 972-497-4933 > E-mail: jianwei.dian [at] hp [dot] com > ------------------------------- > > > > -----Original Message----- > > From: alexandre goldsztejn > > [mailto:alexandre.goldsztejn [at] fr [dot] thalesgroup.com] > > Sent: Wednesday, September 10, 2003 2:45 AM > > To: reliable_computing [at] interval [dot] louisiana.edu > > Cc: Alexandre Goldsztejn > > Subject: question about Miranda theorem... > > > > > > Dear all, > > > > I found formulation of Miranda theorem which are stated with > > inequalities and other with strict inequalities : In the 1 dimensional > > case, > > > > f(a)?0 and f(b)>0 implies exists x in [a,b], f(x)=0 ( > > ]a,b[=int([a,b]) > > would be more precise ) > > or > > f(a)=?0 and f(b)>=0 implies exists x in [a,b], f(x)=0 > > > > Do some one know if one formulation implies the other one, if they are > > equivalent, if one is a mistake ? > > > > Thank you in advance, > > Regards > > Alexandre Goldsztejn. > > From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 10 11:17:39 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8AGHbR12997 for reliable_computing-outgoing; Wed, 10 Sep 2003 11:17:37 -0500 (CDT) Received: from GWOUT.thalesgroup.com (gwout.thalesgroup.com [195.101.39.227]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8AG7MI12992 for ; Wed, 10 Sep 2003 11:07:23 -0500 (CDT) Received: from thalescan.corp.thales (200.3.2.3) by GWOUT.thalesgroup.com (NPlex 6.5.026) id 3F4C863C000D24EB for reliable_computing [at] interval [dot] louisiana.edu; Wed, 10 Sep 2003 17:53:15 +0200 Received: from tasplex.srv.cn.tasfr.thales ([194.151.12.2]) by thalescan with InterScan Messaging Security Suite; Wed, 10 Sep 2003 17:50:22 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by tasplex.srv.cn.tasfr.thales (NPlex 6.5.026) id 3F5E38B00000758C; Wed, 10 Sep 2003 17:53:48 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by mes1.rm.tasfr.thales (NPlex 6.5.026) id 3F5E2AE400003C8F; Wed, 10 Sep 2003 17:47:54 +0200 Received: from 61.25.85.134 by mes1.rm.tasfr.thales (InterScan E-Mail VirusWall NT); Wed, 10 Sep 2003 17:47:53 +0200 Message-ID: <3F5F47A7.859E7385 [at] fr [dot] thalesgroup.com> Date: Wed, 10 Sep 2003 17:47:51 +0200 From: alexandre goldsztejn X-Mailer: Mozilla 4.75 [fr]C-CCK-MCD (WinNT; U) X-Accept-Language: fr-FR MIME-Version: 1.0 To: "DIAN,JIANWEI (HP-USA,ex1)" CC: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: question about Miranda theorem... References: Content-Type: multipart/mixed; boundary="------------C88AA2E19D23E98D14D74A2D" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Il s'agit d'un message multivolet au format MIME. --------------C88AA2E19D23E98D14D74A2D Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: quoted-printable Dear Jianwei, I joined two papers with two different formulations. thank you for your care. Alexandre. "DIAN,JIANWEI (HP-USA,ex1)" a =E9crit : > Hi Alexandre: > > I don't know whether multi-dimensional Miranda theorem was formulated i= n > both of the two forms as those stated in your message. If you know some= > literatures, or some other people know some literatures that contain th= e > formulations, please let me know. I would like to go check the literatu= res, > since I'm also interested in Miranda theorems, especially in > multi-dimensional case. > > Thanks, and best regards. > > Jianwei > > ------------------------------- > Jianwei Dian, Ph.D. > Mathematical Software Group > > Hewlett-Packard Company > 3000 Waterview Parkway > Richardson, TX 75080 > USA > > Tel: 972-497-3057 > Fax: 972-497-4933 > E-mail: jianwei.dian [at] hp [dot] com > ------------------------------- > > > -----Original Message----- > > From: alexandre goldsztejn > > [mailto:alexandre.goldsztejn [at] fr [dot] thalesgroup.com] > > Sent: Wednesday, September 10, 2003 9:47 AM > > To: DIAN,JIANWEI (HP-USA,ex1) > > Cc: reliable_computing [at] interval [dot] louisiana.edu > > Subject: Re: question about Miranda theorem... > > > > > > thank you for your answer. > > > > The example I gave is miranda theorem stated in 1 dimensional > > case ( ie > > bolzano's existence theorem or intermediate value theorem ) > > > > your argumentation solve my problem in this case, but I can > > generalize it to > > higher dimensions of miranda theorem : > > > > 2 implies 1 os ok for higher dimensions, > > > > but I can't achieve the generalisation of 1 implies 2 > > for example, let I=3D[-1,1] and B=3DI^2 > > > > if one knows that > > > > " [ f1(-1,I)>0 and f1(1,I)<0 and f2(I,-1)>0 and f2(I,1)<0 ] > > implies [ exists > > (x,y) in B , [ f1(x,y)=3D0 and f2(x,y)=3D0 ]]" > > > > can he show that > > > > [ " f1(-1,I)>=3D0 and f1(1,I)=3D<0 and f2(I,-1)>=3D0 and f2(I,1)=3D<0= > > ] implies [ exists > > (x,y) in B , [ f1(x,y)=3D0 and f2(x,y)=3D0 ]]" > > > > > > Alexandre Goldsztejn > > > > > > "DIAN,JIANWEI (HP-USA,ex1)" a =E9crit : > > > > > Hi Alexandre: > > > > > > > Do some one know if one formulation implies the other > > one, if they are > > > > equivalent, if one is a mistake ? > > > > > > Your formulations: > > > > > > 1. f(a)<0 and f(b)>0 implies exists x in [a,b], f(x)=3D0 ( > > > ]a,b[=3Dint([a,b])would be more precise ) > > > > > > 2. f(a)<=3D0 and f(b)>=3D0 implies exists x in [a,b], f(x)=3D0= > > > > > > If a=3Db, then 1. is meaningless, but 2. still holds. Assume > > a > > them is a mistake, and any one of the two implies the > > other. We assume a > > below. > > > > > > *** 2. implies 1. - is obvious, since "f(a)<0 and f(b)>0" > > satisfies "f(a)<=3D0 > > > and f(b)>=3D0." > > > > > > *** 1. implies 2. - suppose 1. is true. Then, if f(a)=3D0 or > > f(b)=3D0, the > > > statement is automatically true; if not, which implies > > "f(a)<0 and f(b)>0," > > > then, by 1., 2. is true. > > > > > > By the way, you are right, replacing [a, b] by ]a,b[ in 1. > > will be more > > > precise (assuming a > interpret "in". Some > > > people could argue that "x in [a, b]" means "x in the > > interior of [a, b]." > > > If that's the case, then 2. will have problems. Anyway, > > this is only a > > > terminology issue.) > > > > > > Best regards. > > > > > > Jianwei > > > > > > ------------------------------- > > > Jianwei Dian, Ph.D. > > > Mathematical Software Group > > > > > > Hewlett-Packard Company > > > 3000 Waterview Parkway > > > Richardson, TX 75080 > > > USA > > > > > > Tel: 972-497-3057 > > > Fax: 972-497-4933 > > > E-mail: jianwei.dian [at] hp [dot] com > > > ------------------------------- > > > > > > > > > > -----Original Message----- > > > > From: alexandre goldsztejn > > > > [mailto:alexandre.goldsztejn [at] fr [dot] thalesgroup.com] > > > > Sent: Wednesday, September 10, 2003 2:45 AM > > > > To: reliable_computing [at] interval [dot] louisiana.edu > > > > Cc: Alexandre Goldsztejn > > > > Subject: question about Miranda theorem... > > > > > > > > > > > > Dear all, > > > > > > > > I found formulation of Miranda theorem which are stated with > > > > inequalities and other with strict inequalities : In the > > 1 dimensional > > > > case, > > > > > > > > f(a)?0 and f(b)>0 implies exists x in [a,b], f(x)=3D0 ( > > > > ]a,b[=3Dint([a,b]) > > > > would be more precise ) > > > > or > > > > f(a)=3D?0 and f(b)>=3D0 implies exists x in [a,b], f(x)=3D0 > > > > > > > > Do some one know if one formulation implies the other > > one, if they are > > > > equivalent, if one is a mistake ? > > > > > > > > Thank you in advance, > > > > Regards > > > > Alexandre Goldsztejn. > > > > > > --------------C88AA2E19D23E98D14D74A2D Content-Type: application/pdf; name="vrahatis--a short proof of Miranda.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="vrahatis--a short proof of Miranda.pdf" JVBERi0xLjMNJeLjz9MNCjEzIDAgb2JqDTw8IA0vTGluZWFyaXplZCAxIA0vTyAxNSANL0gg WyA1ODEgMTY3IF0gDS9MIDIyNzc3MCANL0UgODYzNTAgDS9OIDMgDS9UIDIyNzM5MiANPj4g DWVuZG9iag0gICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAg ICAgICAgICAgICB4cmVmDTEzIDkgDTAwMDAwMDAwMTYgMDAwMDAgbg0KMDAwMDAwMDUyNiAw 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11:18:47 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8AGIk413044 for reliable_computing-outgoing; Wed, 10 Sep 2003 11:18:46 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8AGIVI13035 for ; Wed, 10 Sep 2003 11:18:32 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8AGIOY18960; Wed, 10 Sep 2003 10:18:24 -0600 (MDT) Message-Id: <200309101618.h8AGIOY18960 [at] cs [dot] utep.edu> Date: Wed, 10 Sep 2003 10:18:23 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Computability and Complexity in Analysis CCA: report To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Cc: Vasco.Brattka@FernUni-Hagen.de MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: i0BR2i4fL53Pk8WolJ2BeQ== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Computability and Complexity in Analysis CCA (a view from interval computations) On August 28-30, 2003, an International Conference on Computability and Complexity in Analysis (CCA) was held in Cincinnati, Ohio. This was the ninth meeting since CCA meetings started in 1995, and the first in the USA. From the viewpoint of interval computations, what are the main problems in CCA? In applications of interval computations, we start with the information currently available about a physical object. * If an object is characterized by a finite set of parameters, then this information usually consists of intervals containing possible values of these parameters. * If an object is characterized by a function f(x) (e.g., an input-output characteristic), then this information consists of intervals containing possible values of f(xi) for some inputs xi and/or possible values of the derivative f'(xi), of integral characteristics, etc. Based on this information, we estimate other desired characteristics of this object; to be more precise, we compute intervals that contain the values of these desired characteristics. This is an important practical problem. However, from the practical viewpoint, it is important to know not only how closely we reconstructed the desired numerical characteristics of an object, but also how closely we reconstructed the object itself. For example, we may be interested in how close (in some appropriate metric, e.g., L2), we can reconstruct the input-output function f(x); in geometric problems, we may want to know how closely (e.g., in Hausdorff metric) we can reconstruct a set S that describes the shape of a physical object, etc. In different problems, we may need different metrics (and, correspondingly, different classes of objects). For example, an input-output characteristic of an unknown device is usually described by a continuous (even smooth) function, but a probability density function (describing an unknown probability distribution) is often not continuous, only measurable. Many such problems have been effectively solved by using interval-related techniques. These problems are usually difficult, and one of the main difficulties is that for every new type of object (measurable function, set, etc.), it is necessary (and difficult) to describe the corresponding analogue of an interval. It is desirable to have a general theory that would guide us in designing such analogues. Designing such a theory is one of the main objectives of CCA. The situation is somewhat similar to interval analysis itself: one of the main objectives of interval analysis is to provide guaranteed estimates for the results of applying different numerical algorithms to data known with interval uncertainty. For individual algorithms, such estimates were known way before interval analysis, but the main problem was that before interval analysis, with every new algorithm, it was necessary to design new techniques for providing such estimates. Interval analysis provides a general paradigm that enables us to handle different algorithms. Similarly, CCA provides a general paradigm that enables us to handle different objects (function, sets, etc.). One of the main objectives of CCA research is to analyze the computability and complexity of the corresponding computational problems; e.g., in the above shape reconstruction problem, can we algorithmically reconstruct the shape with a given accuracy? how long will it take to compute the reconstructed shape? An additional important aspect of CCA research is related to the following. As we have mentioned, in interval computations, traditionally, we deal with situations when we have some information about a physical object. Correspondingly, the complexity analysis of interval computation problems usually describes how difficult it is, given this information, to produce the resulting (interval) estimates. However, the information about an object rarely comes in one piece: we constantly get new information. As a result, when we, e.g., have interval values of the object's parameters, we do not simply have these intervals, we often also have the wider intervals (corresponding to previous, less accurate measurements), and we have the estimates produced by using these previous measurement results. The existence of these previous estimates can make the computational problem easier -- it is often easier to improve an existing approximate estimate than to compute a new accurate estimate "from scratch". As a result, when analyzing computational complexity, CCA approach uses, as a main object, not, e.g., a single interval, but a (potentially infinite) sequence of narrowing intervals (or other uncertainty sets). Yet another important aspect of CCA research is the desire to have not only algorithms validated, but also to guarantee that the programs implementing these algorithms are actually "validated" implementations of these algorithms. To validate a program, i.e., to prove its correctness against given specifications, we must have a formal description of what the instructions of the corresponding programming language do, i.e., we must have a semantic of this programming language. For programs using highly complex objects, the most widely used semantics is a semantics of domains proposed by D. Scott. To expedite the program validation, it is therefore desirable to formulate the CCA formalization of higher-order complex mathematical objects in the language of domains or to formalize it similarly. Talks presented at the conference reflected all these aspects of CCA. A special Taft lecture was delivered by Klaus Weihrauch, founder of this conference series and a recognized leader of the CCA community. In this lecture, he provided a general introduction to the problems, and an overview of main results. Most of the technical talks dealt with computability and complexity of computational problems related to specific complex objects. Several talks dealt with, in effect, extending validated real-number computations beyond traditional interval approach. For example, it is a known fact that, based on two numbers a and b known with interval uncertainty, we can only detect (sometimes) that a and b are different, but we can never be sure that a = b. Moreover, it can be proven that no algorithm can, given two computable numbers a and b, decide whether a = b or not. On the other hand, many numerical algorithms require that we check whether a = b or whether a < b (another algorithmically undecidable problem for computable real numbers). Peter Hertling (Duisburg, Germany) analyzed whether a given algorithm of this type can be modified into an implementable one (that does not require such checks) or whether, for the given problem, such checks are inevitable -- and if they are inevitable, how many different comparisons a = b do we need? For many problems, he gets the exact number of required comparisons. Since each unavoidable comparison represents, in effect, a discontinuity of the resulting function -- a topologically invariant characteristic -- Hertling calls this number a topological complexity of the problem. Three talks dealt with real numbers that are not computable in the usual sense (i.e., there is no algorithm that, given k, returns the value approximating this number with an accuracy 1/k). Such numbers are often physically meaningful. * For example, the maximum value max f(x) of a field is not always algorithmically computable, it can sometimes only approximable "from below". * In optimization problems, e.g., in a zero-sum game, when for each action x of the 1st player and for each action y of the second player, we know the result f(x,y), a natural selection of x is to maximize a guaranteed gain min_y f(x,y). When the corresponding function f(x,y) is difficult to optimize, the resulting value max_x min_y f(x,y) may be approximable neither from above nor from below. Such non-computable numbers, as represented by algorithmic (but not algorithmically convergent) sequences of rational approximations, were analyzed by Rodney G. Downey (Wellington, New Zealand), Gouhua Wu (Wellington, New Zealand), Xizhong Zheng (Cottbus, Germany) and Robert Rettinger (Hagen, Germany). Three talks described computations with functions. Douglas Cenzer (Gainesville, Florida) and Jeffrey B. Remmel (San Diego, California) analyzed the algorithmic complexity of testing differentiability (local and global) and of computing the derivative of computable functions. This is a very important area of research since, as Myhill proved in the 1970s, the derivative f'(x) of a computable function f(x) is not necessarily computable again. Daren Kunkle (Hagen, Germany) described algorithms for handling constructive integrable functions, and Vasco Brattka (Hagen, Germany) described algorithms for handling effectively Borel measurable functions. Four talks handled computing with sets. Martin Ziegler (Paderborn, Germany) analyzed which of several possible constructive analogues of regular sets make standard set operations -- such as union and intersection -- algorithmic. Arthur W. Chou (Worcester, Massachusetts) and Ker-I Ko (Stony Brook, New York) analyzed the computational complexity of the problem of finding the shortest path between the two points within a given planar set. Marian B. Pour-El (Minneapolis, Minnesota) and Ning Zhong (Cincinnati, Ohio) analyzed, in a contributed paper, how the computability of a set in Euclidean space depends on the regularity and computability of its boundary. Armin Hemmerling (Greifswald, Germany) described an effective analogue of Borel hierarchy for sets, and showed how this hierarchy looks like in Euclidean spaces. Three talks handled general problems of computability in constructively defined metric spaces, be it spaces of numbers, spaces of functions, or spaces of sets. Andrej Bauer (Ljubljana, Slovenia) and Alex Simpson (Edinburgh, Scotland) considered embeddings of Baire space in certain metric spaces in order to generalize earlier results which have been obtained for real numbers or other concrete spaces. In particular, there results show that the computability notions introduced by Banach and Mazur, on the one hand, and of Markov's school, on the other hand, are distinct for a large class of spaces. Finally, Iraj Kalantari (Macomb, Illinois) provided a constructive analogue of the important notions of nowhere dense sets and sets of first Baire category and he applied these notions in order to improve the understanding of the difference between computability in the Markov's approach and more recent approaches. Metric spaces describe almost all complex objects, but there are interesting objects that do not fit into this general paradigm. Specifically, in his talk, Douglas S. Bridges (Christchurch, New Zealand) analyzed algorithms that take, as input, an ordering relation, i.e., in practical terms, yes-no answers on whether a certain "commodity bundle" a is preferable to a commodity bundle b. In mathematical economics, such preferences are translated into numerical values of the corresponding utilities. The corresponding translations were, however, not validated. Bridges was the first to provide validated algorithms for such translation. This topic still has many challenging open problems. Two talks, in addition to describing algorithms and related proofs, described software packages implementing these algorithms: Abbas Edalat (London, UK) and Dirk Pattinson (Muenchen, Germany) applied domain ideas to design interval-based software that uses Picard iterations to solve ODEs. Branimir Lambov (Aarhus, Denmark) described a package that, in effect, uses Rump's version of interval arithmetic -- in which each interval X is represented by its midpoint x and its radius d, with traditional arithmetic on midpoints -- to describe operations both on intervals and on functions. At this stage, these packages mainly provide a proof of concept, by showing that the new algorithms do indeed run in reasonable time. This fact makes us hope that eventually, these algorithms will be used to improve and enrich the existing interval software. The computability and complexity results may have sometimes sounded depressing: Both in theory and in practice, computing with functions requires much more computation time than computing with numbers, and computing with operators requires even more time. As a result, many such computations become not practically feasible. In many practical situations, it is possible to speed up computations if we use Monte-Carlo simulations. Researchers interested in validated computation results used to have a strong resistance to such methods: these methods guarantee that the results are good "on average" but usually provide no guarantee about the quality of any individual computation. This resistance has somewhat melted in the 1970s when research of G. Chaitin, R. Solomonoff, A. Kolmogorov, and P. Martin-Lof resulted in a formal definition of when an individual sequence (e.g., of 0s and 1s) is random. The resulting Algorithmic Information Theory (also known as Kolmogorov Complexity Theory) enables us to guarantee the computation results based on the individual use of a Random Number Generator (RNG) -- provided, of course, that it is real (physical) RNG, based on a truly random process, and not an algorithmic pseudo-RNG. Several related papers were presented at this conference. Christian S. Calude (Auckland, New Zealand) and Ludwig Staiger (Halle, Germany) analyzed algorithmic (pseudo-RNG) sequences that possess important properties of random ones -- such as the property that every finite combination of Os and 1s occurs in this infinite sequence. Finally, Jack Lutz (Ames, Iowa) showed that, somewhat unexpectedly, random sequences can also help in clarifying the notions of dimension such as Hausdorff ("fractal") dimension. Probabilistic methods are not only a tool for solving deterministic problems. Indeed, in computability analysis, it is often assumed that our uncertainty, e.g., in knowing the value of a real number, can be described by an interval. In practice, in addition to knowing this interval, we often have some information about the probability of different values within this interval. In their talk, Vladik Kreinovich and Luc Longpre (El Paso, Texas) overviewed preliminary results on how to use this information in data processing, and formulated several related open problems. Most of the talks were tailored to traditional computers, but, not surprisingly for a conference that is interested in potential computability, several talks analyzed non-traditional computers as well. Specifically, Daniel Silva Graca (Faro, Portugal) analyzed computability via analog circuits, Elham Kashefi (Oxford, UK) described a version of domain theory oriented towards quantum computing, and V. Kreinovich and L. Longpre overviewed potential applications of quantum computers and computational schemes based on space-time curvature and acausal effects. Science fiction? maybe, but was not Turing's famous Turing machine paper science fiction when it first appeared in 1936? The conference was not only about technical results. A special meeting was devoted to 60th birthday of Professor Dr. Klaus Weihrauch, a recognized leader of CCA field. Boris Kushner (Johnstown, Pennsylvania) surveyed the history of constructive analysis in a special talk devoted to 100th anniversary of A. A. Markov Jr., one of the founders of this research direction. We also had a wonderful banquet, and we enjoyed an outdoor concert of the Cincinnati Symphony Orchestra in the splendid Botanical Gardens. The conference benefited from the generous support from the US National Science Foundation (NSF), Institute for Mathematics and Applications (IMA), Association for Symbolic Logic (ASL), the Ohio Board of Regents, Taft Memorial Foundation of the University of Cincinnati, and from several colleges and departments of the university. The next conference will be held on August 16-20, 2004, in Lutherstadt-Wittenberg, Germany. Lutherstadt is a place where Martin Luther pinned his famous theses to the church's door, challenging the foundations of his society -- an appropriate place for a meeting that is not afraid to challenge the foundations of modern computing. Everyone is welcome to come and participate in this challenge! Vasco Brattka and Vladik Kreinovich From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Sep 10 12:16:14 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8AHGEb13320 for reliable_computing-outgoing; Wed, 10 Sep 2003 12:16:14 -0500 (CDT) Received: from antivirus.uni-rostock.de (antivirus.uni-rostock.de [139.30.8.12]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8AHG8I13316 for ; Wed, 10 Sep 2003 12:16:08 -0500 (CDT) Received: from ANTIVIRUS ([139.30.8.6]) by antivirus.uni-rostock.de with Microsoft SMTPSVC(6.0.3790.0); Wed, 10 Sep 2003 19:16:02 +0200 Received: from mail.uni-rostock.de ([139.30.8.11]) by antivirus.uni-rostock.de with Microsoft SMTPSVC(6.0.3790.0); Wed, 10 Sep 2003 19:16:00 +0200 Received: from conversion-daemon.mail2.uni-rostock.de by mail2.uni-rostock.de (iPlanet Messaging Server 5.2 Patch 1 (built Aug 19 2002)) id <0HL000501CNVGX [at] mail [dot] uni-rostock.de> for reliable_computing [at] interval [dot] louisiana.edu; Wed, 10 Sep 2003 19:15:59 +0200 (MEST) Received: from uni-rostock.de (localhost [127.0.0.1]) by mail2.uni-rostock.de (iPlanet Messaging Server 5.2 Patch 1 (built Aug 19 2002)) with ESMTP id <0HL000KSFDANNH [at] mail [dot] uni-rostock.de> for reliable_computing [at] interval [dot] louisiana.edu; Wed, 10 Sep 2003 19:15:59 +0200 (MEST) Received: from [217.185.67.90] by mail2.uni-rostock.de (mshttpd); Wed, 10 Sep 2003 19:15:59 +0200 Date: Wed, 10 Sep 2003 19:15:59 +0200 From: Guenter Mayer Subject: Wtr: WG: question about Miranda theorem... To: reliable_computing [at] interval [dot] louisiana.edu Message-id: MIME-version: 1.0 X-Mailer: iPlanet Messenger Express 5.2 Patch 1 (built Aug 19 2002) Content-type: multipart/mixed; boundary="Boundary_(ID_3XELCTwl8tBcmz86MaXWzw)" Content-language: de X-Accept-Language: de X-OriginalArrivalTime: 10 Sep 2003 17:16:00.0077 (UTC) FILETIME=[348F47D0:01C377BF] Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. --Boundary_(ID_3XELCTwl8tBcmz86MaXWzw) Content-type: message/rfc822 Received: from [217.185.67.90] by mail2.uni-rostock.de (mshttpd); Wed, 10 Sep 2003 19:05:12 +0200 Date: Wed, 10 Sep 2003 19:05:12 +0200 From: Guenter Mayer Subject: WG: question about Miranda theorem... To: alexandre goldsztejn Message-id: MIME-version: 1.0 X-Mailer: iPlanet Messenger Express 5.2 Patch 1 (built Aug 19 2002) Content-type: text/plain; charset=us-ascii Content-language: de Content-transfer-encoding: 7BIT Content-disposition: inline X-Accept-Language: de Priority: normal Dear Alexandre, both formulations of Mirandas theorem are equivalent. In order to make this clear let me use the terminology 'strict Miranda conditions' if strict inequalities are used on the boundary of an interval vector [a] =([a]_i) (where no component [a]_i is degenerate) and 'weak Miranda conditions' if 'less/greater or equal' is allowed there. a) Let the theorem hold with weak Miranda conditions. If you have a function f which satisfies the strong Miranda conditions then it also satisfies the weak Miranda conditions. (So far the trivial part!) b) Now let Miranda's theorem hold with strict Miranda conditions and assume that you have a function f = (f_i) which satisfies only the weak Miranda conditions. Define the sequence (h_k) of vector valued functions h_k componentwise as follows: (h_k)_i (x) := f_i (x) - (x_i - mid([a]_i))/k, i=1,...,n, k=1,2,... (*) (or f_i(x) + (x_i - mid([a]_i))/k depending on what you assumed at the corresponding boundary) where mid([a]_i) is the midpoint of the interval component [a]_i . Then h_k satisfies the assumptions of Miranda's theorem with strict Miranda conditions and you end up with a zero x_k of h_k. Let k tend to infinity and take into account the compactness of [a]. Then you can guarantee a subsequence of x_k which is convergent to some element x* out of [a]. Plug the elements of this subsequence into (*) and remember h_k(x_k) = 0. Consider the limit there, and you are done, i.e., f(x*) = 0. I hope that I really understood your question. Best wishes, Guenter Mayer ----- Originalnachricht ----- Von: alexandre goldsztejn Datum: Mittwoch, September 10, 2003 9:45 am Betreff: question about Miranda theorem... > Dear all, > > I found formulation of Miranda theorem which are stated with > inequalities and other with strict inequalities : In the 1 dimensional > case, > > f(a)?0 and f(b)>0 implies exists x in [a,b], f(x)=0 ( > ]a,b[=int([a,b])would be more precise ) > or > f(a)=?0 and f(b)>=0 implies exists x in [a,b], f(x)=0 > > Do some one know if one formulation implies the other one, if they are > equivalent, if one is a mistake ? > > Thank you in advance, > Regards > Alexandre Goldsztejn. > > --Boundary_(ID_3XELCTwl8tBcmz86MaXWzw)-- From owner-reliable_computing [at] interval [dot] louisiana.edu Thu Sep 11 02:33:48 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8B7Xme14166 for reliable_computing-outgoing; Thu, 11 Sep 2003 02:33:48 -0500 (CDT) Received: from GWOUT.thalesgroup.com (gwout.thalesgroup.com [195.101.39.227]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8B7XYI14162 for ; Thu, 11 Sep 2003 02:33:41 -0500 (CDT) Received: from thalescan.corp.thales (200.3.2.3) by GWOUT.thalesgroup.com (NPlex 6.5.026) id 3F4C863C000D91CE for reliable_computing [at] interval [dot] louisiana.edu; Thu, 11 Sep 2003 09:36:15 +0200 Received: from tasplex.srv.cn.tasfr.thales ([194.151.12.2]) by thalescan with InterScan Messaging Security Suite; Thu, 11 Sep 2003 09:33:23 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by tasplex.srv.cn.tasfr.thales (NPlex 6.5.026) id 3F5F86CD00001CE5; Thu, 11 Sep 2003 09:36:49 +0200 Received: from mes1.rm.tasfr.thales (61.14.31.2) by mes1.rm.tasfr.thales (NPlex 6.5.026) id 3F5FBB6100000E9A; Thu, 11 Sep 2003 09:30:58 +0200 Received: from 61.25.85.134 by mes1.rm.tasfr.thales (InterScan E-Mail VirusWall NT); Thu, 11 Sep 2003 09:30:50 +0200 Message-ID: <3F6024A9.ACC35382 [at] fr [dot] thalesgroup.com> Date: Thu, 11 Sep 2003 09:30:49 +0200 From: alexandre goldsztejn X-Mailer: Mozilla 4.75 [fr]C-CCK-MCD (WinNT; U) X-Accept-Language: fr-FR MIME-Version: 1.0 To: Guenter Mayer CC: "reliable_computing [at] interval [dot] louisiana.edu" Subject: Re: WG: question about Miranda theorem... References: Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h8B7XiI14163 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Guenter Mayer, not only did you understand my question, but you also gave a beautiful answer for the general case... Thank you very much. Alexandre Guenter Mayer a écrit : > Dear Alexandre, > > both formulations of Mirandas theorem are equivalent. In order to make this clear let me use the terminology 'strict Miranda conditions' if strict inequalities are used on the boundary of an interval vector [a] =([a]_i) (where no component [a]_i is degenerate) and 'weak Miranda conditions' if 'less/greater or equal' is allowed there. > > a) Let the theorem hold with weak Miranda conditions. If you have a function f which satisfies the strong Miranda conditions then it also satisfies the weak Miranda conditions. (So far the trivial part!) > > b) Now let Miranda's theorem hold with strict Miranda conditions and assume that you have a function f = (f_i) which satisfies only the weak Miranda conditions. Define the sequence (h_k) of vector valued functions h_k componentwise as follows: > (h_k)_i (x) := f_i (x) - (x_i - mid([a]_i))/k, i=1,...,n, k=1,2,... (*) > (or f_i(x) + (x_i - mid([a]_i))/k depending on what you assumed at the corresponding boundary) > where mid([a]_i) is the midpoint of the interval component [a]_i . Then h_k satisfies the assumptions of Miranda's theorem with strict Miranda conditions and you end up with a zero x_k of h_k. Let k tend to infinity and take into account the compactness of [a]. Then you can guarantee a subsequence of x_k which is convergent to some element x* out of [a]. Plug the elements of this subsequence into (*) and > remember h_k(x_k) = 0. Consider the limit there, and you are done, i.e., f(x*) = 0. > > I hope that I really understood your question. > > Best wishes, > > Guenter Mayer > > ----- Originalnachricht ----- > Von: alexandre goldsztejn > Datum: Mittwoch, September 10, 2003 9:45 am > Betreff: question about Miranda theorem... > > > Dear all, > > > > I found formulation of Miranda theorem which are stated with > > inequalities and other with strict inequalities : In the 1 dimensional > > case, > > > > f(a)?0 and f(b)>0 implies exists x in [a,b], f(x)=0 ( > > ]a,b[=int([a,b])would be more precise ) > > or > > f(a)=?0 and f(b)>=0 implies exists x in [a,b], f(x)=0 > > > > Do some one know if one formulation implies the other one, if they are > > equivalent, if one is a mistake ? > > > > Thank you in advance, > > Regards > > Alexandre Goldsztejn. > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Sat Sep 13 16:44:51 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8DLioq17770 for reliable_computing-outgoing; Sat, 13 Sep 2003 16:44:50 -0500 (CDT) Received: from imf18aec.mail.bellsouth.net (imf18aec.mail.bellsouth.net [205.152.59.66]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8DLihI17766 for ; Sat, 13 Sep 2003 16:44:44 -0500 (CDT) Received: from Inspiron-8200 ([68.155.35.100]) by imf18aec.mail.bellsouth.net (InterMail vM.5.01.05.27 201-253-122-126-127-20021220) with SMTP id <20030913214435.GBRT13779.imf18aec.mail.bellsouth.net@Inspiron-8200> for ; Sat, 13 Sep 2003 17:44:35 -0400 Message-Id: <2.2.32.20030913214429.00970f24 [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Sat, 13 Sep 2003 16:44:29 -0500 To: reliable_computing [at] interval [dot] louisiana.edu From: "R. Baker Kearfott" Subject: New version of GlobSol available Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Colleagues, I have made available a new version of GlobSol. In terms of functionality, this version is not so different from previous versions. However, I have corrected several bugs. I offer my thanks to Arnold Neumaier and Oleg Shcherbina for their testing work under the COCOS project. I have also discontinued support for some features. This includes files modified specifically for any systems other than Sun with the Sun compiler and Windows with the DEC/Compaq compiler (although it is not hard to modify the makefiles, etc.) I also no longer supply a separate routine for nonlinear systems, but have added a nonlinear systems switch to find_global_min (although I have not yet documented use of this switch). My discontinuance of some of the support (as mentioned above) is to free me to concentrate on additional algorithm development, to make significant inroads on solving classes of problems previously difficult for GlobSol. I'm now very optimistic about this :-) I append the release notes for the new release. To obtain the new release, go to http://interval.louisiana.edu/GlobSol/download_GlobSol.html Please inform me if you find errors in what is posted. Best regards, Baker =========================================================================== September 11, 2003 -- 1. -- Corrected setting INEQ_CERTAINLY_FEASIBLE to signal certainly feasible only when the inequality is strictly less than zero. If this isn't done, then there could be a problem when functions with portions of their domain outside the range are evaluated. 2. -- Removed a bug in precond/findopt.f90. In the interface blocks to MOVE_OFF_BOUNDS and MOVE_ONE_BY_ONE, VERIFIED was declared to have "INTENT(IN)" but should have been declared with "INTENT(OUT)". This bug only showed up when the Sun compiler was used with higher optimization levels. 3. -- Incorrect logic in bounddns.f90 was corrected. In particular, the lower bound was not considered under the following conditions: IF(BOUND_CONSTRAINT(LOWER,I).AND.DO_SIDE) THEN IF(NEQCNS_O.EQ.0) THEN DO_SIDE = (GRAD_VEC(I)%UPPER.GE.0D0) ELSE DO_SIDE = .TRUE. END IF ELSE DO_SIDE = .FALSE. END IF The above is only correct if there are also no inequality constraints. This has been corrected both for the lower branch and the upper branch. 4. -- Added matrixop/pseudo_inverse to the library. 5. -- Added iterate/data_fitting_generalized_Newton to the library, as well as builds in the makefiles for iterate/ test_df_gen_Newton and the batch file (GLOBDIR)/Taylor_run_dfgn.bat 6. -- Added iterate/continuation_dfgn to the library, as well as builds in the makefiles for iterate/test_continuation_dfgn and the batch file (GLOBDIR)/Taylor_continuation_dfgn.bat 7. -- Added find_critical_point and dependencies to the library, as well as a build for run_find_critical_point. However, this requires the IPOPT interface library and the IPOPT library, not presently distributed with GlobSol. Thus, this build in the makefile does not presently work. 8. -- Now, only two platforms are explicitly supported: Windows with the DEC (COMPAQ) compiler and Sun with the Sun compiler. (This is due to limited time available for development and testing. I prefer to improve the algorithms rather than to support many platforms. However, the makefiles can be ported by individual users without too much effort.) =========================================================================== --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Sep 14 12:37:50 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8EHbnC19253 for reliable_computing-outgoing; Sun, 14 Sep 2003 12:37:50 -0500 (CDT) Received: from zmit1.ippt.gov.pl (zmit1.ippt.gov.pl [148.81.53.8]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8EHbfI19249 for ; Sun, 14 Sep 2003 12:37:41 -0500 (CDT) Received: (from zkulpa@localhost) by zmit1.ippt.gov.pl (8.8.5/8.7.3-zmit) id TAA05282; Sun, 14 Sep 2003 19:35:26 +0200 (MET DST) Date: Sun, 14 Sep 2003 19:35:26 +0200 (MET DST) From: Zenon Kulpa Message-Id: <200309141735.TAA05282 [at] zmit1 [dot] ippt.gov.pl> To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Subject: Re: [Fwd: Interval Arithmetic - Point Arithmetic Scoping]] Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 8 22:55:35 2003 > From: "Ray Moore" > > Dear John and all, > > The paper shows that considerable thought has gone into its writing. > > I would only quibble with one part. On page 4, in paragraph 11), about > solving problems involving ranges that are large . ., > the paper states ". . .it is possible to use point values to represent top > and bottom of the range and do all the computations for each case.. . ." > > That only works with point method if all the computed quantities are > monotonic with respect to all the input quantities, which will almost > NEVER happen. > Exactly. What is annoying is that the wrong solution of computing with endpoints only seems quite widespread, even within interval community, as I have observed several times. Time to launch a Great Reorientation Campaign within computer computation/interval community? -- Zenon Kulpa From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Sep 14 20:06:28 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8F16SI19583 for reliable_computing-outgoing; Sun, 14 Sep 2003 20:06:28 -0500 (CDT) Received: from pkrisc.cc.ukm.my (pkrisc.cc.ukm.my [202.185.48.7]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8F16MI19579 for ; Sun, 14 Sep 2003 20:06:22 -0500 (CDT) Message-Id: <5.1.0.14.0.20030915080345.0200e1f0 [at] pkrisc [dot] cc.ukm.my> Date: Mon, 15 Sep 2003 08:10:18 +0800 To: reliable_computing [at] interval [dot] louisiana.edu From: Ishak Hashim Subject: An application of interval analysis Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii"; format=flowed Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear interval analysis researchers, I've been working on thermal convection problems for quite some time now. I also have some background on interval analysis. I just want to share a paper on fluid mechanics which uses interval analysis to provide a proof that the critical wave number for the planar Benard problem is unique. see J.-H Jeng and B. Hassard. 1999. Int. J. Non-linear Mech. 34: 221-229. Ishak Hashim (Assoc. Prof. Dr) Pusat Pengajian Sains Matematik Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor MALAYSIA Tel: 03-8921 5758 (O) Fax: 03-8925 4519 http://www.ukm.my/ppsmfst http://pkukmweb.ukm.my/~pmath/index.html From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 15 07:02:59 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8FC2wB20512 for reliable_computing-outgoing; Mon, 15 Sep 2003 07:02:58 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8FC2tn20506 for reliable_computing [at] interval [dot] louisiana.edu; Mon, 15 Sep 2003 07:02:55 -0500 (CDT) Received: from smtp4.poczta.onet.pl (smtp4.poczta.onet.pl [213.180.130.28]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8EIOMI19378 for ; Sun, 14 Sep 2003 13:24:23 -0500 (CDT) Received: from bagend.mat.univie.ac.at ([131.130.16.106]:37906 "EHLO ap") by ps4.test.onet.pl with ESMTP id ; Sun, 14 Sep 2003 20:23:17 +0200 From: "Andrzej Pownuk" To: , Subject: RE: [Fwd: Interval Arithmetic - Point Arithmetic Scoping] Date: Sun, 14 Sep 2003 20:23:16 +0200 Message-ID: <001b01c37aed$44c64c30$1000a8c0@ap> MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit X-Priority: 3 (Normal) X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook, Build 10.0.2616 X-MIMEOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Importance: Normal Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Dr. Kulpa and other members of this group, I have been working on modeling of uncertainty in computational mechanics. I know that there are many different methods of solution of equations with interval parameters. However, I don't know ANY efficient method of solution of such equation, which gives the results with guaranteed accuracy. There are only some quite uninteresting (to me) special cases. I know that such methods are very interesting from mathematical point of view. However in engineering applications, I need only sufficiently good solution. Some methods which are based on endpoints give very good (but approximate) results in some class of engineering problems. Finite element method gives also only approximate solution and now this is one of the most important engineering tools. At this moment I have the following choice: 1) work on pure academic examples by using current methods, 2) use some approximate methods and try to solve real world problems. I choose the second option and I apologize to all people who are disappointed because of that. Regards, Andrzej Pownuk -------------------------------------- Ph.D., research associate at: Chair of Theoretical Mechanics Faculty of Civil Engineering Silesian University of Technology URL: http://zeus.polsl.gliwice.pl/~pownuk E-mail: pownuk [at] zeus [dot] polsl.gliwice.pl -------------------------------------- > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 8 > > 22:55:35 > 2003 > > From: "Ray Moore" > > > > Dear John and all, > > > > The paper shows that considerable thought has gone into its writing. > > > > I would only quibble with one part. On page 4, in paragraph 11), > > about solving problems involving ranges that are large . ., the > > paper states ". . .it is possible to use point values to represent > top > > and bottom of the range and do all the computations for each case.. > > . ." > > > > That only works with point method if all the computed quantities are > > monotonic with respect to all the input quantities, which will > > almost NEVER happen. > > > Exactly. What is annoying is that the wrong solution of computing with > endpoints only seems quite widespread, even within interval community, > as I have observed several times. Time to launch a Great Reorientation > Campaign within computer computation/interval community? > > -- Zenon Kulpa From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 15 07:03:16 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8FC3Gj20540 for reliable_computing-outgoing; Mon, 15 Sep 2003 07:03:16 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8FC38K20531 for reliable_computing [at] interval [dot] louisiana.edu; Mon, 15 Sep 2003 07:03:09 -0500 (CDT) Received: from mbox1.ntu.edu.sg (mbox1.ntu.edu.sg [155.69.5.171]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8F906I20071 for ; Mon, 15 Sep 2003 04:00:07 -0500 (CDT) Received: from mail01.student.main.ntu.edu.sg ([155.69.5.165]) by mbox1.ntu.edu.sg with Microsoft SMTPSVC(5.0.2195.5576); Mon, 15 Sep 2003 16:57:42 +0800 Content-class: urn:content-classes:message MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Subject: Updations in Profil / BIAS X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0 Date: Mon, 15 Sep 2003 16:57:27 +0800 Message-ID: <34C4FA35021357469685D8102806A1C017F7F2 [at] mail01 [dot] student.main.ntu.edu.sg> X-MS-Has-Attach: X-MS-TNEF-Correlator: Thread-Topic: Updations in Profil / BIAS Thread-Index: AcNfezGSAzZyV7v7SHWrlx3Xp65aGgb0RpRz From: "#PEDAMALLU CHANDRA SEKHAR#" To: "Vladik Kreinovich" , , X-OriginalArrivalTime: 15 Sep 2003 08:57:42.0731 (UTC) FILETIME=[6C6B11B0:01C37B67] Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h8F908I20072 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Hi, I would like introduce myself as, Pedamallu.ChandraSekhar, Research Scholar, Nanyang Technological University, Singapore working in the area of constrained optimization using interval analysis and fuzzy logic under the supervision of Dr. Linet Ozdamar (Associate Professor). We meet with a problem in Profil / Bias, when we tried to generate the intervals for ArcCosine function. And the brief details are given as follows: Description of the Problem: *********************** Profil / Bias is generating misleading intervals for the ArcCosine function I would like to demonstrate the same by using the following example : ******************************************************************** INTERVAL iv=ArcCos(Hull(0.5, 1.0)) Currently, Profil / Bias is generating an interval iv=[0.5235987755982987, 1.57077963267948977]. But the actual interval should be [0, 1.047197551]. ROOT CAUSE FOR THE PROBLEM: *************************** The root cause lies in the BIAS part of the Package. The source file (*.c) under Bias, which is generating this misleading results is BiasF.C, and the function is VOID BiasArcCos (BIASINTERVAL & R, const BIASINTERVAL & X). The following is the function currently, Profil/ Bias is having VOID BiasArcCos (BIASINTERVAL & R, const BIASINTERVAL & X) /********************************************************************** * R = ArcCos (X) */ { REAL x_inf, x_sup; x_inf = BiasInf (X); x_sup = BiasSup (X); if ((x_inf < -1.0) || (x_sup > 1.0)) _BiasError ("ArcCos argument out of range"); x_inf = asin (x_inf); ---> Problem is because of this line x_sup = asin (x_sup);---> Problem is because of this line x_inf = RoundDown (x_inf); x_sup = RoundUp (x_sup); BiasHullRR (R, x_inf, x_sup); } PATCH FOR ELIMINATING THE PROBLEM: ********************************** Replace the asin with acos function name i.e.replace the x_inf = asin (x_inf); with x_inf = acos (x_inf); and similarly replace the x_sup = asin (x_sup); with x_sup = acos (x_sup); After the patch is applied, profil / bias is generating the interval iv as [4.9406564584124654E-324, 1.0471975511965974], which correct. Thanking you, With Sincerely, Pedamallu. Chandra Sekhar Research Scholar Nanyang Technological University Singapore Email: pcs_murali [at] yahoo [dot] com or pcs_murali [at] pmail [dot] ntu.edu.sg From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 15 07:12:50 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8FCCnM20747 for reliable_computing-outgoing; Mon, 15 Sep 2003 07:12:49 -0500 (CDT) Received: from marnier.ucs.louisiana.edu (root [at] marnier [dot] ucs.louisiana.edu [130.70.132.233]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8FCCiI20743 for ; Mon, 15 Sep 2003 07:12:44 -0500 (CDT) Received: from liberty (liberty.louisiana.edu [130.70.46.171]) by marnier.ucs.louisiana.edu (8.11.3/8.11.3/ull-ucs-mx-host_1.6) with SMTP id h8FCChR28128 for ; Mon, 15 Sep 2003 07:12:43 -0500 (CDT) Message-Id: <2.2.32.20030915121604.0163ed58 [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Mon, 15 Sep 2003 07:16:04 -0500 To: reliable_computing [at] interval [dot] louisiana.edu From: "R. Baker Kearfott" Subject: New version of GlobSol available (RESEND) Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Colleagues, I am resending this since there appeared to be a problem the first time. My apologies if you receive this twice. Best regards, Baker >Date: Sat, 13 Sep 2003 16:44:29 -0500 >To: reliable_computing >From: "R. Baker Kearfott" >Subject: New version of GlobSol available > >Colleagues, > >I have made available a new version of GlobSol. In terms of functionality, >this version is not so different from previous versions. However, I >have corrected several bugs. I offer my thanks to Arnold Neumaier >and Oleg Shcherbina for their testing work under the COCOS project. > >I have also discontinued support for some features. This includes >files modified specifically for any systems other than Sun with >the Sun compiler and Windows with the DEC/Compaq compiler (although >it is not hard to modify the makefiles, etc.) I also no longer >supply a separate routine for nonlinear systems, but have added >a nonlinear systems switch to find_global_min (although I have >not yet documented use of this switch). > >My discontinuance of some of the support (as mentioned above) is >to free me to concentrate on additional algorithm development, >to make significant inroads on solving classes of problems >previously difficult for GlobSol. I'm now very optimistic about >this :-) > >I append the release notes for the new release. > >To obtain the new release, go to > > http://interval.louisiana.edu/GlobSol/download_GlobSol.html > >Please inform me if you find errors in what is posted. > >Best regards, > >Baker > >=========================================================================== > >September 11, 2003 -- > >1. -- Corrected setting INEQ_CERTAINLY_FEASIBLE to signal > certainly feasible only when the inequality is > strictly less than zero. If this isn't done, then > there could be a problem when functions with > portions of their domain outside the range are > evaluated. > > >2. -- Removed a bug in precond/findopt.f90. In the interface > blocks to MOVE_OFF_BOUNDS and MOVE_ONE_BY_ONE, VERIFIED was > declared to have "INTENT(IN)" but should have been declared > with "INTENT(OUT)". This bug only showed up when the Sun > compiler was used with higher optimization levels. > >3. -- Incorrect logic in bounddns.f90 was corrected. > In particular, the lower bound was not considered > under the following conditions: > IF(BOUND_CONSTRAINT(LOWER,I).AND.DO_SIDE) THEN > IF(NEQCNS_O.EQ.0) THEN > DO_SIDE = (GRAD_VEC(I)%UPPER.GE.0D0) > ELSE > DO_SIDE = .TRUE. > END IF > ELSE > DO_SIDE = .FALSE. > END IF > The above is only correct if there are also > no inequality constraints. This has been > corrected both for the lower branch and the > upper branch. > >4. -- Added matrixop/pseudo_inverse to the library. > >5. -- Added iterate/data_fitting_generalized_Newton to > the library, as well as builds in the makefiles for > iterate/ test_df_gen_Newton and the batch file > (GLOBDIR)/Taylor_run_dfgn.bat > > >6. -- Added iterate/continuation_dfgn to the library, as well as > builds in the makefiles for > iterate/test_continuation_dfgn and the batch file > (GLOBDIR)/Taylor_continuation_dfgn.bat > >7. -- Added find_critical_point and dependencies to the > library, as well as a build for run_find_critical_point. > However, this requires the IPOPT interface library > and the IPOPT library, not presently distributed > with GlobSol. Thus, this build in the makefile does > not presently work. > >8. -- Now, only two platforms are explicitly supported: > Windows with the DEC (COMPAQ) compiler and > Sun with the Sun compiler. (This is due to limited > time available for development and testing. I prefer > to improve the algorithms rather than to support > many platforms. However, the makefiles can be > ported by individual users without too much > effort.) > >=========================================================================== > --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 15 08:30:18 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8FDUHh20980 for reliable_computing-outgoing; Mon, 15 Sep 2003 08:30:17 -0500 (CDT) Received: from zmit1.ippt.gov.pl (zmit1.ippt.gov.pl [148.81.53.8]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8FDU9I20976 for ; Mon, 15 Sep 2003 08:30:10 -0500 (CDT) Received: (from zkulpa@localhost) by zmit1.ippt.gov.pl (8.8.5/8.7.3-zmit) id PAA05816; Mon, 15 Sep 2003 15:27:54 +0200 (MET DST) Date: Mon, 15 Sep 2003 15:27:54 +0200 (MET DST) From: Zenon Kulpa Message-Id: <200309151327.PAA05816 [at] zmit1 [dot] ippt.gov.pl> To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Subject: RE: [Fwd: Interval Arithmetic - Point Arithmetic Scoping] Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 15 14:02:35 2003 > From: "Andrzej Pownuk" > > Dear Dr. Kulpa and other members of this group, > > I have been working on modeling of uncertainty > in computational mechanics. > I know that there are many different methods of solution > of equations with interval parameters. > > However, I don't know ANY efficient method of solution of such > equation, which gives the results with guaranteed accuracy. > There are only some quite uninteresting (to me) special cases. > > I know that such methods are very interesting > from mathematical point of view. > > However in engineering applications, > I need only sufficiently good solution. > > Some methods which are based on endpoints give very good > (but approximate) results > in some class of engineering problems. > Finite element method gives also only approximate solution > and now this is one of the most important engineering tools. > > At this moment I have the following choice: > 1) work on pure academic examples by using current methods, > 2) use some approximate methods and try to solve real world > problems. I choose the second option > and I apologize to all people > who are disappointed because of that. > There is no need to apologize. Developing and using approximate methods is certainly no sin. Provided they are called as such and the approximation error is reasonably estimated. However, often the endpoint calculation method is, wrongly, presented as an interval method with associated suggestion of guaranteed accuracy. I am not claiming that concerning your work, for a simple cause that I have not, for some time, have an occassion to read some, but I have recently have such experiences with other authors. Therefore, when someone uses the endpoint calculation method and decribes it in a publication, he/she should: - Refrain from calling the method an interval one, as it has little to do with proper interval calculation. - If the method is claimed or hinted to be accurate, or of guaranteed (interval) accuracy, he/she should provide a proof that the functions involved are monotonic within the ranges used in the method. In such a case, the method may be, with certain reservations, called "interval" anyway. - Otherwise, the method should be _explicitly_ called approximate, in the sense that the obtained interval range may not contain all the solutions and can contain also non-solutions (the latter feature usually shared with interval methods, unless an inner interval approximation is computed). Moreover, a method of estimating the approximation error should be provided, as with nonmonotonic functions the error can be arbitrarily large. Provided these precautions are observed, there is nothing wrong in principle with approximate methods. One may, of course, discuss and criticize their computational efficiency and judge their accuracy by checking whether the approximation error is reasonably (and provably!) near the true value or range. -- Zenon Kulpa From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 16 07:03:41 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8GC3en22291 for reliable_computing-outgoing; Tue, 16 Sep 2003 07:03:40 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8GC3Yt22285 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 16 Sep 2003 07:03:34 -0500 (CDT) Received: from lcyoung.math.wisc.edu (lcyoung.math.wisc.edu [144.92.166.90]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8FHfaI21290 for ; Mon, 15 Sep 2003 12:41:37 -0500 (CDT) Received: from ultra7.math.wisc.edu (ultra7.math.wisc.edu [144.92.166.188]) by lcyoung.math.wisc.edu (8.11.6p2/8.11.6) with ESMTP id h8FHdYs16181; Mon, 15 Sep 2003 12:39:35 -0500 (CDT) Date: Mon, 15 Sep 2003 12:39:34 -0500 (CDT) From: Hans Schneider To: NETS -- at-net , E-LETTER , Pradeep Misra , Shaun Fallat , "na.digest" , ipnet-digest [at] math [dot] msu.edu, Michael.Unser [at] epfl [dot] ch, SIAGLA-DIGEST , hjt [at] eos [dot] ncsu.edu, SMBnet [at] smb [dot] org, vkm [at] eedsp [dot] gatech.edu, reliable_computing [at] interval [dot] louisiana.edu Subject: LAA contents Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-UWMath-MailScanner: Found to be clean Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk * Linear Algebra and its Applications Volume 373, Pages 1-332 (1 November 2003) Combinatorial Matrix Theory Conference (Pohang, 2002) Pohang, South Korea, 14 January - 17 January 2002 Edited by S.-G. Hwang, A.R. Kraeuter, B.L. Shader and J.-Y. Shao http://www.sciencedirect.com/science/issue/5653-2003-996269999-452969 TABLE OF CONTENTS Special Issue on the Combinatorial Matrix Theory Conference, Pages 1-3 Suk-Geun HwangArnold R. KrauterBryan L. ShaderJia-Yu Shao A note on limit points for algebraic connectivity, Pages 5-11 Steve Kirkland Matrix completion problems for pairs of related classes of matrices, Pages 13-29 Leslie Hogben On graphs with algebraic connectivity equal to minimum edge density, Pages 31-50 Shaun M. Fallat, Steve Kirkland and Sukanta Pati Linear preservers and diagonal hypergraphs, Pages 51-65 Richard A. Brualdi A note on k-primitive directed graphs, Pages 67-74 LeRoy B. Beasley and Steve Kirkland The linear algebra of the k-Fibonacci matrix, Pages 75-87 Gwang-Yeon Lee and Jin-Soo Kim Matrices determined by a linear recurrence relation among entries, Pages 89-99 Gi-Sang Cheon, Suk-Geun Hwang, Seog-Hoon Rim and Seok-Zun Song Linear criteria for lifting automorphisms of elementary abelian regular coverings, Pages 101-119 Shao-Fei Du, Jin Ho Kwak and Ming-Yao Xu An approach to solving Ak=J-I, Pages 121-142 Yaokun Wu and Qiao Li Basic matrices, Pages 143-151 Miroslav Fiedler A lower bound on the maximum permanent in [Lambda]nk, Pages 153-167 Ian M. Wanless Generalized exponents of boolean matrices, Pages 169-182 Bolian Liu On k-hypertournament matrices, Pages 183-195 Youngmee Koh and Sangwook Ree Extremes of permanents of (0,1)-matrices, Pages 197-210 Seok-Zun Song, Suk-Geun Hwang, Seog-Hoon Rim and Gi-Sang Cheon Sparse orthogonal matrices, Pages 211-222 Gi-Sang Cheon, Suk-Geun Hwang, Seog-Hoon Rim, Bryan L. Shader and Seok-Zun Song Number of nonzero entries of S2NS matrices and matrices with signed generalized inverses, Pages 223-239 Jia-Yu Shao, Jin-Ling He and Hai-Ying Shan Which graphs are determined by their spectrum?, Pages 241-272 Edwin R. van Dam and Willem H. Haemers Asymptotic enumeration of 0-1 matrices with equal row sums and equal column sums, Pages 273-287 Brendan D. McKay and Xiaoji Wang Factorizations of matrices over semirings, Pages 289-296 Han Hyuk Cho and Suh-Ryung Kim The maximal determinant and subdeterminants of +/-1 matrices, Pages 297-310 Jennifer Seberry, Tianbing Xia, Christos Koukouvinos and Marilena Mitrouli Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars, Pages 311-330 Charles R. Johnson, Antonio Leal Duarte and Carlos M. Saiago Author index, Pages 331-332 Editorial board, Pages ii-iii From owner-reliable_computing [at] interval [dot] louisiana.edu Thu Sep 18 11:52:44 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8IGqiT25103 for reliable_computing-outgoing; Thu, 18 Sep 2003 11:52:44 -0500 (CDT) Received: from stevin.ruca.ua.ac.be (stevin.ruca.ua.ac.be [143.129.75.57]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8IGqaI25099 for ; Thu, 18 Sep 2003 11:52:37 -0500 (CDT) Received: by stevin.ruca.ua.ac.be (Postfix, from userid 507) id 3A5EE10CA3; Thu, 18 Sep 2003 18:54:02 +0200 (CEST) Received: from localhost (localhost [127.0.0.1]) by stevin.ruca.ua.ac.be (Postfix) with ESMTP id 2AB4B10A35C; Thu, 18 Sep 2003 18:54:02 +0200 (CEST) Date: Thu, 18 Sep 2003 18:54:02 +0200 (CEST) From: Annie Cuyt X-X-Sender: cuyt [at] stevin [dot] ruca.ua.ac.be To: reliable_computing [at] interval [dot] louisiana.edu Subject: Special Functions Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk We are a network of European research groups concentrating our efforts around the reliable (interval) implementation of a long list of special functions. The paper by Lozier and Olver that gives a review of implementations of special functions, does not mention a single implementation that is reliable in the sense that either truncation or round-off error analysis is included. We are looking for pointers to engineering or science problems that require the reliable (meaning including bounds) evaluation of special functions. We explicitly exclude the elementary functions, but focus on hypergeometric functions, exponential integrals, the error function etc. What interests us particularly are "real" applications that need interval evaluations and involve at least one special function. Many thanks in advance, Annie Cuyt. -----------------------------Prof. Dr. Annie CUYT---------------------------- RESEARCH DIRECTOR FWO Mathematics & Computer Science Tel (32)3/218.08.98 University of Antwerp (UIA) Fax (32)3/218.07.77 Middelheimlaan 1 Secr (32)3/218.09.00 B-2020 Antwerpen Email annie.cuyt [at] ua [dot] ac.be Belgium http://www.uia.ac.be/u/cant ------------------------------------------------------------------------------ From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Sep 19 15:27:17 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8JKRHa26675 for reliable_computing-outgoing; Fri, 19 Sep 2003 15:27:17 -0500 (CDT) Received: from ohsmtp03.ogw.rr.com (ohsmtp03.ogw.rr.com [65.24.7.38]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8JKR9S26671 for ; Fri, 19 Sep 2003 15:27:10 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp03.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8JKR3Ii012324 for ; Fri, 19 Sep 2003 16:27:04 -0400 (EDT) Message-ID: <002101c37eec$6877a900$f6ac1841@REM> From: "Ray Moore" To: Subject: Optimization by direct search Date: Fri, 19 Sep 2003 16:27:12 -0400 MIME-Version: 1.0 Content-Type: multipart/alternative; boundary="----=_NextPart_000_001E_01C37ECA.E14BCA40" X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. ------=_NextPart_000_001E_01C37ECA.E14BCA40 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable The September 2003 issue of SIAM Review features a lead survey paper by = Tamara G. Kolda, Robert Michael Lewis and Virginia Torczon on = "Optimization by Direct Search" about optimization methods that do not = explicitly use derivatives. It is a 97 page paper, but has no mention = whatever of interval methods. Why is that? Perhaps it is because the authors had not noticed such publications as 1) H. Ratschek and J. Rokne, New Computer Methods for Global = Optimization, Ellis Horwood and John Wiley (1988). 2) Ramon Moore, Eldon Hansen, and Anthony Leclerc, "Rigorous methods for = global optimization", in Recent Advances in Global Optimization, C. A. = Floudas and P. M. Pardalos (eds.), Princeton Series in Computer Science, = (1992), pp.321-342. 3) Dietmar Ratz, "Nonsmooth global optimization", in Perspectives on = Enclosure Methods, U. Kulisch, R. Lohner, and A. Facius (eds.), Springer = (2001), pp. 277-339. There are many others as well that could perhaps be suggested to the = authors of the SIAM Review paper.=20 best wishes to all, Ramon Moore ------=_NextPart_000_001E_01C37ECA.E14BCA40 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
The = September 2003 issue=20 of SIAM Review features a lead survey paper by Tamara G. Kolda, Robert = Michael=20 Lewis and Virginia Torczon on "Optimization by Direct Search" about = optimization=20 methods that do not explicitly use derivatives. It is a 97 page paper, = but has=20 no mention whatever of interval methods. Why is that?
 
Perhaps it is  because the authors = had not=20 noticed such publications as
 
1) H. Ratschek and J. Rokne, New = Computer=20 Methods for Global Optimization, Ellis Horwood and John Wiley=20 (1988).
 
2) Ramon Moore, Eldon Hansen, and = Anthony Leclerc,=20 "Rigorous methods for global optimization", in Recent Advances in = Global=20 Optimization, C. A. Floudas and P. M. Pardalos (eds.), Princeton = Series in=20 Computer Science, (1992), pp.321-342.
 
3) Dietmar Ratz, "Nonsmooth global = optimization",=20 in Perspectives on Enclosure Methods, U. Kulisch, R. Lohner, = and A.=20 Facius (eds.), Springer (2001), pp. 277-339.
 
There are many others as well that = could perhaps be=20 suggested to the authors of the SIAM Review paper.
 
best wishes to all,
 
Ramon Moore
------=_NextPart_000_001E_01C37ECA.E14BCA40-- From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Sep 19 15:55:14 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8JKtDg26821 for reliable_computing-outgoing; Fri, 19 Sep 2003 15:55:14 -0500 (CDT) Received: from imf25aec.mail.bellsouth.net (imf25aec.mail.bellsouth.net [205.152.59.73]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8JKt3S26817 for ; Fri, 19 Sep 2003 15:55:08 -0500 (CDT) Received: from Inspiron-8200 ([68.155.35.100]) by imf25aec.mail.bellsouth.net (InterMail vM.5.01.05.27 201-253-122-126-127-20021220) with SMTP id <20030919205443.RLNR10992.imf25aec.mail.bellsouth.net@Inspiron-8200>; Fri, 19 Sep 2003 16:54:43 -0400 Message-Id: <2.2.32.20030919205441.0099c624 [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Fri, 19 Sep 2003 15:54:41 -0500 To: "Ray Moore" , From: "R. Baker Kearfott" Subject: Re: Intervals, Optimization, and Publications Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Ray, Speaking of public press and intervals, examine (in three weeks) the article on intervals by Brian Hayes in "American Scientist." Shall I remind people then? At that time, the article should be posted at http://www.americanscientist.org/ Also, please stay tuned for bigger and better things in validated optimization. I'm extremely optimistic about this at this point, but it will take a few months for everything to come to light. Best regards, Baker At 04:27 PM 9/19/2003 -0400, Ray Moore wrote: >The September 2003 issue of SIAM Review features a lead survey paper by Tamara G. Kolda, Robert Michael Lewis and Virginia Torczon on "Optimization by Direct Search" about optimization methods that do not explicitly use derivatives. It is a 97 page paper, but has no mention whatever of interval methods. Why is that? > >Perhaps it is because the authors had not noticed such publications as > >1) H. Ratschek and J. Rokne, New Computer Methods for Global Optimization, Ellis Horwood and John Wiley (1988). > >2) Ramon Moore, Eldon Hansen, and Anthony Leclerc, "Rigorous methods for global optimization", in Recent Advances in Global Optimization, C. A. Floudas and P. M. Pardalos (eds.), Princeton Series in Computer Science, (1992), pp.321-342. > >3) Dietmar Ratz, "Nonsmooth global optimization", in Perspectives on Enclosure Methods, U. Kulisch, R. Lohner, and A. Facius (eds.), Springer (2001), pp. 277-339. > >There are many others as well that could perhaps be suggested to the authors of the SIAM Review paper. > >best wishes to all, > >Ramon Moore --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Sep 19 16:09:15 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8JL9FV26951 for reliable_computing-outgoing; Fri, 19 Sep 2003 16:09:15 -0500 (CDT) Received: from ms-smtp-03.rdc-kc.rr.com (ms-smtp-03.rdc-kc.rr.com [24.94.166.129]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8JL99S26947 for ; Fri, 19 Sep 2003 16:09:09 -0500 (CDT) Received: from taylor (CPE-65-29-183-103.wi.rr.com [65.29.183.103]) by ms-smtp-03.rdc-kc.rr.com (8.12.8p1/8.12.7) with ESMTP id h8JL8xrv026155; Fri, 19 Sep 2003 16:09:04 -0500 (CDT) Reply-To: From: "Dr. George Corliss" To: "'Ray Moore'" Cc: Subject: RE: Optimization by direct search Date: Fri, 19 Sep 2003 16:08:57 -0500 Message-ID: <000001c37ef2$412476c0$6401a8c0@taylor> MIME-Version: 1.0 Content-Type: multipart/alternative; boundary="----=_NextPart_000_0001_01C37EC8.584FF560" X-Priority: 3 (Normal) X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook, Build 10.0.4510 Importance: Normal In-Reply-To: <002101c37eec$6877a900$f6ac1841@REM> X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. ------=_NextPart_000_0001_01C37EC8.584FF560 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: quoted-printable Ray, =20 The picture may be worse than that, or it may be more subtle. =20 =20 I know authors Mike Lewis and Virginia Torczon fairly well. Each has heard me give talks on interval global optimization at least twice. I have visited Mike at NASA for a couple days, given a talk, and talked about where intervals might hit his work and that of his colleagues. So worse than "They don't know about intervals," it might be "They know about intervals and still did not make a connection." :-( =20 Guess I was not a convincing salesman. =20 On the other hand, they've been fighting to get this paper published for at least a half dozen years. The work is 10 years old, begun at Rice under John Dennis. It is quite controversial in the conventional optimization community. I suspect the length of the paper is a result of lengthy negotiations with multiple demanding referees. It might be the referees' fault that intervals don't appear. Intervals MIGHT have been there and been removed to save space to make room for material refuting the assertions of one referee or another. I suspect we have all written pages addressed to a single referee, perhaps the only person in the world concerned with that question, but whose approval was necessary for publication. Sometimes that's how papers get so long. =20 I understand your point. Mike and Virginia are good scientists. I'm sure they would welcome input, but I'd be slow with criticism. Besides, where they are just got hit by the hurricane this week. Dr. George F. Corliss Electrical and Computer Engineering Haggerty Engineering 296 Marquette University P.O. Box 1881 Milwaukee, WI 53201-1881 USA George.Corliss [at] Marquette [dot] edu or georgec [at] mscs [dot] mu.edu Office: 414-288-6599; Dept: 288-6820; Fax: 288-5579 =20 -----Original Message----- From: owner-reliable_computing [at] interval [dot] louisiana.edu [mailto:owner-reliable_computing [at] interval [dot] louisiana.edu] On Behalf Of Ray Moore Sent: Friday, September 19, 2003 3:27 PM To: reliable_computing [at] interval [dot] louisiana.edu Subject: Optimization by direct search The September 2003 issue of SIAM Review features a lead survey paper by Tamara G. Kolda, Robert Michael Lewis and Virginia Torczon on "Optimization by Direct Search" about optimization methods that do not explicitly use derivatives. It is a 97 page paper, but has no mention whatever of interval methods. Why is that? =20 Perhaps it is because the authors had not noticed such publications as =20 1) H. Ratschek and J. Rokne, New Computer Methods for Global Optimization, Ellis Horwood and John Wiley (1988). =20 2) Ramon Moore, Eldon Hansen, and Anthony Leclerc, "Rigorous methods for global optimization", in Recent Advances in Global Optimization, C. A. Floudas and P. M. Pardalos (eds.), Princeton Series in Computer Science, (1992), pp.321-342. =20 3) Dietmar Ratz, "Nonsmooth global optimization", in Perspectives on Enclosure Methods, U. Kulisch, R. Lohner, and A. Facius (eds.), Springer (2001), pp. 277-339. =20 There are many others as well that could perhaps be suggested to the authors of the SIAM Review paper.=20 =20 best wishes to all, =20 Ramon Moore ------=_NextPart_000_0001_01C37EC8.584FF560 Content-Type: text/html; charset="us-ascii" Content-Transfer-Encoding: quoted-printable Message
Ray,
 
The = picture may=20 be worse than that, or it may be more subtle.  =
 
I know = authors Mike=20 Lewis and Virginia Torczon fairly well.  Each has heard me give = talks on=20 interval global optimization at least twice.  I have visited Mike = at NASA=20 for a couple days, given a talk, and talked about where intervals might = hit his=20 work and that of his colleagues.  So worse than "They don't know = about=20 intervals," it might be "They know about intervals and still = did not=20 make a connection." :-(
 
Guess = I was not a=20 convincing salesman.
 
On the = other hand,=20 they've been fighting to get this paper published for at least a half = dozen=20 years.  The work is 10 years old, begun at Rice under John = Dennis.  It=20 is quite controversial in the conventional optimization community.  = I=20 suspect the length of the paper is a result of lengthy negotiations = with=20 multiple demanding referees.  It might be the referees' fault that=20 intervals don't appear.  Intervals MIGHT have been there and = been=20 removed to save space to make room for material refuting the assertions = of one=20 referee or another. I suspect we have all written pages addressed to a = single=20 referee, perhaps the only person in the world concerned with that = question, but=20 whose approval was necessary for publication.  Sometimes that's how = papers=20 get so long.
 
I = understand your=20 point.  Mike and Virginia are good scientists. I'm sure they would = welcome=20 input, but I'd be slow with criticism.  Besides, where they = are just=20 got hit by the hurricane this week.

Dr. George F. Corliss
Electrical and = Computer=20 Engineering
Haggerty Engineering 296
Marquette University
P.O. = Box=20 1881
Milwaukee, WI  53201-1881  USA
George.Corliss [at] Marquette [dot] edu= or=20 georgec [at] mscs [dot] mu.edu
Office: 414-288-6599;  Dept: 288-6820; Fax:=20 288-5579
 

-----Original Message-----
From:=20 owner-reliable_computing [at] interval [dot] louisiana.edu=20 [mailto:owner-reliable_computing [at] interval [dot] louisiana.edu] On Behalf = Of=20 Ray Moore
Sent: Friday, September 19, 2003 3:27 = PM
To:=20 reliable_computing [at] interval [dot] louisiana.edu
Subject: = Optimization by=20 direct search

The = September 2003 issue=20 of SIAM Review features a lead survey paper by Tamara G. Kolda, Robert = Michael=20 Lewis and Virginia Torczon on "Optimization by Direct Search" about=20 optimization methods that do not explicitly use derivatives. It is a = 97 page=20 paper, but has no mention whatever of interval methods. Why is=20 that?
 
Perhaps it is  because the = authors had not=20 noticed such publications as
 
1) H. Ratschek and J. Rokne, New = Computer=20 Methods for Global Optimization, Ellis Horwood and John Wiley=20 (1988).
 
2) Ramon Moore, Eldon Hansen, and = Anthony=20 Leclerc, "Rigorous methods for global optimization", in Recent = Advances in=20 Global Optimization, C. A. Floudas and P. M. Pardalos (eds.), = Princeton=20 Series in Computer Science, (1992), pp.321-342.
 
3) Dietmar Ratz, "Nonsmooth global = optimization",=20 in Perspectives on Enclosure Methods, U. Kulisch, R. Lohner, = and A.=20 Facius (eds.), Springer (2001), pp. 277-339.
 
There are many others as well that = could perhaps=20 be suggested to the authors of the SIAM Review paper.
 
best wishes to all,
 
Ramon = Moore
------=_NextPart_000_0001_01C37EC8.584FF560-- From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Sep 19 16:19:09 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8JLJ8o27071 for reliable_computing-outgoing; Fri, 19 Sep 2003 16:19:08 -0500 (CDT) Received: from ohsmtp03.ogw.rr.com (ohsmtp03.ogw.rr.com [65.24.7.38]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8JLJ3S27067 for ; Fri, 19 Sep 2003 16:19:03 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp03.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8JLJ1Ii018601; Fri, 19 Sep 2003 17:19:02 -0400 (EDT) Message-ID: <004101c37ef3$ab277b70$f6ac1841@REM> From: "Ray Moore" To: Cc: References: <000001c37ef2$412476c0$6401a8c0@taylor> Subject: Re: Optimization by direct search Date: Fri, 19 Sep 2003 17:19:10 -0400 MIME-Version: 1.0 Content-Type: multipart/alternative; boundary="----=_NextPart_000_003E_01C37ED2.23E889E0" X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. ------=_NextPart_000_003E_01C37ED2.23E889E0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable MessageGeorge and all, All I did was point out that there is no mention of intervals. Other = than that, I made no criticism. I do not know what it will take for = interval methods to be taken seriously by the "mainstream" optimization = community. It is discouraging that you had already pointed out the = relevance of interval methods to two of the authors of the SIAM Review = article. I understand your points about referees and all, but still . . = . I am sorry that anyone got hit by the hurricane. best regards, Ray ----- Original Message -----=20 From: Dr. George Corliss=20 To: 'Ray Moore'=20 Cc: reliable_computing [at] interval [dot] louisiana.edu=20 Sent: Friday, September 19, 2003 5:08 PM Subject: RE: Optimization by direct search Ray, The picture may be worse than that, or it may be more subtle. =20 I know authors Mike Lewis and Virginia Torczon fairly well. Each has = heard me give talks on interval global optimization at least twice. I = have visited Mike at NASA for a couple days, given a talk, and talked = about where intervals might hit his work and that of his colleagues. So = worse than "They don't know about intervals," it might be "They know = about intervals and still did not make a connection." :-( Guess I was not a convincing salesman. On the other hand, they've been fighting to get this paper published = for at least a half dozen years. The work is 10 years old, begun at = Rice under John Dennis. It is quite controversial in the conventional = optimization community. I suspect the length of the paper is a result = of lengthy negotiations with multiple demanding referees. It might be = the referees' fault that intervals don't appear. Intervals MIGHT have = been there and been removed to save space to make room for material = refuting the assertions of one referee or another. I suspect we have all = written pages addressed to a single referee, perhaps the only person in = the world concerned with that question, but whose approval was necessary = for publication. Sometimes that's how papers get so long. I understand your point. Mike and Virginia are good scientists. I'm = sure they would welcome input, but I'd be slow with criticism. Besides, = where they are just got hit by the hurricane this week. Dr. George F. Corliss Electrical and Computer Engineering Haggerty Engineering 296 Marquette University P.O. Box 1881 Milwaukee, WI 53201-1881 USA George.Corliss [at] Marquette [dot] edu or georgec [at] mscs [dot] mu.edu Office: 414-288-6599; Dept: 288-6820; Fax: 288-5579 =20 -----Original Message----- From: owner-reliable_computing [at] interval [dot] louisiana.edu = [mailto:owner-reliable_computing [at] interval [dot] louisiana.edu] On Behalf Of = Ray Moore Sent: Friday, September 19, 2003 3:27 PM To: reliable_computing [at] interval [dot] louisiana.edu Subject: Optimization by direct search The September 2003 issue of SIAM Review features a lead survey paper = by Tamara G. Kolda, Robert Michael Lewis and Virginia Torczon on = "Optimization by Direct Search" about optimization methods that do not = explicitly use derivatives. It is a 97 page paper, but has no mention = whatever of interval methods. Why is that? Perhaps it is because the authors had not noticed such publications = as 1) H. Ratschek and J. Rokne, New Computer Methods for Global = Optimization, Ellis Horwood and John Wiley (1988). 2) Ramon Moore, Eldon Hansen, and Anthony Leclerc, "Rigorous methods = for global optimization", in Recent Advances in Global Optimization, C. = A. Floudas and P. M. Pardalos (eds.), Princeton Series in Computer = Science, (1992), pp.321-342. 3) Dietmar Ratz, "Nonsmooth global optimization", in Perspectives on = Enclosure Methods, U. Kulisch, R. Lohner, and A. Facius (eds.), Springer = (2001), pp. 277-339. There are many others as well that could perhaps be suggested to the = authors of the SIAM Review paper.=20 best wishes to all, Ramon Moore ------=_NextPart_000_003E_01C37ED2.23E889E0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Message
George and all,
 
All I did was point out that there is = no mention of=20 intervals. Other than that, I made no criticism. I do not know what it = will take=20 for interval methods to be taken seriously by the "mainstream" = optimization=20 community. It is discouraging that you had already pointed out the = relevance of=20 interval methods to two of the authors of the SIAM Review article. I = understand=20 your points about referees and all, but still . . .
 
I am sorry that anyone got hit by the=20 hurricane.
 
best regards,
 
Ray
----- Original Message -----
From:=20 Dr. George Corliss =
Cc: reliable_comput= ing [at] interval [dot] louisiana.edu=20
Sent: Friday, September 19, = 2003 5:08=20 PM
Subject: RE: Optimization by = direct=20 search

Ray,
 
The=20 picture may be worse than that, or it may be more = subtle. =20
 
I = know authors=20 Mike Lewis and Virginia Torczon fairly well.  Each has heard me = give=20 talks on interval global optimization at least twice.  I have = visited=20 Mike at NASA for a couple days, given a talk, and talked about where = intervals=20 might hit his work and that of his colleagues.  So worse than = "They don't=20 know about intervals," it might be "They know about = intervals and=20 still did not make a connection." :-(
 
Guess I was not a=20 convincing salesman.
 
On = the other hand,=20 they've been fighting to get this paper published for at least a half = dozen=20 years.  The work is 10 years old, begun at Rice under John = Dennis. =20 It is quite controversial in the conventional optimization = community.  I=20 suspect the length of the paper is a result of lengthy = negotiations with=20 multiple demanding referees.  It might be the referees' fault = that=20 intervals don't appear.  Intervals MIGHT have been there and = been=20 removed to save space to make room for material refuting the = assertions of one=20 referee or another. I suspect we have all written pages addressed to a = single=20 referee, perhaps the only person in the world concerned with that = question,=20 but whose approval was necessary for publication.  Sometimes = that's how=20 papers get so long.
 
I = understand your=20 point.  Mike and Virginia are good scientists. I'm sure they = would=20 welcome input, but I'd be slow with criticism.  Besides, = where they=20 are just got hit by the hurricane this week.

Dr. George F. Corliss
Electrical and = Computer=20 Engineering
Haggerty Engineering 296
Marquette = University
P.O. Box=20 1881
Milwaukee, WI  53201-1881  USA
George.Corliss [at] Marquette [dot] edu= or=20 georgec [at] mscs [dot] mu.edu
Office: 414-288-6599;  Dept: 288-6820; = Fax:=20 288-5579
 

-----Original Message-----
From:=20 owner-reliable_computing [at] interval [dot] louisiana.edu=20 [mailto:owner-reliable_computing [at] interval [dot] louisiana.edu] On = Behalf Of=20 Ray Moore
Sent: Friday, September 19, 2003 3:27=20 PM
To:=20 reliable_computing [at] interval [dot] louisiana.edu
Subject: = Optimization by=20 direct search

The = September 2003=20 issue of SIAM Review features a lead survey paper by Tamara G. = Kolda, Robert=20 Michael Lewis and Virginia Torczon on "Optimization by Direct = Search" about=20 optimization methods that do not explicitly use derivatives. It is a = 97 page=20 paper, but has no mention whatever of interval methods. Why is=20 that?
 
Perhaps it is  because the = authors had not=20 noticed such publications as
 
1) H. Ratschek and J. Rokne, = New Computer=20 Methods for Global Optimization, Ellis Horwood and John Wiley=20 (1988).
 
2) Ramon Moore, Eldon Hansen, and = Anthony=20 Leclerc, "Rigorous methods for global optimization", in Recent = Advances=20 in Global Optimization, C. A. Floudas and P. M. Pardalos = (eds.),=20 Princeton Series in Computer Science, (1992), = pp.321-342.
 
3) Dietmar Ratz, "Nonsmooth global=20 optimization", in Perspectives on Enclosure Methods, U. = Kulisch, R.=20 Lohner, and A. Facius (eds.), Springer (2001), pp. = 277-339.
 
There are many others as well that = could=20 perhaps be suggested to the authors of the SIAM Review paper. =
 
best wishes to all,
 
Ramon=20 Moore
------=_NextPart_000_003E_01C37ED2.23E889E0-- From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Sep 19 16:37:53 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8JLbr427246 for reliable_computing-outgoing; Fri, 19 Sep 2003 16:37:53 -0500 (CDT) Received: from imf18aec.mail.bellsouth.net (imf18aec.mail.bellsouth.net [205.152.59.66]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8JLblS27242 for ; Fri, 19 Sep 2003 16:37:47 -0500 (CDT) Received: from Inspiron-8200 ([68.155.35.100]) by imf18aec.mail.bellsouth.net (InterMail vM.5.01.05.27 201-253-122-126-127-20021220) with SMTP id <20030919213739.RUFY1874.imf18aec.mail.bellsouth.net@Inspiron-8200>; Fri, 19 Sep 2003 17:37:39 -0400 Message-Id: <2.2.32.20030919213737.009bec8c [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Fri, 19 Sep 2003 16:37:37 -0500 To: "Ray Moore" , From: "R. Baker Kearfott" Subject: Re: Optimization by direct search Cc: Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Ray, Last week, I pointed out to More' et al at Argonne that intervals can provide tight bounds on solutions to sparse linear systems with less computation than the heuristic (possibly erroneous) condition estimator presently in use in LAPACK. I wonder if it sunk in. My guess is that avoiding hype but concentrating on applications of intervals that are certain to be practical but not yet in general use will be fruitful. In my view, there are plenty of such applications. We should give convincing arguments or demonstrations in each case, and we should be prepared to repeat ourselves. Best regards, Baker At 05:19 PM 9/19/2003 -0400, Ray Moore wrote: >MessageGeorge and all, > >All I did was point out that there is no mention of intervals. Other than that, I made no criticism. I do not know what it will take for interval methods to be taken seriously by the "mainstream" optimization community. It is discouraging that you had already pointed out the relevance of interval methods to two of the authors of the SIAM Review article. I understand your points about referees and all, but still . . . > >I am sorry that anyone got hit by the hurricane. > >best regards, > >Ray --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Sep 19 16:41:02 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8JLf1227343 for reliable_computing-outgoing; Fri, 19 Sep 2003 16:41:01 -0500 (CDT) Received: from ohsmtp03.ogw.rr.com (ohsmtp03.ogw.rr.com [65.24.7.38]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8JLeuS27339 for ; Fri, 19 Sep 2003 16:40:56 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp03.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8JLesIi015348; Fri, 19 Sep 2003 17:40:55 -0400 (EDT) Message-ID: <005001c37ef6$b9f0b380$f6ac1841@REM> From: "Ray Moore" To: "R. Baker Kearfott" , Cc: References: <2.2.32.20030919213737.009bec8c [at] pop [dot] louisiana.edu> Subject: Re: Optimization by direct search Date: Fri, 19 Sep 2003 17:41:04 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Baker, Yes, it is deja vu all over again. Ray ----- Original Message ----- From: "R. Baker Kearfott" To: "Ray Moore" ; Cc: Sent: Friday, September 19, 2003 5:37 PM Subject: Re: Optimization by direct search > Ray, > > Last week, I pointed out to More' et al at Argonne that intervals > can provide tight bounds on solutions to sparse linear systems > with less computation than the heuristic (possibly erroneous) > condition estimator presently in use in LAPACK. I wonder if it > sunk in. > > My guess is that avoiding hype but concentrating on applications > of intervals that are certain to be practical but not yet in general use > will be fruitful. In my view, there are plenty of such applications. > We should give convincing arguments or demonstrations in each case, > and we should be prepared to repeat ourselves. > > Best regards, > > Baker > > At 05:19 PM 9/19/2003 -0400, Ray Moore wrote: > >MessageGeorge and all, > > > >All I did was point out that there is no mention of intervals. Other than > that, I made no criticism. I do not know what it will take for interval > methods to be taken seriously by the "mainstream" optimization community. It > is discouraging that you had already pointed out the relevance of interval > methods to two of the authors of the SIAM Review article. I understand your > points about referees and all, but still . . . > > > >I am sorry that anyone got hit by the hurricane. > > > >best regards, > > > >Ray > > --------------------------------------------------------------- > R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) > (337) 482-5270 (work) (337) 993-1827 (home) > URL: http://interval.louisiana.edu/kearfott.html > Department of Mathematics, University of Louisiana at Lafayette > Box 4-1010, Lafayette, LA 70504-1010, USA > --------------------------------------------------------------- > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 06:57:16 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MBvGv01203 for reliable_computing-outgoing; Mon, 22 Sep 2003 06:57:16 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MBvDk01198 for reliable_computing [at] interval [dot] louisiana.edu; Mon, 22 Sep 2003 06:57:13 -0500 (CDT) Received: from delgado.inria.fr (IDENT:root [at] delgado [dot] inria.fr [138.96.116.18]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8M87uS00742 for ; Mon, 22 Sep 2003 03:07:56 -0500 (CDT) Received: (from aneumaie@localhost) by delgado.inria.fr (8.12.10/8.12.5) id h8M87rb6010258; Mon, 22 Sep 2003 10:07:53 +0200 Date: Mon, 22 Sep 2003 10:07:53 +0200 From: Arnold Neumaier Message-Id: <200309220807.h8M87rb6010258 [at] delgado [dot] inria.fr> To: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: Optimization by direct search Cc: Arnold.Neumaier [at] univie [dot] ac.at Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Ray Moore wrote: > > The September 2003 issue of SIAM Review features a lead survey > paper by Tamara G. Kolda, Robert Michael Lewis and Virginia Torczon on > "Optimization by Direct Search" about optimization methods that do not > explicitly use derivatives. It is a 97 page paper, but has no mention > whatever of interval methods. Why is that? The reason is that intervals have nothing to do with the subject. "Optimization by Direct Search" is the name for optimization of functions which are given by - usually expensive - black box routines (e.g., from PDE calculations or Monte Carlo simulations) or even by real measurements, that only return approximate function values at single points. I wonder how you want to do interval analysis on thus problems. > I do not know what it will take for interval methods to be taken > seriously by the "mainstream" optimization community. I know. It will take giving up the sectarian attitude that is still prevalent among some interval researchers. Intervals are not as important as some may wish they'd be, and they are not as powerful as some may wish they'd be. Creating false impressions makes negative publicity. While intervals are very useful tools in some areas where problem size is not large and safe answers are critical, they are too limited for many (most?) applications. Interval methods a r e already recognized by the "mainstream" optimization community in the area of global optimization where they are indispensible for successful complete search in all but the simplest problems. People recognize what they find useful or promising for their own objectives, and nothing else. Excellent results make much better publicity than many words. Create a package that solves systems of 10 000 sparse linear equations (e.g. those from the Matrix Market) rigorously with a cost no more than 10 times the cost for approximate solvers, and people will recognize it as valuable. But its use will still be limited, unless the package also handles well dependent uncertainties in the coefficients. Create a package that solves systems of 100 ODEs rigorously with a cost no more than 10 times the cost for approximate solvers, and people will recognize it as useful, and use it for validation. Create a package that solves elliptic boundary value problems for PDEs with uncertain input data of engineering accuracy (1% errors) and gives consistently results with no more than 5% overestimation, with a cost no more than 50 times the cost for point solvers, and people will recognize it as very valuable, and will use it a lot. George Corliss wrote: > > So worse than "They don't know about intervals," it might be > "They know about intervals and still did not make a connection." The authors judgment is completely sound. I know about intervals and would not make a connection either if I'd write a paper about direct search. Arnold Neumaier From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 09:42:54 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MEgqB01416 for reliable_computing-outgoing; Mon, 22 Sep 2003 09:42:53 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MEgnj01411 for reliable_computing [at] interval [dot] louisiana.edu; Mon, 22 Sep 2003 09:42:49 -0500 (CDT) Received: from delgado.inria.fr (IDENT:root [at] delgado [dot] inria.fr [138.96.116.18]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8M87uS00742 for ; Mon, 22 Sep 2003 03:07:56 -0500 (CDT) Received: (from aneumaie@localhost) by delgado.inria.fr (8.12.10/8.12.5) id h8M87rb6010258; Mon, 22 Sep 2003 10:07:53 +0200 Date: Mon, 22 Sep 2003 10:07:53 +0200 From: Arnold Neumaier Message-Id: <200309220807.h8M87rb6010258 [at] delgado [dot] inria.fr> To: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: Optimization by direct search Cc: Arnold.Neumaier [at] univie [dot] ac.at Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Ray Moore wrote: > > The September 2003 issue of SIAM Review features a lead survey > paper by Tamara G. Kolda, Robert Michael Lewis and Virginia Torczon on > "Optimization by Direct Search" about optimization methods that do not > explicitly use derivatives. It is a 97 page paper, but has no mention > whatever of interval methods. Why is that? The reason is that intervals have nothing to do with the subject. "Optimization by Direct Search" is the name for optimization of functions which are given by - usually expensive - black box routines (e.g., from PDE calculations or Monte Carlo simulations) or even by real measurements, that only return approximate function values at single points. I wonder how you want to do interval analysis on thus problems. > I do not know what it will take for interval methods to be taken > seriously by the "mainstream" optimization community. I know. It will take giving up the sectarian attitude that is still prevalent among some interval researchers. Intervals are not as important as some may wish they'd be, and they are not as powerful as some may wish they'd be. Creating false impressions makes negative publicity. While intervals are very useful tools in some areas where problem size is not large and safe answers are critical, they are too limited for many (most?) applications. Interval methods a r e already recognized by the "mainstream" optimization community in the area of global optimization where they are indispensible for successful complete search in all but the simplest problems. People recognize what they find useful or promising for their own objectives, and nothing else. Excellent results make much better publicity than many words. Create a package that solves systems of 10 000 sparse linear equations (e.g. those from the Matrix Market) rigorously with a cost no more than 10 times the cost for approximate solvers, and people will recognize it as valuable. But its use will still be limited, unless the package also handles well dependent uncertainties in the coefficients. Create a package that solves systems of 100 ODEs rigorously with a cost no more than 10 times the cost for approximate solvers, and people will recognize it as useful, and use it for validation. Create a package that solves elliptic boundary value problems for PDEs with uncertain input data of engineering accuracy (1% errors) and gives consistently results with no more than 5% overestimation, with a cost no more than 50 times the cost for point solvers, and people will recognize it as very valuable, and will use it a lot. George Corliss wrote: > > So worse than "They don't know about intervals," it might be > "They know about intervals and still did not make a connection." The authors judgment is completely sound. I know about intervals and would not make a connection either if I'd write a paper about direct search. Arnold Neumaier From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 13:13:43 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MIDg901667 for reliable_computing-outgoing; Mon, 22 Sep 2003 13:13:42 -0500 (CDT) Received: from mcs.anl.gov (cliff.mcs.anl.gov [140.221.9.17]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MIDZS01663 for ; Mon, 22 Sep 2003 13:13:35 -0500 (CDT) Received: from merlin.mcs.anl.gov (merlin.mcs.anl.gov [140.221.11.61]) by mcs.anl.gov (8.11.6/8.9.3) with ESMTP id h8MIDS0140014; Mon, 22 Sep 2003 13:13:28 -0500 Received: from cliff.mcs.anl.gov (more@localhost) by merlin.mcs.anl.gov (8.11.6/8.11.0) with ESMTP id h8MIDSw11965; Mon, 22 Sep 2003 13:13:28 -0500 Message-Id: <200309221813.h8MIDSw11965 [at] merlin [dot] mcs.anl.gov> X-Authentication-Warning: merlin.mcs.anl.gov: more owned process doing -bs To: "R. Baker Kearfott" cc: "Ray Moore" , George.Corliss [at] Marquette [dot] edu, reliable_computing [at] interval [dot] louisiana.edu, more [at] mcs [dot] anl.gov Subject: Re: Optimization by direct search In-Reply-To: Message from "R. Baker Kearfott" of "Fri, 19 Sep 2003 16:37:37 CDT." <2.2.32.20030919213737.009bec8c [at] pop [dot] louisiana.edu> Date: Mon, 22 Sep 2003 13:13:28 -0500 From: "Jorge More'" Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Baker, As we discussed at the Argonne workshop, the interval arithmetic community needs to do more to explain the advantages and disadvantages of interval arithmetic. In the same vein, I must say that I am in general sympathy with Arnold's comments. The situation is somewhat similar to the one faced by the automatic differentiation community. Although AD had a long history, the full potential of AD was not begun to be realized until recently. I give Andreas Griewank a lot of credit for this. The automatic differentiation community has made fantastic progress in the last 10 years or so by developing software, writing papers in the general scientific computing community, developing "success stories", and choosing the applications on which their techniques apply and yield significant improvements. Look, for example, at ADIFOR and all the applications that they have attacked. Look, for example, at the work of Andreas Griewank. In my view, the internal arithmetic community has not done nearly as good a job. For example, is there a paper where Baker's claim is established. This type of result would appeal to the audience of SISC, for example. Is there a paper in SIAM review that highlights the accomplishments (and limitations) of interval arithmetic? The SIAM server is down so I could not check on this. How about SIAM News? This would help to spread the word. But do remember what Arnold says, "Creating false impressions makes negative publicity." I hope this helps. Best wishes, Jorge > Ray, > > Last week, I pointed out to More' et al at Argonne that intervals > can provide tight bounds on solutions to sparse linear systems > with less computation than the heuristic (possibly erroneous) > condition estimator presently in use in LAPACK. I wonder if it > sunk in. > > My guess is that avoiding hype but concentrating on applications > of intervals that are certain to be practical but not yet in general use > will be fruitful. In my view, there are plenty of such applications. > We should give convincing arguments or demonstrations in each case, > and we should be prepared to repeat ourselves. > > Best regards, > > Baker > > At 05:19 PM 9/19/2003 -0400, Ray Moore wrote: > >MessageGeorge and all, > > > >All I did was point out that there is no mention of intervals. Other than > that, I made no criticism. I do not know what it will take for interval > methods to be taken seriously by the "mainstream" optimization community. It > is discouraging that you had already pointed out the relevance of interval > methods to two of the authors of the SIAM Review article. I understand your > points about referees and all, but still . . . > > > >I am sorry that anyone got hit by the hurricane. > > > >best regards, > > > >Ray > > --------------------------------------------------------------- > R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) > (337) 482-5270 (work) (337) 993-1827 (home) > URL: http://interval.louisiana.edu/kearfott.html > Department of Mathematics, University of Louisiana at Lafayette > Box 4-1010, Lafayette, LA 70504-1010, USA > --------------------------------------------------------------- > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 14:29:40 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MJTeI01828 for reliable_computing-outgoing; Mon, 22 Sep 2003 14:29:40 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MJTZS01824 for ; Mon, 22 Sep 2003 14:29:35 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8MJTL2t019125; Mon, 22 Sep 2003 15:29:22 -0400 (EDT) Message-ID: <000a01c3813f$de4da8a0$f6ac1841@REM> From: "Ray Moore" To: "Jorge More'" , "R. Baker Kearfott" Cc: , , References: <200309221813.h8MIDSw11965 [at] merlin [dot] mcs.anl.gov> Subject: Re: Optimization by direct search Date: Mon, 22 Sep 2003 15:29:40 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Jorge, Thanks for your thoughtful comments. Yes, there was at least one paper in SIAM Review: R. Moore, "Bounding sets in function spaces with applications to nonlinear operator equations", SIAM Review 20, 1978, 492-512. There have been articles in SIAM News, but I do not have the references at hand. I agree there is work to be done in publicizing the situations in which interval methods provide advantages over point methods. At the same time, there have been many publications in books and numerous journals, including success stories for example those of Mark Stadtherr in chemical engineering. The literature is available. best regards, Ray Moore ----- Original Message ----- From: "Jorge More'" To: "R. Baker Kearfott" Cc: "Ray Moore" ; ; ; Sent: Monday, September 22, 2003 2:13 PM Subject: Re: Optimization by direct search > > Baker, > > As we discussed at the Argonne workshop, the > interval arithmetic community needs to do more > to explain the advantages and disadvantages of > interval arithmetic. > > In the same vein, I must say that I am in general > sympathy with Arnold's comments. > > The situation is somewhat similar to the one faced by > the automatic differentiation community. > Although AD had a long history, the full potential of > AD was not begun to be realized until recently. > I give Andreas Griewank a lot of credit for this. > > The automatic differentiation community has made > fantastic progress in the last 10 years or so by developing software, > writing papers in the general scientific computing > community, developing "success stories", and choosing the applications > on which their techniques apply and yield significant improvements. > Look, for example, at ADIFOR and all the applications that they > have attacked. Look, for example, at the work of Andreas Griewank. > > In my view, the internal arithmetic community has not done > nearly as good a job. > > For example, is there a paper where Baker's claim is established. > This type of result would appeal to the audience of SISC, for example. > > Is there a paper in SIAM review that highlights the > accomplishments (and limitations) of interval arithmetic? > The SIAM server is down so I could not check on this. > > How about SIAM News? This would help to spread the word. > But do remember what Arnold says, "Creating false impressions makes > negative publicity." > > I hope this helps. > > Best wishes, > > Jorge > > > > Ray, > > > > Last week, I pointed out to More' et al at Argonne that intervals > > can provide tight bounds on solutions to sparse linear systems > > with less computation than the heuristic (possibly erroneous) > > condition estimator presently in use in LAPACK. I wonder if it > > sunk in. > > > > My guess is that avoiding hype but concentrating on applications > > of intervals that are certain to be practical but not yet in general use > > will be fruitful. In my view, there are plenty of such applications. > > We should give convincing arguments or demonstrations in each case, > > and we should be prepared to repeat ourselves. > > > > Best regards, > > > > Baker > > > > At 05:19 PM 9/19/2003 -0400, Ray Moore wrote: > > >MessageGeorge and all, > > > > > >All I did was point out that there is no mention of intervals. Other than > > that, I made no criticism. I do not know what it will take for interval > > methods to be taken seriously by the "mainstream" optimization community. It > > is discouraging that you had already pointed out the relevance of interval > > methods to two of the authors of the SIAM Review article. I understand your > > points about referees and all, but still . . . > > > > > >I am sorry that anyone got hit by the hurricane. > > > > > >best regards, > > > > > >Ray > > > > --------------------------------------------------------------- > > R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) > > (337) 482-5270 (work) (337) 993-1827 (home) > > URL: http://interval.louisiana.edu/kearfott.html > > Department of Mathematics, University of Louisiana at Lafayette > > Box 4-1010, Lafayette, LA 70504-1010, USA > > --------------------------------------------------------------- > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 14:49:35 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MJnZ101944 for reliable_computing-outgoing; Mon, 22 Sep 2003 14:49:35 -0500 (CDT) Received: from brmea-mail-2.sun.com (brmea-mail-2.Sun.COM [192.18.98.43]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MJnTS01940 for ; Mon, 22 Sep 2003 14:49:29 -0500 (CDT) Received: from heliopolis.eng.sun.com ([152.70.28.21]) by brmea-mail-2.sun.com (8.12.10/8.12.9) with ESMTP id h8MJmSxK018427; Mon, 22 Sep 2003 13:48:28 -0600 (MDT) Received: from sun.com (sml-mtv29-dhcp-34-115 [152.70.34.115]) by heliopolis.eng.sun.com (8.11.6+Sun/8.11.6/ENSMAIL,v2.1p1) with ESMTP id h8MJmRQ08027; Mon, 22 Sep 2003 12:48:27 -0700 (PDT) Message-ID: <3F6F5283.5080108 [at] sun [dot] com> Date: Mon, 22 Sep 2003 12:50:27 -0700 From: "G. William Walster" Reply-To: bill.walster [at] sun [dot] com Organization: Sun Microsystems Laboratories User-Agent: Mozilla/5.0 (Macintosh; U; PPC Mac OS X Mach-O; en-US; rv:1.4) Gecko/20030624 Netscape/7.1 X-Accept-Language: en-us, en MIME-Version: 1.0 To: Ray Moore CC: "Jorge More'" , "R. Baker Kearfott" , George.Corliss [at] Marquette [dot] edu, reliable_computing [at] interval [dot] louisiana.edu Subject: Re: Optimization by direct search References: <200309221813.h8MIDSw11965 [at] merlin [dot] mcs.anl.gov> <000a01c3813f$de4da8a0$f6ac1841@REM> In-Reply-To: <000a01c3813f$de4da8a0$f6ac1841@REM> Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk The SIAM News article was by Michael Yohe in the '70s. Ray Moore wrote: >Jorge, > >Thanks for your thoughtful comments. > >Yes, there was at least one paper in SIAM Review: > >R. Moore, "Bounding sets in function spaces with applications to nonlinear >operator equations", SIAM Review 20, 1978, 492-512. > >There have been articles in SIAM News, but I do not have the references at >hand. > >I agree there is work to be done in publicizing the situations in which >interval methods provide advantages over point methods. >At the same time, there have been many publications in books and numerous >journals, including success stories for example those of Mark Stadtherr in >chemical engineering. The literature is available. > >best regards, > >Ray Moore > >----- Original Message ----- >From: "Jorge More'" >To: "R. Baker Kearfott" >Cc: "Ray Moore" ; ; >; >Sent: Monday, September 22, 2003 2:13 PM >Subject: Re: Optimization by direct search > > > > >>Baker, >> >>As we discussed at the Argonne workshop, the >>interval arithmetic community needs to do more >>to explain the advantages and disadvantages of >>interval arithmetic. >> >>In the same vein, I must say that I am in general >>sympathy with Arnold's comments. >> >>The situation is somewhat similar to the one faced by >>the automatic differentiation community. >>Although AD had a long history, the full potential of >>AD was not begun to be realized until recently. >>I give Andreas Griewank a lot of credit for this. >> >>The automatic differentiation community has made >>fantastic progress in the last 10 years or so by developing software, >>writing papers in the general scientific computing >>community, developing "success stories", and choosing the applications >>on which their techniques apply and yield significant improvements. >>Look, for example, at ADIFOR and all the applications that they >>have attacked. Look, for example, at the work of Andreas Griewank. >> >>In my view, the internal arithmetic community has not done >>nearly as good a job. >> >>For example, is there a paper where Baker's claim is established. >>This type of result would appeal to the audience of SISC, for example. >> >>Is there a paper in SIAM review that highlights the >>accomplishments (and limitations) of interval arithmetic? >>The SIAM server is down so I could not check on this. >> >>How about SIAM News? This would help to spread the word. >>But do remember what Arnold says, "Creating false impressions makes >>negative publicity." >> >>I hope this helps. >> >>Best wishes, >> >>Jorge >> >> >> >> >>>Ray, >>> >>>Last week, I pointed out to More' et al at Argonne that intervals >>>can provide tight bounds on solutions to sparse linear systems >>>with less computation than the heuristic (possibly erroneous) >>>condition estimator presently in use in LAPACK. I wonder if it >>>sunk in. >>> >>>My guess is that avoiding hype but concentrating on applications >>>of intervals that are certain to be practical but not yet in general use >>>will be fruitful. In my view, there are plenty of such applications. >>>We should give convincing arguments or demonstrations in each case, >>>and we should be prepared to repeat ourselves. >>> >>>Best regards, >>> >>>Baker >>> >>>At 05:19 PM 9/19/2003 -0400, Ray Moore wrote: >>> >>> >>>>MessageGeorge and all, >>>> >>>>All I did was point out that there is no mention of intervals. Other >>>> >>>> >than > > >>>that, I made no criticism. I do not know what it will take for interval >>>methods to be taken seriously by the "mainstream" optimization >>> >>> >community. It > > >>>is discouraging that you had already pointed out the relevance of >>> >>> >interval > > >>>methods to two of the authors of the SIAM Review article. I understand >>> >>> >your > > >>>points about referees and all, but still . . . >>> >>> >>>>I am sorry that anyone got hit by the hurricane. >>>> >>>>best regards, >>>> >>>>Ray >>>> >>>> >>>--------------------------------------------------------------- >>>R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) >>>(337) 482-5270 (work) (337) 993-1827 (home) >>>URL: http://interval.louisiana.edu/kearfott.html >>>Department of Mathematics, University of Louisiana at Lafayette >>>Box 4-1010, Lafayette, LA 70504-1010, USA >>>--------------------------------------------------------------- >>> >>> >>> > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 15:36:31 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MKaVJ02067 for reliable_computing-outgoing; Mon, 22 Sep 2003 15:36:31 -0500 (CDT) Received: from sunshine.math.utah.edu (IDENT:I1EBvhA40dOaK/A2yngX7HCvgoqsXzQI [at] sunshine [dot] math.utah.edu [128.110.198.2]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MKaQS02063 for ; Mon, 22 Sep 2003 15:36:26 -0500 (CDT) Received: from psi.math.utah.edu (IDENT:yKx+mvAfDI2ulSvinEb0k+hU37T/XaXu [at] psi [dot] math.utah.edu [128.110.198.32]) by sunshine.math.utah.edu (8.9.3p2/8.9.3) with ESMTP id OAA15611; Mon, 22 Sep 2003 14:36:14 -0600 (MDT) Received: (from beebe@localhost) by psi.math.utah.edu (8.9.3p2/8.9.3) id OAA05665; Mon, 22 Sep 2003 14:36:14 -0600 (MDT) Date: Mon, 22 Sep 2003 14:36:14 -0600 (MDT) From: "Nelson H. F. Beebe" To: reliable_computing [at] interval [dot] louisiana.edu, more [at] mcs [dot] anl.gov Cc: beebe [at] math [dot] utah.edu X-US-Mail: "Center for Scientific Computing, Department of Mathematics, 110 LCB, University of Utah, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA" X-Telephone: +1 801 581 5254 X-FAX: +1 801 585 1640, +1 801 581 4148 X-URL: http://www.math.utah.edu/~beebe Subject: Yohe SIAM News reference Message-ID: Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Here is the full reference to the SIAM News article by Yohe: @Article{Yohe:1980:IAC, author = "J. M. Yohe", title = "Interval Analysis Comes of Age", journal = j-SIAM-NEWS, volume = "13", number = "1+8", year = "1980", bibdate = "Fri Jan 12 11:37:56 1996", acknowledgement = ack-jr, } ------------------------------------------------------------------------------- - Nelson H. F. Beebe Tel: +1 801 581 5254 - - Center for Scientific Computing FAX: +1 801 581 4148 - - University of Utah Internet e-mail: beebe [at] math [dot] utah.edu - - Department of Mathematics, 110 LCB beebe [at] acm [dot] org beebe [at] computer [dot] org - - 155 S 1400 E RM 233 - - Salt Lake City, UT 84112-0090, USA URL: http://www.math.utah.edu/~beebe - ------------------------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 15:42:13 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MKgCJ02166 for reliable_computing-outgoing; Mon, 22 Sep 2003 15:42:12 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MKg6S02162 for ; Mon, 22 Sep 2003 15:42:06 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8MKg42t022033; Mon, 22 Sep 2003 16:42:05 -0400 (EDT) Message-ID: <002701c3814a$06e1cc10$f6ac1841@REM> From: "Ray Moore" To: "Nelson H. F. Beebe" , , Cc: References: Subject: Re: Yohe SIAM News reference Date: Mon, 22 Sep 2003 16:42:23 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Since then there have been notably successful applications in areas including computer aided proofs in analysis robotics engineering design computer graphics chemical engineering and others. RMoore ----- Original Message ----- From: "Nelson H. F. Beebe" To: ; Cc: Sent: Monday, September 22, 2003 4:36 PM Subject: Yohe SIAM News reference > Here is the full reference to the SIAM News article by Yohe: > > @Article{Yohe:1980:IAC, > author = "J. M. Yohe", > title = "Interval Analysis Comes of Age", > journal = j-SIAM-NEWS, > volume = "13", > number = "1+8", > year = "1980", > bibdate = "Fri Jan 12 11:37:56 1996", > acknowledgement = ack-jr, > } > > -------------------------------------------------------------------------- ----- > - Nelson H. F. Beebe Tel: +1 801 581 - > - Center for Scientific Computing FAX: +1 801 581 - > - University of Utah Internet e-mail: beebe [at] math [dot] utah.edu - > - Department of Mathematics, 110 LCB beebe [at] acm [dot] org beebe [at] computer [dot] org - > - 155 S 1400 E RM - > - Salt Lake City, UT 84112-0090, USA URL: http://www.math.utah.edu/~beebe - > -------------------------------------------------------------------------- ----- > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 15:51:40 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MKpeq02296 for reliable_computing-outgoing; Mon, 22 Sep 2003 15:51:40 -0500 (CDT) Received: from imf20aec.mail.bellsouth.net (imf20aec.mail.bellsouth.net [205.152.59.68]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MKpYS02292 for ; Mon, 22 Sep 2003 15:51:34 -0500 (CDT) Received: from Inspiron-8200 ([68.155.35.100]) by imf20aec.mail.bellsouth.net (InterMail vM.5.01.05.27 201-253-122-126-127-20021220) with SMTP id <20030922205112.CXJB1781.imf20aec.mail.bellsouth.net@Inspiron-8200>; Mon, 22 Sep 2003 16:51:12 -0400 Message-Id: <2.2.32.20030922205106.009bdb64 [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Mon, 22 Sep 2003 15:51:06 -0500 To: "Jorge More'" From: "R. Baker Kearfott" Subject: Re: Optimization by direct search Cc: "Ray Moore" , George.Corliss [at] Marquette [dot] edu, reliable_computing [at] interval [dot] louisiana.edu, more [at] mcs [dot] anl.gov Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Jorge, I need to clarify my statement a bit. To be precise, it has been shown that it is faster (and gives better bounds) to use interval methods if the matrix is an H_matrix. See the article by Korn et al in SIAM J. Sci. Comput 17 (4), July, 1996, pp. 1013-1017. The "hype" in my previous statement, however, was not intentional. The general underlying validation technique is underutilized in other situations, even though the advantageous nature for very large systems when the matrix is the H matrix may be absent. (Thank you, Arnold Neumaier for correcting me on this.) Best regards, Baker At 01:13 PM 9/22/2003 -0500, Jorge More' wrote: > >Baker, > >As we discussed at the Argonne workshop, the >interval arithmetic community needs to do more >to explain the advantages and disadvantages of >interval arithmetic. > >In the same vein, I must say that I am in general >sympathy with Arnold's comments. > >The situation is somewhat similar to the one faced by >the automatic differentiation community. >Although AD had a long history, the full potential of >AD was not begun to be realized until recently. >I give Andreas Griewank a lot of credit for this. > >The automatic differentiation community has made >fantastic progress in the last 10 years or so by developing software, >writing papers in the general scientific computing >community, developing "success stories", and choosing the applications >on which their techniques apply and yield significant improvements. >Look, for example, at ADIFOR and all the applications that they >have attacked. Look, for example, at the work of Andreas Griewank. > >In my view, the internal arithmetic community has not done >nearly as good a job. > >For example, is there a paper where Baker's claim is established. >This type of result would appeal to the audience of SISC, for example. > >Is there a paper in SIAM review that highlights the >accomplishments (and limitations) of interval arithmetic? >The SIAM server is down so I could not check on this. > >How about SIAM News? This would help to spread the word. >But do remember what Arnold says, "Creating false impressions makes >negative publicity." > >I hope this helps. > >Best wishes, > >Jorge > > >> Ray, >> >> Last week, I pointed out to More' et al at Argonne that intervals >> can provide tight bounds on solutions to sparse linear systems >> with less computation than the heuristic (possibly erroneous) >> condition estimator presently in use in LAPACK. I wonder if it >> sunk in. >> >> My guess is that avoiding hype but concentrating on applications >> of intervals that are certain to be practical but not yet in general use >> will be fruitful. In my view, there are plenty of such applications. >> We should give convincing arguments or demonstrations in each case, >> and we should be prepared to repeat ourselves. >> >> Best regards, >> >> Baker >> >> At 05:19 PM 9/19/2003 -0400, Ray Moore wrote: >> >MessageGeorge and all, >> > >> >All I did was point out that there is no mention of intervals. Other than >> that, I made no criticism. I do not know what it will take for interval >> methods to be taken seriously by the "mainstream" optimization community. It >> is discouraging that you had already pointed out the relevance of interval >> methods to two of the authors of the SIAM Review article. I understand your >> points about referees and all, but still . . . >> > >> >I am sorry that anyone got hit by the hurricane. >> > >> >best regards, >> > >> >Ray >> >> --------------------------------------------------------------- >> R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) >> (337) 482-5270 (work) (337) 993-1827 (home) >> URL: http://interval.louisiana.edu/kearfott.html >> Department of Mathematics, University of Louisiana at Lafayette >> Box 4-1010, Lafayette, LA 70504-1010, USA >> --------------------------------------------------------------- >> > > --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 22 16:43:39 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8MLhdJ02492 for reliable_computing-outgoing; Mon, 22 Sep 2003 16:43:39 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8MLhYS02488 for ; Mon, 22 Sep 2003 16:43:34 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8MLhW2t009928; Mon, 22 Sep 2003 17:43:33 -0400 (EDT) Message-ID: <002c01c38152$9d6af640$f6ac1841@REM> From: "Ray Moore" To: "Martin Berz" Cc: References: Subject: Re: Yohe SIAM News reference Date: Mon, 22 Sep 2003 17:43:52 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Thanks Martin, No I didn't forget physics. I was hoping you'd add that, and you did! I'm taking the liberty of seding your remarks to the list. Ray ----- Original Message ----- From: "Martin Berz" To: "Ray Moore" Sent: Monday, September 22, 2003 4:50 PM Subject: RE: Yohe SIAM News reference > Hi Ray, > > don't forget Physics. DOE has paid us several millions over the years for the > development of COSY and its Taylor model extensions for applications in the > study of Particle Accelerators in Beam Physics and more general validated > tasks. In fact, this may be one of the few federally funded interval projects > around. > > By the way, last week we had a great meeting in Toronto with various people > testing and analyzing COSY's validated integrator. It far outperforms AWA as > far as size of boxes or duration of integration is concerned, and is also very > fast now. > > Thanks, > > Martin > > -------------------------------------------------------------- > Martin Berz Professor > Department of Physics and Astronomy Michigan State University > East Lansing, MI 48824, USA Office: 517-355-9200x2130 > FAX&Voicemail: 517-913-5901 Mobile: 517-285-8562 > -------------------------------------------------------------- > > > -----Original Message----- > > From: owner-reliable_computing [at] interval [dot] louisiana.edu > > [mailto:owner-reliable_computing [at] interval [dot] louisiana.edu]On Behalf Of Ray > > Moore > > Sent: Monday, September 22, 2003 4:42 PM > > To: Nelson H. F. Beebe; reliable_computing [at] interval [dot] louisiana.edu; > > more [at] mcs [dot] anl.gov > > Cc: beebe [at] math [dot] utah.edu > > Subject: Re: Yohe SIAM News reference > > > > > > Since then there have been notably successful applications in areas > > including > > computer aided proofs in analysis > > robotics > > engineering design > > computer graphics > > chemical engineering > > > > and others. > > > > RMoore > > > > ----- Original Message ----- > > From: "Nelson H. F. Beebe" > > To: ; > > Cc: > > Sent: Monday, September 22, 2003 4:36 PM > > Subject: Yohe SIAM News reference > > > > > > > Here is the full reference to the SIAM News article by Yohe: > > > > > > @Article{Yohe:1980:IAC, > > > author = "J. M. Yohe", > > > title = "Interval Analysis Comes of Age", > > > journal = j-SIAM-NEWS, > > > volume = "13", > > > number = "1+8", > > > year = "1980", > > > bibdate = "Fri Jan 12 11:37:56 1996", > > > acknowledgement = ack-jr, > > > } > > > > > > -------------------------------------------------------------------------- > > ----- > > > - Nelson H. F. Beebe Tel: +1 801 581 > > - > > > - Center for Scientific Computing FAX: +1 801 581 > > - > > > - University of Utah Internet e-mail: > > beebe [at] math [dot] utah.edu - > > > - Department of Mathematics, 110 LCB beebe [at] acm [dot] org > > beebe [at] computer [dot] org - > > > - 155 S 1400 E RM > > - > > > - Salt Lake City, UT 84112-0090, USA URL: > > http://www.math.utah.edu/~beebe - > > > -------------------------------------------------------------------------- > > ----- > > > > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 23 09:17:44 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8NEHh103761 for reliable_computing-outgoing; Tue, 23 Sep 2003 09:17:44 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8NEHeh03756 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 23 Sep 2003 09:17:40 -0500 (CDT) Received: from suntana.fh-konstanz.de (suntana.fh-konstanz.de [141.37.9.230]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8N60VS03003 for ; Tue, 23 Sep 2003 01:00:31 -0500 (CDT) Received: from fh-konstanz.de (dialup70.fh-konstanz.de [141.37.217.70]) by suntana.fh-konstanz.de (8.9.3+Sun/8.9.3) with ESMTP id HAA29499; Tue, 23 Sep 2003 07:58:42 +0200 (MEST) Message-ID: <3F6FE853.9D581168@fh-konstanz.de> Date: Tue, 23 Sep 2003 08:29:39 +0200 From: Garloff [at] suntana [dot] fh-konstanz.de, =?iso-8859-1?Q?J=FCrgen?= Organization: Fachhochschule Konstanz X-Mailer: Mozilla 4.51 [en] (Win98; I) X-Accept-Language: en MIME-Version: 1.0 To: Ray Moore CC: "Jorge More'" , reliable_computing [at] interval [dot] louisiana.edu Subject: Re: Optimization by direct search References: <200309221813.h8MIDSw11965 [at] merlin [dot] mcs.anl.gov> <000a01c3813f$de4da8a0$f6ac1841@REM> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Ray, > There have been articles in SIAM News, but I do not have the references at > hand. a reference is J. M. Yohe Interval analysis comes of age SIAM News 13, pp. 1 + 8 (1980) Best regards, Juergen Garloff From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 23 11:35:51 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8NGZoO04021 for reliable_computing-outgoing; Tue, 23 Sep 2003 11:35:50 -0500 (CDT) Received: from zmit1.ippt.gov.pl (zmit1.ippt.gov.pl [148.81.53.8]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8NGZhS04017 for ; Tue, 23 Sep 2003 11:35:43 -0500 (CDT) Received: (from zkulpa@localhost) by zmit1.ippt.gov.pl (8.8.5/8.7.3-zmit) id SAA11555 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 23 Sep 2003 18:33:20 +0200 (MET DST) Date: Tue, 23 Sep 2003 18:33:20 +0200 (MET DST) From: Zenon Kulpa Message-Id: <200309231633.SAA11555 [at] zmit1 [dot] ippt.gov.pl> To: reliable_computing [at] interval [dot] louisiana.edu Subject: From Picture Processing to Interval Diagrams Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Let me advertise my new work of possible interest to the members of this list. ------------------------------------------------------------ Zenon Kulpa: From Picture Processing to Interval Diagrams. IFTR PAS Reports 4/2003, ix+313 pp., Warsaw 2003. http://www.ippt.gov.pl/~zkulpa/diagrams/fpptid.html The main aim of the work is the development and presentation of the novel diagrammatic notation for interval algebra and computation developed by the author, and showing its usefulness in some areas of interval algebra. Additionally, as a background for that undertaking, a state of the art survey and partially novel systematization of basic issues of diagrammatics is attempted, including a unified framework for relating various subfields and aspects of the pictorial information handling domain. A shortened Table of Contents: ------------------------------ Chapter I. Picture processing in humans and machines 1 ---------- I.1 Picture information systems 2 I.2 Computer picture processing systems 9 I.3 Discrete picture processing 14 I.4 Discrete image analysis 29 I.5 Scene interpretation and understanding 39 I.6 Diagrammatics 49 Chapter II. Diagrammatics: an introduction 51 ----------- II.1 Knowledge representation 52 II.1.1 Analogical versus propositional representations 52 II.1.3 Diagrammatic representation 70 II.1.4 The field of diagrammatics 73 II.2 Visual languages 75 II.2.1 Visual vocabulary and syntax 77 II.2.2 Expressiveness of visual languages 80 II.2.3 Pragmatic criteria 82 II.3 Diagrammatic representations 85 II.3.1 Advantages of diagrammatic representations 86 II.3.2 Problems with diagrammatic representations 92 II.3.3 Diagram application modes 106 II.4 Diagrammatic reasoning 109 II.4.1 Quantitative and qualitative reasoning 112 II.4.2 Emergence 118 II.4.3 Divergence 124 II.5 Diagrams in mathematics 132 II.5.1 Are diagrams difficult? 133 II.5.2 Are diagrams unreliable? 135 II.5.3 Are diagrams intrinsically informal? 138 II.5.4 Visual languages of mathematics 142 II.6 Computer implementation of diagrams 151 II.6.1 Diagram input 151 II.6.2 Internal diagram representation 152 II.6.3 Diagram output 156 II.6.4 Diagrammatic spreadsheet concept 157 Chapter III. Diagrammatic interval algebra 161 ------------ III.1 Interval algebra and computation 162 III.1.1 Calculating with intervals 164 III.1.2 Applications of interval computation 169 III.1.3 Diagrams for interval algebra 171 III.2 Interval space diagrams 173 III.2.1 The E-diagram and other proposals 173 III.2.2 The MR-diagram 174 III.2.3 Basic uses of the MR-diagram 176 III.3 Interval relations 183 III.3.1 Arrangement interval relations 184 III.3.2 The W-diagram and L-diagram 186 III.3.3 Convex interval relations 189 III.3.4 Pointisable interval relations 196 III.3.5 Non-arrangement interval relations 201 III.4 Interval arithmetic 203 III.4.1 Interval addition, negation and subtraction 203 III.4.2 Interval multiplication 208 III.4.3 Interval inverse and division 216 III.5 Interval linear equations 222 III.5.1 Linear equations or relational expressions? 222 III.5.2 The one-dimensional relational expression 223 III.5.3 The two-dimensional relational expression 239 III.5.4 Generalization to n dimensions 261 III.5.5 Avenues for further research 264 Bibliography: author's publications 271 Bibliography: other publications 281 Appendix: English-Polish dictionary of basic terms 297 ------------------------------ For more details and ordering information, see: http://www.ippt.gov.pl/~zkulpa/diagrams/fpptid.html ---------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 23 12:32:01 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8NHW0w04196 for reliable_computing-outgoing; Tue, 23 Sep 2003 12:32:00 -0500 (CDT) Received: from ohsmtp03.ogw.rr.com (ohsmtp03.ogw.rr.com [65.24.7.38]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8NHVsS04192 for ; Tue, 23 Sep 2003 12:31:54 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp03.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8NHVfIi004149; Tue, 23 Sep 2003 13:31:42 -0400 (EDT) Message-ID: <000e01c381f8$9abe2150$f6ac1841@REM> From: "Ray Moore" To: "Zenon Kulpa" , References: <200309231633.SAA11555 [at] zmit1 [dot] ippt.gov.pl> Subject: Re: From Picture Processing to Interval Diagrams Date: Tue, 23 Sep 2003 13:32:03 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Thanks, Zenon. I read the words, but I didn't see any pictures. ??? Ramon Moore ----- Original Message ----- From: "Zenon Kulpa" To: Sent: Tuesday, September 23, 2003 12:33 PM Subject: From Picture Processing to Interval Diagrams > Let me advertise my new work of possible interest > to the members of this list. > > ------------------------------------------------------------ > Zenon Kulpa: From Picture Processing to Interval Diagrams. > IFTR PAS Reports 4/2003, ix+313 pp., Warsaw 2003. > http://www.ippt.gov.pl/~zkulpa/diagrams/fpptid.html > > The main aim of the work is the development and presentation > of the novel diagrammatic notation for interval algebra > and computation developed by the author, and showing its > usefulness in some areas of interval algebra. Additionally, > as a background for that undertaking, a state of the art > survey and partially novel systematization of basic issues > of diagrammatics is attempted, including a unified framework > for relating various subfields and aspects of the pictorial > information handling domain. > > A shortened Table of Contents: > ------------------------------ > Chapter I. Picture processing in humans and machines 1 > ---------- > I.1 Picture information systems 2 > I.2 Computer picture processing systems 9 > I.3 Discrete picture processing 14 > I.4 Discrete image analysis 29 > I.5 Scene interpretation and understanding 39 > I.6 Diagrammatics 49 > > Chapter II. Diagrammatics: an introduction 51 > ----------- > II.1 Knowledge representation 52 > II.1.1 Analogical versus propositional representations 52 > II.1.3 Diagrammatic representation 70 > II.1.4 The field of diagrammatics 73 > II.2 Visual languages 75 > II.2.1 Visual vocabulary and syntax 77 > II.2.2 Expressiveness of visual languages 80 > II.2.3 Pragmatic criteria 82 > II.3 Diagrammatic representations 85 > II.3.1 Advantages of diagrammatic representations 86 > II.3.2 Problems with diagrammatic representations 92 > II.3.3 Diagram application modes 106 > II.4 Diagrammatic reasoning 109 > II.4.1 Quantitative and qualitative reasoning 112 > II.4.2 Emergence 118 > II.4.3 Divergence 124 > II.5 Diagrams in mathematics 132 > II.5.1 Are diagrams difficult? 133 > II.5.2 Are diagrams unreliable? 135 > II.5.3 Are diagrams intrinsically informal? 138 > II.5.4 Visual languages of mathematics 142 > II.6 Computer implementation of diagrams 151 > II.6.1 Diagram input 151 > II.6.2 Internal diagram representation 152 > II.6.3 Diagram output 156 > II.6.4 Diagrammatic spreadsheet concept 157 > > Chapter III. Diagrammatic interval algebra 161 > ------------ > III.1 Interval algebra and computation 162 > III.1.1 Calculating with intervals 164 > III.1.2 Applications of interval computation 169 > III.1.3 Diagrams for interval algebra 171 > III.2 Interval space diagrams 173 > III.2.1 The E-diagram and other proposals 173 > III.2.2 The MR-diagram 174 > III.2.3 Basic uses of the MR-diagram 176 > III.3 Interval relations 183 > III.3.1 Arrangement interval relations 184 > III.3.2 The W-diagram and L-diagram 186 > III.3.3 Convex interval relations 189 > III.3.4 Pointisable interval relations 196 > III.3.5 Non-arrangement interval relations 201 > III.4 Interval arithmetic 203 > III.4.1 Interval addition, negation and subtraction 203 > III.4.2 Interval multiplication 208 > III.4.3 Interval inverse and division 216 > III.5 Interval linear equations 222 > III.5.1 Linear equations or relational expressions? 222 > III.5.2 The one-dimensional relational expression 223 > III.5.3 The two-dimensional relational expression 239 > III.5.4 Generalization to n dimensions 261 > III.5.5 Avenues for further research 264 > > Bibliography: author's publications 271 > Bibliography: other publications 281 > Appendix: English-Polish dictionary of basic terms 297 > ------------------------------ > > For more details and ordering information, see: > > http://www.ippt.gov.pl/~zkulpa/diagrams/fpptid.html > > ---------------------------------------------------- > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 23 12:56:20 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8NHuJT04321 for reliable_computing-outgoing; Tue, 23 Sep 2003 12:56:19 -0500 (CDT) Received: from zmit1.ippt.gov.pl (zmit1.ippt.gov.pl [148.81.53.8]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8NHuDS04317 for ; Tue, 23 Sep 2003 12:56:14 -0500 (CDT) Received: (from zkulpa@localhost) by zmit1.ippt.gov.pl (8.8.5/8.7.3-zmit) id TAA11650 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 23 Sep 2003 19:53:52 +0200 (MET DST) Date: Tue, 23 Sep 2003 19:53:52 +0200 (MET DST) From: Zenon Kulpa Message-Id: <200309231753.TAA11650 [at] zmit1 [dot] ippt.gov.pl> To: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: From Picture Processing to Interval Diagrams Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 23 19:32:15 2003 > From: "Ray Moore" > > Thanks, Zenon. I read the words, but I didn't see any pictures. ??? > That is intentional. Cant't reveal all the assets prematurely... ;-) -- Zenon Kulpa From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 06:56:08 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TBu8A12698 for reliable_computing-outgoing; Mon, 29 Sep 2003 06:56:08 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TBu5012693 for reliable_computing [at] interval [dot] louisiana.edu; Mon, 29 Sep 2003 06:56:05 -0500 (CDT) Received: from mail0.rawbw.com (mail0.rawbw.com [198.144.192.41]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8T6b7S12167 for ; Mon, 29 Sep 2003 01:37:08 -0500 (CDT) Received: from vision.caltech.edu (m208-66.dsl.rawbw.com [198.144.208.66]) by mail0.rawbw.com (8.11.6p2/8.11.6) with ESMTP id h8T6akJ28823 for ; Sun, 28 Sep 2003 23:36:48 -0700 (PDT) Message-ID: <3F7BD08F.8000401 [at] vision [dot] caltech.edu> Date: Thu, 02 Oct 2003 00:15:27 -0700 From: Arrigo Benedetti User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.5b) Gecko/20030903 Thunderbird/0.2 X-Accept-Language: en-us, en MIME-Version: 1.0 To: reliable_computing [at] interval [dot] louisiana.edu Subject: Major advance in interval analysis is patented! Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear all, before leaving Caltech about one year ago I was told of two breakthroughs in interval analysis by Marcel Gavriliu, a graduate student in the Caltech computer graphics group, and his advisor Al Barr. At that time I was given very vague information and the authors did not have any papers published yet, so I did not see any reason for divulging this information. A few days ago, however, a Google search turned up a US patent entitled ''Efficent method of identifying non-solution or non-optimal regions of the domain of a function'' ! The link to the patent text is: http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnetahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gavriliu&RS=gavriliu From this link you can also download the images of the patent, which seems to be quite detailed and also contains some proofs! From this message we can get some additional information about the two alleged advancements: http://www.cs.washington.edu/masters/hype/0028.html If this is indeed a major new result, isn't it ironic that it comes from researchers that are not from the interval community? Happy reading! -Arrigo Benedetti From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 08:19:51 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TDJp712903 for reliable_computing-outgoing; Mon, 29 Sep 2003 08:19:51 -0500 (CDT) Received: from ohsmtp02.ogw.rr.com (ohsmtp02.ogw.rr.com [65.24.7.37]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TDJkS12899 for ; Mon, 29 Sep 2003 08:19:47 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp02.ogw.rr.com (8.12.5/8.12.2) with SMTP id h8TDJi2t000641; Mon, 29 Sep 2003 09:19:44 -0400 (EDT) Message-ID: <000a01c3868c$65557a70$f6ac1841@REM> From: "Ray Moore" To: "Arrigo Benedetti" , References: <3F7BD08F.8000401 [at] vision [dot] caltech.edu> Subject: Re: Major advance in interval analysis is patented! Date: Mon, 29 Sep 2003 09:19:45 -0400 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Arrigo, Thanks for the information and the links. I do have one comment. You wrote, below: " If this is indeed a major new result, isn't it ironic that it comes from researchers that are not from the interval community?" Well, it depends on what you mean by "comes from". In the patent text you will find: "0005] A widely used technique in these searching methods is the use of interval analysis to determine if a region does or does not contain a solution. Interval analysis is a branch of applied mathematics that originated with the work of R. E. Moore in the 1960s. See, e.g., Moore, R. E., Interval Analysis, Prentice Hall, 1966. In interval analysis, functions known as inclusion functions are used to determine the range of the function output which results from input variables which are imprecise or expressed in terms of intervals, ranges or regions. The output range is then examined to determine if it contains or does not contain a solution (minimum or maximum) of the function. If not, the corresponding intervals, ranges or regions of the input variables are excluded from further consideration. However, intervals, ranges or regions which include possible solutions may then be subdivided, typically using a binary subdivision technique, and additional iterations of the searching algorithm performed on the subdivided areas. The iterations may continue until a solution is located or the search is exhausted." The patent concerns a new form of inclusion functions, the "corner Taylor form", for multivariate polynomials useful in computer graphics; that and pruning, using first order Taylor models. best regards, Ray (Ramon) Moore ----- Original Message ----- From: "Arrigo Benedetti" To: Sent: Thursday, October 02, 2003 3:15 AM Subject: Major advance in interval analysis is patented! > Dear all, > > before leaving Caltech about one year ago I was told of two > breakthroughs in interval analysis by Marcel Gavriliu, a graduate > student in the Caltech computer graphics group, and his advisor Al Barr. > At that time I was given very vague information and the authors did not > have any papers published yet, so I did not see any reason for divulging > this information. > A few days ago, however, a Google search turned up a US patent entitled > ''Efficent method of identifying non-solution or non-optimal regions of > the domain of a function'' ! > The link to the patent text is: > > http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnetahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gavriliu&RS=gavriliu > > From this link you can also download the images of the patent, which > seems to be quite detailed and also contains some proofs! > > From this message we can get some additional information about the two > alleged advancements: > > http://www.cs.washington.edu/masters/hype/0028.html > > If this is indeed a major new result, isn't it ironic that it comes from > researchers that are not from the interval community? > > Happy reading! > > -Arrigo Benedetti > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 10:36:29 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TFaT413180 for reliable_computing-outgoing; Mon, 29 Sep 2003 10:36:29 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TFaMS13176 for ; Mon, 29 Sep 2003 10:36:23 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8TFaHg14700; Mon, 29 Sep 2003 09:36:17 -0600 (MDT) Message-Id: <200309291536.h8TFaHg14700 [at] cs [dot] utep.edu> Date: Mon, 29 Sep 2003 09:36:17 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: Major advance in interval analysis is patented! To: reliable_computing [at] interval [dot] louisiana.edu, arrigo [at] bologna [dot] vision.caltech.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: sDYZuXbTkd1niZVgZZzGEA== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, It is always good to hear about a new result. On the other hand, Computer science community has mixed feelings about software and algorithm patents. At best, it means that everyone using the patented algorithm has to pay. Moreover, even if you modify this algorithm, you still have to pay. It sounds reasonable when we talk about a part of the commerical product, but it sounds very unfair when lawyer require payment from the universities. Most algorithms are not patented, so people who patent algorithms are using, for free, algorithms invented by others, while at the same time, demanding (often in a nasty lawsuit-threatening way) the payment. I may be a little bit exaggerating but it looks like every other issue of Communications of the ACM, computer science professional society, has horror stories about it. At worst, the algorithm that is patented does not go thorugh as harsh an analysis as a peer-refereed published paper, because all the patent office is interested in is novelty, so a patent is often given for an idea that would not be publishable at all. Examples: one-click access that turned out to be patented that is why every time we use amazon.com, we have to go thorugh several clicks. From the software viewpoint, it is as easy to get it with one click as with two, so I do not think anyone would publish that paper. Re this particular algorithm: sounds reasonable, but it is a little bit strange that only 1960 Moore book is cited in State-of-the-Art (I may have missed other references). Certainly a paper that cites only 1966 Moore book as state-of-the-art will be laughed out of publication. Since the algorithm is there, maybe Arnold Neumaier or Martin Berz can tell us how better it is (and is it). Vladik P.S. I do not mean to demean the author's results, and Caltech has high enough status to produce good work, my rants are mainly against algorithm patents in general. I would take my words back if anyone on the interval community (in and out of the mailing list) really reviewed this patent. If yes, maybe that someone can stand up and explain how this algorithm is better, thus sparing Arnold and/or Martin the effort. If no specialist reviewed this and it was only reviewed by lawyers then I rest my case. Maybe there is a peer-reviewed publication? I checked Google could not find it but I may have missed it. > Date: Thu, 02 Oct 2003 00:15:27 -0700 > From: Arrigo Benedetti > User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.5b) Gecko/20030903 Thunderbird/0.2 > X-Accept-Language: en-us, en > MIME-Version: 1.0 > To: reliable_computing [at] interval [dot] louisiana.edu > Subject: Major advance in interval analysis is patented! > Content-Transfer-Encoding: 7bit > > Dear all, > > before leaving Caltech about one year ago I was told of two > breakthroughs in interval analysis by Marcel Gavriliu, a graduate > student in the Caltech computer graphics group, and his advisor Al Barr. > At that time I was given very vague information and the authors did not > have any papers published yet, so I did not see any reason for divulging > this information. > A few days ago, however, a Google search turned up a US patent entitled > ''Efficent method of identifying non-solution or non-optimal regions of > the domain of a function'' ! > The link to the patent text is: > > http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnet ahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gavri liu&RS=gavriliu > > From this link you can also download the images of the patent, which > seems to be quite detailed and also contains some proofs! > > From this message we can get some additional information about the two > alleged advancements: > > http://www.cs.washington.edu/masters/hype/0028.html > > If this is indeed a major new result, isn't it ironic that it comes from > researchers that are not from the interval community? > > Happy reading! > > -Arrigo Benedetti > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 10:43:50 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TFhoJ13278 for reliable_computing-outgoing; Mon, 29 Sep 2003 10:43:50 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TFhiS13274 for ; Mon, 29 Sep 2003 10:43:45 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8TFhdi14821; Mon, 29 Sep 2003 09:43:39 -0600 (MDT) Message-Id: <200309291543.h8TFhdi14821 [at] cs [dot] utep.edu> Date: Mon, 29 Sep 2003 09:43:40 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: Major advance in interval analysis is patented! To: reliable_computing [at] interval [dot] louisiana.edu, arrigo [at] bologna [dot] vision.caltech.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: LTYbQLTLMYdawV7He1lueg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Maybe Jeff Tupper can look into this too since this work is related to computer graphics? > Date: Thu, 02 Oct 2003 00:15:27 -0700 > From: Arrigo Benedetti > User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.5b) Gecko/20030903 Thunderbird/0.2 > X-Accept-Language: en-us, en > MIME-Version: 1.0 > To: reliable_computing [at] interval [dot] louisiana.edu > Subject: Major advance in interval analysis is patented! > Content-Transfer-Encoding: 7bit > > Dear all, > > before leaving Caltech about one year ago I was told of two > breakthroughs in interval analysis by Marcel Gavriliu, a graduate > student in the Caltech computer graphics group, and his advisor Al Barr. > At that time I was given very vague information and the authors did not > have any papers published yet, so I did not see any reason for divulging > this information. > A few days ago, however, a Google search turned up a US patent entitled > ''Efficent method of identifying non-solution or non-optimal regions of > the domain of a function'' ! > The link to the patent text is: > > http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnet ahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gavri liu&RS=gavriliu > > From this link you can also download the images of the patent, which > seems to be quite detailed and also contains some proofs! > > From this message we can get some additional information about the two > alleged advancements: > > http://www.cs.washington.edu/masters/hype/0028.html > > If this is indeed a major new result, isn't it ironic that it comes from > researchers that are not from the interval community? > > Happy reading! > > -Arrigo Benedetti > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 11:41:33 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TGfWh13486 for reliable_computing-outgoing; Mon, 29 Sep 2003 11:41:32 -0500 (CDT) Received: from mail2.bllvwa.cablespeed.com (smtp2.bllvwa.cablespeed.com [66.235.59.9]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h8TGfQS13482 for ; Mon, 29 Sep 2003 11:41:27 -0500 (CDT) Received: (qmail 21085 invoked by uid 0); 29 Sep 2003 16:40:31 -0000 Received: from unknown (HELO Desktop) (66.235.19.84) by 0 with SMTP; 29 Sep 2003 16:40:31 -0000 Message-ID: <001301c386a8$57c9b350$0200a8c0@Desktop> From: "Eric Fleegal" To: "Arrigo Benedetti" , "Ray Moore" Cc: References: <3F7BD08F.8000401 [at] vision [dot] caltech.edu> <000a01c3868c$65557a70$f6ac1841@REM> Subject: Re: Major advance in interval analysis is patented! Date: Mon, 29 Sep 2003 09:40:02 -0700 MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Last Friday (9/29/03) Marcel Gavriliu of caltech presented a colloquim at Microsoft (University of Washington students and faculty were also invited). Brian Guenter, of MS research, was the host researcher at MS and may be able to provide more information. His homepage is http://research.microsoft.com/users/bguenter/. Interestingly, during the talk Marcel did not disclose that caltech was pursuing a patent on his work. Later Eric Fleegal ----------- more info ---------- From: Jennifer Janzen To: ms-talks [at] cs [dot] washington.edu ; ms-talks [at] stat [dot] washington.edu Cc: Brian Guenter ; Christy Buhner ; Jennifer Janzen Sent: Tuesday, September 23, 2003 4:33 PM Subject: 9/26/2003 Steps Towards More Efficient Interval Analysis: CornerForms and First Order Taylor Models for Systems of Nonlinear Equations andConstrained Optimization; Marcel Gavriliu - Caltech You are invited to attend . . . ****************************************************************************** ************************** WHO: Marcel Gavriliu AFFILIATION: Caltech TITLE: Steps Towards More Efficient Interval Analysis: Corner Forms and First Order Taylor Models for Systems of Nonlinear Equations and Constrained Optimization WHEN: Fri 9/26/2003 WHERE: 113/1159 Research Lecture Room TIME: 10:30AM-12:00PM HOST: Brian Guenter CONTACT: Jennifer Janzen (jennifer [at] microsoft [dot] com) NOTE: If attending, e-mail your name and UW affiliation to above contact. Directions are on the web clicking on "About MSR" at http://www.research.microsoft.com ****************************************************************************** ********************************** ABSTRACT: The trend towards replacing costly tests and experiments with computer simulations prompts the need for reliable and efficient self-verified numerical algorithms. Interval analysis, introduced by Moore in the 1960's, provides a natural framework for self-verified numerical computing. Algorithms using interval analysis have been developed to address a wide variety of problems, such as the computation of global roots of linear and non-linear systems of equations, constrained and unconstrained global optimization problems, ODE's, DAE's, and others, with applications ranging from computer graphics to financial modeling to particle physics to space exploration. In spite all its power and relative simplicity, interval analysis became more of an academic curiosity rather than a widely used practical tool. The main reason for this is that interval analysis is perceived as grossly inefficient when compared to its standard (unverified) numerical counterparts. Fortunately, these shortcomings are not fundamental. This talk surveys the current state of the art in interval analysis and introduces two important advances recently made at Caltech, which can dramatically improve the efficiency of a wide class of interval analytic methods. Our first contribution is a special type of Taylor form inclusion function called the corner Taylor form for multivariate polynomials. In the general setting of multivariate polynomials with interval coefficients, we show that the corner Taylor form is inclusion isotonic and always has less excess width than the corresponding natural extension (two of the limitations of the centered and Taylor/Bernstein/Chebychev forms). For polynomials with real coefficients we derive a closed form polynomial expression for the magnitude of the local reduction in the excess width of the corner Taylor form with respect to the natural extension. The new concept of posynomial decomposition provides the tools needed to prove that the excess width of the corner Taylor form inclusion function has quadratic or higher order of convergence (as the width of the input intervals goes to zero) without resorting to Lipschitz like arguments. It also provides closed form expressions for computing the exact order of convergence of the excess width as well as the magnitude of the improvement over the natural extension for any given polynomial and input interval. In practice, we achieve as much as 100 times reduction in execution times and memory usage over the natural extension. Our second contribution replaces standard binary search at the core of standard interval analytic root and optimization algorithms. The new algorithm requires order of the square root the number of steps previously needed, i.e. 1000 steps replace 1,000,000 steps. This is a very significant improvement, which in practice allows us to solve the same problem much faster, or new larger problems with twice as many variables. The amount of required memory is also reduced by order of the square root, i.e. only need 1MB where before I needed 1GB. The improvement is achieved by using first order Taylor models to quickly prune away regions where solutions are known not to exist. If one seeks solutions of univariate problems, it is possible to use Taylor models of degree up to and including 4, for an improvement of the order of the fifth root, i.e. 10^10 steps become 100 steps. BIO: Not Available ----- Original Message ----- From: "Ray Moore" To: "Arrigo Benedetti" ; Sent: Monday, September 29, 2003 6:19 AM Subject: Re: Major advance in interval analysis is patented! Dear Arrigo, Thanks for the information and the links. I do have one comment. You wrote, below: " If this is indeed a major new result, isn't it ironic that it comes from researchers that are not from the interval community?" Well, it depends on what you mean by "comes from". In the patent text you will find: "0005] A widely used technique in these searching methods is the use of interval analysis to determine if a region does or does not contain a solution. Interval analysis is a branch of applied mathematics that originated with the work of R. E. Moore in the 1960s. See, e.g., Moore, R. E., Interval Analysis, Prentice Hall, 1966. In interval analysis, functions known as inclusion functions are used to determine the range of the function output which results from input variables which are imprecise or expressed in terms of intervals, ranges or regions. The output range is then examined to determine if it contains or does not contain a solution (minimum or maximum) of the function. If not, the corresponding intervals, ranges or regions of the input variables are excluded from further consideration. However, intervals, ranges or regions which include possible solutions may then be subdivided, typically using a binary subdivision technique, and additional iterations of the searching algorithm performed on the subdivided areas. The iterations may continue until a solution is located or the search is exhausted." The patent concerns a new form of inclusion functions, the "corner Taylor form", for multivariate polynomials useful in computer graphics; that and pruning, using first order Taylor models. best regards, Ray (Ramon) Moore ----- Original Message ----- From: "Arrigo Benedetti" To: Sent: Thursday, October 02, 2003 3:15 AM Subject: Major advance in interval analysis is patented! > Dear all, > > before leaving Caltech about one year ago I was told of two > breakthroughs in interval analysis by Marcel Gavriliu, a graduate > student in the Caltech computer graphics group, and his advisor Al Barr. > At that time I was given very vague information and the authors did not > have any papers published yet, so I did not see any reason for divulging > this information. > A few days ago, however, a Google search turned up a US patent entitled > ''Efficent method of identifying non-solution or non-optimal regions of > the domain of a function'' ! > The link to the patent text is: > > http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnetahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gav riliu&RS=gavriliu > > From this link you can also download the images of the patent, which > seems to be quite detailed and also contains some proofs! > > From this message we can get some additional information about the two > alleged advancements: > > http://www.cs.washington.edu/masters/hype/0028.html > > If this is indeed a major new result, isn't it ironic that it comes from > researchers that are not from the interval community? > > Happy reading! > > -Arrigo Benedetti > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 12:00:17 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TH0Gv13616 for reliable_computing-outgoing; Mon, 29 Sep 2003 12:00:16 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TH0BS13612 for ; Mon, 29 Sep 2003 12:00:11 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8TGpfi15520; Mon, 29 Sep 2003 10:51:41 -0600 (MDT) Message-Id: <200309291651.h8TGpfi15520 [at] cs [dot] utep.edu> Date: Mon, 29 Sep 2003 10:51:41 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: Major advance in interval analysis is patented! To: arrigo [at] bologna [dot] vision.caltech.edu, rmoore17 [at] columbus [dot] rr.com, ericflee [at] cablespeed [dot] com Cc: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: d3PZYqHgTFHiKyFZJcCcYg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk The patent issue is CalTech policy, I may disagree or agree, it has nop bearing on Marcel because it is clearly not Marcel's decision to make. As a student or a recent student he hardly would be able to come up with 10^4 or more dollars to file a patent. Irrespective of the policy, it is always a good idea if someone has new ideas and results. We should clearly invite him to attend our meetings and to submit to our journals. Arrigo, do you by any chance know where he is? Is he still a student at Caltech? How can we contact him? I tried Google it lists his webpage but that webpage does not work :-( Vladik > From: "Eric Fleegal" > To: "Arrigo Benedetti" , "Ray Moore" > Cc: > Subject: Re: Major advance in interval analysis is patented! > Date: Mon, 29 Sep 2003 09:40:02 -0700 > MIME-Version: 1.0 > Content-Transfer-Encoding: 7bit > X-Priority: 3 > X-MSMail-Priority: Normal > X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 > > Last Friday (9/29/03) Marcel Gavriliu of caltech presented a colloquim at > Microsoft (University of Washington students and faculty were also invited). > > Brian Guenter, of MS research, was the host researcher at MS and may be able > to provide more information. His homepage is > http://research.microsoft.com/users/bguenter/. > > Interestingly, during the talk Marcel did not disclose that caltech was > pursuing a patent on his work. > > Later > Eric Fleegal > > ----------- more info ---------- > From: Jennifer Janzen > To: ms-talks [at] cs [dot] washington.edu ; ms-talks [at] stat [dot] washington.edu > Cc: Brian Guenter ; Christy Buhner ; Jennifer Janzen > Sent: Tuesday, September 23, 2003 4:33 PM > Subject: 9/26/2003 Steps Towards More Efficient Interval Analysis: CornerForms > and First Order Taylor Models for Systems of Nonlinear Equations > andConstrained Optimization; Marcel Gavriliu - Caltech > > > You are invited to attend . . . > ****************************************************************************** > ************************** > WHO: Marcel Gavriliu > AFFILIATION: Caltech > TITLE: Steps Towards More Efficient Interval Analysis: Corner > Forms and First Order Taylor Models for Systems of Nonlinear Equations and > Constrained Optimization > WHEN: Fri 9/26/2003 > WHERE: 113/1159 Research Lecture Room > TIME: 10:30AM-12:00PM > HOST: Brian Guenter > CONTACT: Jennifer Janzen (jennifer [at] microsoft [dot] com) > NOTE: If attending, e-mail your name and UW affiliation to above > contact. Directions are on the web clicking on "About MSR" at > http://www.research.microsoft.com > ****************************************************************************** > ********************************** > ABSTRACT: > The trend towards replacing costly tests and experiments with computer > simulations prompts the need for reliable and efficient self-verified > numerical algorithms. Interval analysis, introduced by Moore in the 1960's, > provides a natural framework for self-verified numerical computing. Algorithms > using interval analysis have been developed to address a wide variety of > problems, such as the computation of global roots of linear and non-linear > systems of equations, constrained and unconstrained global optimization > problems, ODE's, DAE's, and others, with applications ranging from computer > graphics to financial modeling to particle physics to space exploration. In > spite all its power and relative simplicity, interval analysis became more of > an academic curiosity rather than a widely used practical tool. The main > reason for this is that interval analysis is perceived as grossly inefficient > when compared to its standard (unverified) numerical counterparts. > Fortunately, these shortcomings are not fundamental. This talk surveys the > current state of the art in interval analysis and introduces two important > advances recently made at Caltech, which can dramatically improve the > efficiency of a wide class of interval analytic methods. Our first > contribution is a special type of Taylor form inclusion function called the > corner Taylor form for multivariate polynomials. In the general setting of > multivariate polynomials with interval coefficients, we show that the corner > Taylor form is inclusion isotonic and always has less excess width than the > corresponding natural extension (two of the limitations of the centered and > Taylor/Bernstein/Chebychev forms). For polynomials with real coefficients we > derive a closed form polynomial expression for the magnitude of the local > reduction in the excess width of the corner Taylor form with respect to the > natural extension. The new concept of posynomial decomposition provides the > tools needed to prove that the excess width of the corner Taylor form > inclusion function has quadratic or higher order of convergence (as the width > of the input intervals goes to zero) without resorting to Lipschitz like > arguments. It also provides closed form expressions for computing the exact > order of convergence of the excess width as well as the magnitude of the > improvement over the natural extension for any given polynomial and input > interval. In practice, we achieve as much as 100 times reduction in execution > times and memory usage over the natural extension. Our second contribution > replaces standard binary search at the core of standard interval analytic root > and optimization algorithms. The new algorithm requires order of the square > root the number of steps previously needed, i.e. 1000 steps replace 1,000,000 > steps. This is a very significant improvement, which in practice allows us to > solve the same problem much faster, or new larger problems with twice as many > variables. The amount of required memory is also reduced by order of the > square root, i.e. only need 1MB where before I needed 1GB. The improvement is > achieved by using first order Taylor models to quickly prune away regions > where solutions are known not to exist. If one seeks solutions of univariate > problems, it is possible to use Taylor models of degree up to and including 4, > for an improvement of the order of the fifth root, i.e. 10^10 steps become 100 > steps. > BIO: Not Available > > ----- Original Message ----- > From: "Ray Moore" > To: "Arrigo Benedetti" ; > > Sent: Monday, September 29, 2003 6:19 AM > Subject: Re: Major advance in interval analysis is patented! > > > Dear Arrigo, > > Thanks for the information and the links. I do have one comment. You wrote, > below: > " If this is indeed a major new result, isn't it ironic that it comes from > researchers that are not from the interval community?" > > Well, it depends on what you mean by "comes from". In the patent text you > will find: > > "0005] A widely used technique in these searching methods is the use of > interval analysis to determine if a region does or does not contain a > solution. Interval analysis is a branch of applied mathematics that > originated with the work of R. E. Moore in the 1960s. See, e.g., Moore, R. > E., Interval Analysis, Prentice Hall, 1966. In interval analysis, functions > known as inclusion functions are used to determine the range of the function > output which results from input variables which are imprecise or expressed > in terms of intervals, ranges or regions. The output range is then examined > to determine if it contains or does not contain a solution (minimum or > maximum) of the function. If not, the corresponding intervals, ranges or > regions of the input variables are excluded from further consideration. > However, intervals, ranges or regions which include possible solutions may > then be subdivided, typically using a binary subdivision technique, and > additional iterations of the searching algorithm performed on the subdivided > areas. The iterations may continue until a solution is located or the search > is exhausted." > > The patent concerns a new form of inclusion functions, the "corner Taylor > form", for multivariate polynomials useful in computer graphics; that and > pruning, using first order Taylor models. > > best regards, > > Ray (Ramon) Moore > > > > ----- Original Message ----- > From: "Arrigo Benedetti" > To: > Sent: Thursday, October 02, 2003 3:15 AM > Subject: Major advance in interval analysis is patented! > > > > Dear all, > > > > before leaving Caltech about one year ago I was told of two > > breakthroughs in interval analysis by Marcel Gavriliu, a graduate > > student in the Caltech computer graphics group, and his advisor Al Barr. > > At that time I was given very vague information and the authors did not > > have any papers published yet, so I did not see any reason for divulging > > this information. > > A few days ago, however, a Google search turned up a US patent entitled > > ''Efficent method of identifying non-solution or non-optimal regions of > > the domain of a function'' ! > > The link to the patent text is: > > > > > http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnet ahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gav > riliu&RS=gavriliu > > > > From this link you can also download the images of the patent, which > > seems to be quite detailed and also contains some proofs! > > > > From this message we can get some additional information about the two > > alleged advancements: > > > > http://www.cs.washington.edu/masters/hype/0028.html > > > > If this is indeed a major new result, isn't it ironic that it comes from > > researchers that are not from the interval community? > > > > Happy reading! > > > > -Arrigo Benedetti > > > > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 13:20:09 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TIK8b13802 for reliable_computing-outgoing; Mon, 29 Sep 2003 13:20:08 -0500 (CDT) Received: from yonge.cs.toronto.edu (root [at] yonge [dot] cs.toronto.edu [128.100.1.8]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h8TIK3S13798 for ; Mon, 29 Sep 2003 13:20:03 -0500 (CDT) Received: from jane.cs.toronto.edu ([128.100.2.31]) by yonge.cs.toronto.edu with SMTP id <201066-29263>; Mon, 29 Sep 2003 11:54:04 -0400 Received: from qew.cs.toronto.edu by jane.cs.toronto.edu id <453391-28745>; Mon, 29 Sep 2003 11:53:54 -0400 From: Wayne Hayes To: reliable_computing [at] interval [dot] louisiana.edu Subject: Re: Major advance in interval analysis is patented! Message-Id: <03Sep29.115354edt.453391-28745 [at] jane [dot] cs.toronto.edu> Date: Mon, 29 Sep 2003 11:53:54 -0400 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Vladik writes: >At best, it means that everyone using the patented algorithm has to pay. Not quite. It means that everybody making a *profit* from using the patented algorithm has to pay royalties. Non-profit use is much less restricted, and traditionally has been totally allowed. It's becoming less so now, unfortunately, so your concern is warrented, although it's *probably* not a problem to use a patented algorithm for research purposes. An interesting article about a recent lawsuit involving Duke University using patented technology for research purposes is at http://www.dukemagazine.duke.edu/dukemag/issues/010203/depgaz9.html From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 14:49:50 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TJnoa13940 for reliable_computing-outgoing; Mon, 29 Sep 2003 14:49:50 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TJnjS13936 for ; Mon, 29 Sep 2003 14:49:45 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8TJneS17170; Mon, 29 Sep 2003 13:49:40 -0600 (MDT) Message-Id: <200309291949.h8TJneS17170 [at] cs [dot] utep.edu> Date: Mon, 29 Sep 2003 13:49:41 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: Major advance in interval analysis is patented! To: reliable_computing [at] interval [dot] louisiana.edu, wayne [at] cs [dot] toronto.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: lm1SCaHdwTrZt6/Fn7ZEkA== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Wayne, Thanks for correcting. I did probably put it too strongly. The website you cite cites the recent court ruling according to which the universities have to pay for using patented technology, even if used for non-profit cases, and, unfortunately, one such ruling is enough to make the university to force all of us abide by the rules. I agree that it has always been a practice to allow universities some slack. We can make xerox copies for research purposes. However, you are right, recent lawsuits against universities for letting students donwload music etc. has out a lot of pressure on the university adminsitration, and that pressure goes down to us. RSA, gif files, many things that we normally use, we have to be very careful using. Our university policy for example, is to err on the side of caution and NOT to support any faculty in dubious lawsuits re copyright and other violation. In our university, we had two professors thrown in jail, one for visa violations (helped a foreign student get a visa and then the student went to work outside illegally, with his knowledge), and an art professor for storing pictures of naked people on his computer, because it turned out that some of the pictures depict girls younger than 18. The university was the first to wash their hands off. In Texas A&M University, College Station, there was a known case of a chair of computer science department who spent a year in jail for making "illegal" xerox copies of his own published articles. Of course, the actual reason why the university hit him was that he led a campaign (unsuccessful) against the attempts of Teaxs Leguslature to abolish tenure (we have posttenture review in Texas now), but the pretext was copying. I definitely do not want this to be one more list to discuss legal issues related to computing, I just wanted to show that these issues, even when not many people are actually hit, are serious - some people do get hit hard. Vladik > From: Wayne Hayes > To: reliable_computing [at] interval [dot] louisiana.edu > Subject: Re: Major advance in interval analysis is patented! > Date: Mon, 29 Sep 2003 11:53:54 -0400 > > Vladik writes: > >At best, it means that everyone using the patented algorithm has to pay. > > Not quite. It means that everybody making a *profit* from using the > patented algorithm has to pay royalties. Non-profit use is much less > restricted, and traditionally has been totally allowed. It's becoming > less so now, unfortunately, so your concern is warrented, although it's > *probably* not a problem to use a patented algorithm for research > purposes. > > An interesting article about a recent lawsuit involving Duke University > using patented technology for research purposes is at > > http://www.dukemagazine.duke.edu/dukemag/issues/010203/depgaz9.html From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 15:01:56 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TK1tR14095 for reliable_computing-outgoing; Mon, 29 Sep 2003 15:01:55 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TK1nS14091 for ; Mon, 29 Sep 2003 15:01:49 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8TK1hj17300; Mon, 29 Sep 2003 14:01:43 -0600 (MDT) Message-Id: <200309292001.h8TK1hj17300 [at] cs [dot] utep.edu> Date: Mon, 29 Sep 2003 14:01:45 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Major advance in interval analysis is patented! To: mg [at] cs [dot] caltech.edu Cc: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: KMs785u/jdhGzYU5n4sgJg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Marcel, We have just got the info, on the 400+ interval computations mailing list, of your new interesting algorithm. For almost all of us, this is the first time that we hear about it. It is always very exciting to have new ideas and new good results. Unfortunately, the only link we have is to the patent which provides some understanding of the algorithms but not as deep as a paper would. If you have any publications, technical reports, etc., we would appreciate references and/or links. We would like to welcome you! You may want to attend our meetings to report on your results and to get into contact with folks who developed similar ideas. Maybe Jeff Tupper who developed interval-based efficient algorithms for graphics and Martin Berz and his group who developed efficient Taylor-series base algorithms for estimating ranges of functions (among other things) would be the best first contacts. My apologies if you are already familiar with their work, but hopefully you amy benefit from other contacts as well. We have a webpage http://www.cs.utep.edu/interval-comp that lists meetings, conferences, software, researchers, etc. (Google for some reason links only to the European mirror site, and that mirror site is a little bit behind because it is upgraded periodically). You are welcome to join the mailing list, the information of how to join is also on the webpage. If you give me your URL, I would be most glad to add your link to the Personalia part of the webpage (I found one on Google but it was not working). Vladik Vladik Kreinovich co-maintainer of the interval computations website ------------- Begin Forwarded Message ------------- Date: Thu, 02 Oct 2003 00:15:27 -0700 From: Arrigo Benedetti User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.5b) Gecko/20030903 Thunderbird/0.2 X-Accept-Language: en-us, en MIME-Version: 1.0 To: reliable_computing [at] interval [dot] louisiana.edu Subject: Major advance in interval analysis is patented! Content-Transfer-Encoding: 7bit Dear all, before leaving Caltech about one year ago I was told of two breakthroughs in interval analysis by Marcel Gavriliu, a graduate student in the Caltech computer graphics group, and his advisor Al Barr. At that time I was given very vague information and the authors did not have any papers published yet, so I did not see any reason for divulging this information. A few days ago, however, a Google search turned up a US patent entitled ''Efficent method of identifying non-solution or non-optimal regions of the domain of a function'' ! The link to the patent text is: http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fnet ahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gavri liu&RS=gavriliu From this link you can also download the images of the patent, which seems to be quite detailed and also contains some proofs! From this message we can get some additional information about the two alleged advancements: http://www.cs.washington.edu/masters/hype/0028.html If this is indeed a major new result, isn't it ironic that it comes from researchers that are not from the interval community? Happy reading! -Arrigo Benedetti ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 15:14:44 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TKEhN14219 for reliable_computing-outgoing; Mon, 29 Sep 2003 15:14:43 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TKEcS14215 for ; Mon, 29 Sep 2003 15:14:39 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h8TKEXc17409; Mon, 29 Sep 2003 14:14:33 -0600 (MDT) Message-Id: <200309292014.h8TKEXc17409 [at] cs [dot] utep.edu> Date: Mon, 29 Sep 2003 14:14:35 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: Major advance in interval analysis is patented! To: reliable_computing [at] interval [dot] louisiana.edu Cc: mg [at] cs [dot] caltech.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: +U+Dz0jkDW/k34/bUzxzMg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Thanks a lot, Warwick! Here is the draft of Marcel's paper. Marcel cites Arnold's recent survey on Taylor techniques so it looks like he is familiar with what we are doing. Vladik ------------- Begin Forwarded Message ------------- Subject: Re: Major advance in interval analysis is patented! From: Warwick Tucker To: Vladik Kreinovich Mime-Version: 1.0 Date: 29 Sep 2003 21:45:48 +0200 Content-Transfer-Encoding: 7bit Dear Vladik, Although Marcel's web page appears to be out of order, you might find the following link interesting: http://www.cs.caltech.edu/~mg/ The paper "corner-2003.pdf" seems to describe the novel methods. Best regards, Warwick -- .................................................................... Warwick Tucker E-mail: warwick [at] math [dot] uu.se Uppsala University Telephone: +46 (0)18-471 32 21 Dept. of Mathematics Telefax: +46 (0)18-471 32 01 Box 480 Uppsala Virtual: http://www.math.uu.se/~warwick SWEDEN Mobile: +46 (0)70-229 84 34 .................................................................... ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 16:35:12 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TLZCp14430 for reliable_computing-outgoing; Mon, 29 Sep 2003 16:35:12 -0500 (CDT) Received: from mailbox.univie.ac.at ([131.130.1.27]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TLZ6S14426 for ; Mon, 29 Sep 2003 16:35:07 -0500 (CDT) Received: from univie.ac.at (edoras.mat.univie.ac.at [131.130.16.104]) by mailbox.univie.ac.at (8.12.10/8.12.10) with ESMTP id h8TLYfLc164740; Mon, 29 Sep 2003 23:34:49 +0200 Message-ID: <3F78A571.7F08FE72 [at] univie [dot] ac.at> Date: Mon, 29 Sep 2003 23:34:41 +0200 From: Arnold Neumaier Organization: University of Vienna X-Mailer: Mozilla 4.79 [en] (X11; U; Linux 2.4.18-27.7.x i686) X-Accept-Language: en, de MIME-Version: 1.0 To: Arrigo Benedetti , reliable_computing [at] interval [dot] louisiana.edu CC: mg Subject: Re: Major advance in interval analysis is patented! References: <3F7BD08F.8000401 [at] vision [dot] caltech.edu> Content-Type: text/plain; charset=iso-8859-15 Content-Transfer-Encoding: 7bit X-DCC-ZID-Univie-Metrics: imap 4243; Body=0 Fuz1=0 Fuz2=0 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Arrigo Benedetti wrote: > > A few days ago, however, a Google search turned up a US patent entitled > ''Efficent method of identifying non-solution or non-optimal regions of > the domain of a function'' ! It is only a patent application, so far. It seems the authors want to get the branch and bound method, centered forms, and exclusion techniques patented. But they fail to quote most of the pertinent literature that contains much of what they appear to claim (details are difficult to understand, and the math in the link is corrupted, at least with my reader - I could not read the images.). It seems that very little of what they claim is new. If such a patent [even if the contents were excellent] would go through, it would be detrimental to the development of interval methods. And - in case the present application would go through, it would be a sign of the poor quality of patent application checking. > From this message we can get some additional information about the two > alleged advancements: > > http://www.cs.washington.edu/masters/hype/0028.html This looks like hype (nomen est omen). Mentioning >> If one seeks solutions of univariate problems, it is possible to use Taylor models of degree up to and including 4, for an improvement of the order of the fifth root, i.e. 10^10 steps become 100 steps. << as a great advance shows that the authors have little experience with good current methods, and compare their gains only against the simple interval evaluation. The method may turn out useful, but this can be seen only by comparing it with other state of the art techniques and not with naive interval evaluation. The patent application says, >>Unfortunately, to date, interval analysis has been applied to certain applications such as computer graphics with mixed results. In particular, the searching methods are still too slow to be viable in such applications because of the real-time constraints that are inherent in these applications. The time and memory requirements of these methods are exponential in the number of digits of precision required as well as in the number of free variables of the functions considered.<< If at all true, this is probably still true after this 'new' invention. >>the new methods proposed here have a time and memory complexity which is the n.sup.th root of that of the corresponding conventional method, where n is the "order" of the method used.<< This holds for all methods, not only the new one - so the claim of reducing work to the square root is apparently based solely on asymptotic comparison with naive interval evaluation + Moore-Skelboe and not on a new breakthrough. The home page of Marcel Gavriliu, http://www.cs.caltech.edu/~mg/ [~ is a tilde] contains http://www.cs.caltech.edu/~mg/corner-2003.pdf with a technical paper and http://www.cs.caltech.edu/~mg/9-2003-MSR/main.pdf with slides giving an overview of what he does: - Taylor expansion around the absolutely smallest corner; no mention that a corner expansion (but with a first order slope expansion only) was already used in http://www.mat.univie.ac.at/~neum/publist.html#encl in 1988. - constraint propagation with a centered form, with second and higher order Taylor terms moved to the constant term; no mention of the notion of constraint propagation; no reference to the above 1988 paper which did this, again for a standard centered form, nor a reference to, or comparison with Numerica, which did the same in book form, with extensive numerical results; no mention of the similar behavior of the linear dominated bounding method of Makino (although this was mentioned in my Taylor paper, which is quoted in the technical paper). - simple (Moore-Skelboe type) branch and bound; no mention of better techniques as covered, e.g., in Kearfott's book. - beam tracing for surface rendering; no mention of the paper by W. Enger, The Visual Computer 9 (1992), 91-104, which reported results of beam tracing on implicit surfaces. - Berz is consistently misspelled in the slides, and Rokne in the paper. It seems that acquaintance with the literature is only very superficial. Apparently most of the news are an old hat. The amount of improvement compared to the state of the art remains unexplored. Just some sidelines: 1. The Caltech Computer graphics group who made the patent application has an interesting home page: http://www.gg.caltech.edu/research_areas.html mentions ''Polynomial Interval Analysis for Computer Graphics'' as one of the research areas (but no link). There is a link called ''Generative Modeling using Interval Analysis''; following it leads to a page that mentions intervals once: >> These operators are all made robust using the powerful mathematical technique of interval analysis, and provide a rich architecture and environment in which to base a modeling system. Details of this work have been published in a 1992 SIGGRAPH paper and John Snyder's 1992 Book.<< The abstract of the book is at http://www.gg.caltech.edu/papers/snyderbook_abstract.html A few more interval papers (from 1992/3) of the group are at http://www.gg.caltech.edu/publications.html 2. A recent book by Ratschek and Rokne on computer graphics and intervals http://www.horwoodpublishing.net/cs_ee/97-7.html This is not really related to the above except that it is also on computer graphics, and quotes Snyder's book several times, but it appears to be of much higher quality than the patent-related stuff. Arnold Neumaier From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Sep 29 16:41:42 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8TLfec14526 for reliable_computing-outgoing; Mon, 29 Sep 2003 16:41:40 -0500 (CDT) Received: from ntmail.ca.metsci.com (neuromancer.ca.metsci.com [199.106.147.5]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TLfYS14522 for ; Mon, 29 Sep 2003 16:41:34 -0500 (CDT) Received: by ntmail.ca.metsci.com with Internet Mail Service (5.5.2653.19) id ; Mon, 29 Sep 2003 14:40:14 -0700 Received: from ca.metsci.com (narwhal.ca.metsci.com [192.168.3.200]) by ntmail.ca.metsci.com with SMTP (Microsoft Exchange Internet Mail Service Version 5.5.2653.13) id TQDNGTPH; Mon, 29 Sep 2003 14:40:03 -0700 From: vaniwaar [at] ca [dot] metsci.com To: Arnold.Neumaier [at] univie [dot] ac.at Cc: reliable_computing [at] interval [dot] louisiana.edu Message-ID: <3F78A6FC.2020006 [at] ca [dot] metsci.com> Date: Mon, 29 Sep 2003 14:41:16 -0700 User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.3) Gecko/20030312 X-Accept-Language: en-us, en MIME-Version: 1.0 Subject: Re: Major advance in interval analysis is patented! References: <3F7BD08F.8000401 [at] vision [dot] caltech.edu> <3F78A571.7F08FE72 [at] univie [dot] ac.at> In-Reply-To: <3F78A571.7F08FE72 [at] univie [dot] ac.at> Content-Type: text/plain; charset=us-ascii; format=flowed Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Arnold Neumaier wrote: >Arrigo Benedetti wrote: > > >>A few days ago, however, a Google search turned up a US patent entitled >>''Efficent method of identifying non-solution or non-optimal regions of >>the domain of a function'' ! >> >> > >It is only a patent application, so far. It seems the authors want to >get the branch and bound method, centered forms, and exclusion >techniques patented. > >But they fail to quote most of the pertinent literature that contains >much of what they appear to claim (details are difficult to understand, >and the math in the link is corrupted, at least with my reader - I could not >read the images.). It seems that very little of what they claim is >new. > >If such a patent [even if the contents were excellent] would go through, >it would be detrimental to the development of interval methods. And >- in case the present application would go through, it would be a sign >of the poor quality of patent application checking. > > Never underestimate the stupidity of the US Patent and Trademark office: http://patft.uspto.gov/netacgi/nph-Parser?Sect1=PTO1&Sect2=HITOFF&d=PALL&p=1&u=/netahtml/srchnum.htm&r=1&f=G&l=50&s1='6,368,227'.WKU.&OS=PN/6,368,227&RS=PN/6,368,227 *Abstract* A method of swing on a swing is disclosed, in which a user positioned on a standard swing suspended by two chains from a substantially horizontal tree branch induces side to side motion by pulling alternately on one chain and then the other. --Ron > > >> From this message we can get some additional information about the two >>alleged advancements: >> >>http://www.cs.washington.edu/masters/hype/0028.html >> >> > >This looks like hype (nomen est omen). Mentioning > > >>>If one seeks solutions of univariate problems, it is possible to >>> >>> >use Taylor models of degree up to and including 4, for an improvement of the >order of the fifth root, i.e. 10^10 steps become 100 steps. << >as a great advance shows that the authors have little experience with >good current methods, and compare their gains only against the simple >interval evaluation. The method may turn out useful, but this can >be seen only by comparing it with other state of the art techniques >and not with naive interval evaluation. > >The patent application says, > > > >>>Unfortunately, to date, interval analysis has been applied to certain >>> >>> >applications such as computer graphics with mixed results. In particular, >the searching methods are still too slow to be viable in such applications >because of the real-time constraints that are inherent in these >applications. The time and memory requirements of these methods are >exponential in the number of digits of precision required as well as in >the number of free variables of the functions considered.<< > >If at all true, this is probably still true after this 'new' invention. > > > >>>the new methods proposed here have a time and memory complexity which is >>> >>> >the n.sup.th root of that of the corresponding conventional method, where >n is the "order" of the method used.<< > >This holds for all methods, not only the new one - so the claim of >reducing work to the square root is apparently based solely on asymptotic >comparison with naive interval evaluation + Moore-Skelboe and not on a >new breakthrough. > >The home page of Marcel Gavriliu, >http://www.cs.caltech.edu/~mg/ [~ is a tilde] contains >http://www.cs.caltech.edu/~mg/corner-2003.pdf >with a technical paper and >http://www.cs.caltech.edu/~mg/9-2003-MSR/main.pdf >with slides giving an overview of what he does: >- Taylor expansion around the absolutely smallest corner; no mention that >a corner expansion (but with a first order slope expansion only) was already >used in http://www.mat.univie.ac.at/~neum/publist.html#encl >in 1988. >- constraint propagation with a centered form, with second and higher >order Taylor terms moved to the constant term; no mention of the notion >of constraint propagation; no reference to the above 1988 paper which >did this, again for a standard centered form, nor a reference to, >or comparison with Numerica, which did the same in book form, with >extensive numerical results; no mention of the similar behavior of the >linear dominated bounding method of Makino (although this was mentioned >in my Taylor paper, which is quoted in the technical paper). >- simple (Moore-Skelboe type) branch and bound; no mention of better >techniques as covered, e.g., in Kearfott's book. >- beam tracing for surface rendering; no mention of the paper by >W. Enger, The Visual Computer 9 (1992), 91-104, which reported results >of beam tracing on implicit surfaces. >- Berz is consistently misspelled in the slides, and Rokne in the paper. >It seems that acquaintance with the literature is only very superficial. > >Apparently most of the news are an old hat. The amount of >improvement compared to the state of the art remains unexplored. > > > > > >Just some sidelines: > >1. The Caltech Computer graphics group who made the patent application >has an interesting home page: >http://www.gg.caltech.edu/research_areas.html >mentions ''Polynomial Interval Analysis for Computer Graphics'' >as one of the research areas (but no link). >There is a link called ''Generative Modeling using Interval Analysis''; >following it leads to a page that mentions intervals once: > > >>>These operators are all made robust using the powerful mathematical >>> >>> >technique of interval analysis, and provide a rich architecture and >environment in which to base a modeling system. Details of this work have >been published in a 1992 SIGGRAPH paper and John Snyder's 1992 Book.<< >The abstract of the book is at >http://www.gg.caltech.edu/papers/snyderbook_abstract.html >A few more interval papers (from 1992/3) of the group are at >http://www.gg.caltech.edu/publications.html > >2. A recent book by Ratschek and Rokne on computer graphics and intervals >http://www.horwoodpublishing.net/cs_ee/97-7.html >This is not really related to the above except that it is also on >computer graphics, and quotes Snyder's book several times, but it >appears to be of much higher quality than the patent-related stuff. > >Arnold Neumaier > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 00:45:19 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8U5jI315088 for reliable_computing-outgoing; Tue, 30 Sep 2003 00:45:18 -0500 (CDT) Received: from cmsrelay01.mx.net (cmsrelay01.mx.net [165.212.11.110]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h8U5jBS15084 for ; Tue, 30 Sep 2003 00:45:11 -0500 (CDT) Received: from uadvg137.cms.usa.net (165.212.11.137) by cmsoutbound.mx.net with SMTP; 30 Sep 2003 05:44:52 -0000 Received: from uwdvg018.cms.usa.net [165.212.8.18] by uadvg137.cms.usa.net (ASMTP/) via mtad (C8.MAIN.3.11E) with ESMTP id 222HidFSv0065M37; Tue, 30 Sep 2003 05:44:48 GMT X-USANET-Auth: 165.212.8.18 AUTO musayev [at] usa [dot] net uwdvg018.cms.usa.net Received: from 12.230.156.246 [12.230.156.246] by uwdvg018.cms.usa.net (USANET web-mailer CM.0402.6.08); Tue, 30 Sep 2003 05:44:46 -0000 Date: Mon, 29 Sep 2003 22:44:46 -0700 From: ELDAR MUSAYEV To: , Subject: Re: [Re: Major advance in interval analysis is patented!] CC: X-Mailer: USANET web-mailer (CM.0402.6.08) Mime-Version: 1.0 Message-ID: <878HidFSU6048S18.1064900686 [at] uwdvg018 [dot] cms.usa.net> Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h8U5jCS15085 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk It is very likely to go through as patent office quality of verification is not quite good (and they know about that.) If it will affect interval community, somebody of respectable and reputable members of this community (Arnold, with more than 20 years in interval analysis you fit this role 100%!) should write to the patent office pointing out to the prior art/work, because it's simpler to prevent this from happenning then fight later. It's better if such letter will come from a university member rather than industry as, I believe, this yields more credibility. Also it may be worth to refer in the letter to several other people from some universities who may confirm the opinion. Just my 2 cents, Regards, Eldar vaniwaar [at] ca [dot] metsci.com wrote: > Arnold Neumaier wrote: > > >Arrigo Benedetti wrote: > > > > > >>A few days ago, however, a Google search turned up a US patent entitled > >>''Efficent method of identifying non-solution or non-optimal regions of > >>the domain of a function'' ! > >> > >> > > > >It is only a patent application, so far. It seems the authors want to > >get the branch and bound method, centered forms, and exclusion > >techniques patented. > > > >But they fail to quote most of the pertinent literature that contains > >much of what they appear to claim (details are difficult to understand, > >and the math in the link is corrupted, at least with my reader - I could not > >read the images.). It seems that very little of what they claim is > >new. > > > >If such a patent [even if the contents were excellent] would go through, > >it would be detrimental to the development of interval methods. And > >- in case the present application would go through, it would be a sign > >of the poor quality of patent application checking. > > > > > Never underestimate the stupidity of the US Patent and Trademark office: > http://patft.uspto.gov/netacgi/nph-Parser?Sect1=PTO1&Sect2=HITOFF&d=PALL&p=1&u=/netahtml/srchnum.htm&r=1&f=G&l=50&s1='6,368,227'.WKU.&OS=PN/6,368,227&RS=PN/6,368,227 > > *Abstract* > > A method of swing on a swing is disclosed, in which a user positioned on > a standard swing suspended by two chains from a substantially horizontal > tree branch induces side to side motion by pulling alternately on one > chain and then the other. > > --Ron > > > > > > >> From this message we can get some additional information about the two > >>alleged advancements: > >> > >>http://www.cs.washington.edu/masters/hype/0028.html > >> > >> > > > >This looks like hype (nomen est omen). Mentioning > > > > > >>>If one seeks solutions of univariate problems, it is possible to > >>> > >>> > >use Taylor models of degree up to and including 4, for an improvement of the > >order of the fifth root, i.e. 10^10 steps become 100 steps. << > >as a great advance shows that the authors have little experience with > >good current methods, and compare their gains only against the simple > >interval evaluation. The method may turn out useful, but this can > >be seen only by comparing it with other state of the art techniques > >and not with naive interval evaluation. > > > >The patent application says, > > > > > > > >>>Unfortunately, to date, interval analysis has been applied to certain > >>> > >>> > >applications such as computer graphics with mixed results. In particular, > >the searching methods are still too slow to be viable in such applications > >because of the real-time constraints that are inherent in these > >applications. The time and memory requirements of these methods are > >exponential in the number of digits of precision required as well as in > >the number of free variables of the functions considered.<< > > > >If at all true, this is probably still true after this 'new' invention. > > > > > > > >>>the new methods proposed here have a time and memory complexity which is > >>> > >>> > >the n.sup.th root of that of the corresponding conventional method, where > >n is the "order" of the method used.<< > > > >This holds for all methods, not only the new one - so the claim of > >reducing work to the square root is apparently based solely on asymptotic > >comparison with naive interval evaluation + Moore-Skelboe and not on a > >new breakthrough. > > > >The home page of Marcel Gavriliu, > >http://www.cs.caltech.edu/~mg/ [~ is a tilde] contains > >http://www.cs.caltech.edu/~mg/corner-2003.pdf > >with a technical paper and > >http://www.cs.caltech.edu/~mg/9-2003-MSR/main.pdf > >with slides giving an overview of what he does: > >- Taylor expansion around the absolutely smallest corner; no mention that > >a corner expansion (but with a first order slope expansion only) was already > >used in http://www.mat.univie.ac.at/~neum/publist.html#encl > >in 1988. > >- constraint propagation with a centered form, with second and higher > >order Taylor terms moved to the constant term; no mention of the notion > >of constraint propagation; no reference to the above 1988 paper which > >did this, again for a standard centered form, nor a reference to, > >or comparison with Numerica, which did the same in book form, with > >extensive numerical results; no mention of the similar behavior of the > >linear dominated bounding method of Makino (although this was mentioned > >in my Taylor paper, which is quoted in the technical paper). > >- simple (Moore-Skelboe type) branch and bound; no mention of better > >techniques as covered, e.g., in Kearfott's book. > >- beam tracing for surface rendering; no mention of the paper by > >W. Enger, The Visual Computer 9 (1992), 91-104, which reported results > >of beam tracing on implicit surfaces. > >- Berz is consistently misspelled in the slides, and Rokne in the paper. > >It seems that acquaintance with the literature is only very superficial. > > > >Apparently most of the news are an old hat. The amount of > >improvement compared to the state of the art remains unexplored. > > > > > > > > > > > >Just some sidelines: > > > >1. The Caltech Computer graphics group who made the patent application > >has an interesting home page: > >http://www.gg.caltech.edu/research_areas.html > >mentions ''Polynomial Interval Analysis for Computer Graphics'' > >as one of the research areas (but no link). > >There is a link called ''Generative Modeling using Interval Analysis''; > >following it leads to a page that mentions intervals once: > > > > > >>>These operators are all made robust using the powerful mathematical > >>> > >>> > >technique of interval analysis, and provide a rich architecture and > >environment in which to base a modeling system. Details of this work have > >been published in a 1992 SIGGRAPH paper and John Snyder's 1992 Book.<< > >The abstract of the book is at > >http://www.gg.caltech.edu/papers/snyderbook_abstract.html > >A few more interval papers (from 1992/3) of the group are at > >http://www.gg.caltech.edu/publications.html > > > >2. A recent book by Ratschek and Rokne on computer graphics and intervals > >http://www.horwoodpublishing.net/cs_ee/97-7.html > >This is not really related to the above except that it is also on > >computer graphics, and quotes Snyder's book several times, but it > >appears to be of much higher quality than the patent-related stuff. > > > >Arnold Neumaier > > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 07:27:14 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UCRDi15820 for reliable_computing-outgoing; Tue, 30 Sep 2003 07:27:13 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UCR9F15815 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 30 Sep 2003 07:27:09 -0500 (CDT) Received: from lcyoung.math.wisc.edu (lcyoung.math.wisc.edu [144.92.166.90]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TGMfS13439 for ; Mon, 29 Sep 2003 11:22:41 -0500 (CDT) Received: from ultra7.math.wisc.edu (ultra7.math.wisc.edu [144.92.166.188]) by lcyoung.math.wisc.edu (8.11.6p2-20030921/8.11.6) with ESMTP id h8TGGtn07257; Mon, 29 Sep 2003 11:16:58 -0500 (CDT) Date: Mon, 29 Sep 2003 11:16:55 -0500 (CDT) From: Hans Schneider To: NETS -- at-net , E-LETTER , Pradeep Misra , Shaun Fallat , "na.digest" , ipnet-digest [at] math [dot] msu.edu, Michael.Unser [at] epfl [dot] ch, SIAGLA-DIGEST , hjt [at] eos [dot] ncsu.edu, SMBnet [at] smb [dot] org, vkm [at] eedsp [dot] gatech.edu, reliable_computing [at] interval [dot] louisiana.edu Subject: LAA contents Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-UWMath-MailScanner: Found to be clean Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk * Linear Algebra and its Applications Volume 374, Pages 1-328 (15 November 2003) http://www.sciencedirect.com/science/issue/5653-2003-996259999-457894 TABLE OF CONTENTS Accurate ordering of eigenvectors and singular vectors without eigenvalues and singular values, Pages 1-17 K. V. Fernando Total dilations II, Pages 19-29 Jean-Christophe Bourin The isometries and the G-invariance of certain seminorms, Pages 31-40 Boris Lavri Commutative algebras of rational function matrices as endomorphisms of Kronecker modules I, Pages 41-62 Frank Okoh and Frank Zorzitto Commutative algebras of rational function matrices as endomorphisms of Kronecker modules II, Pages 63-85 Frank Okoh and Frank Zorzitto On the eigenproblem of matrices over distributive lattices, Pages 87-106 Yijia Tan On vector spaces with distinguished subspaces and redundant base, Pages 107-126 Francesco Barioli, Clorinda De Vivo and Claudia Metelli Index of parabolic and seaweed subalgebras of , Pages 127-142 Alexander Dvorsky On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils, Pages 143-158 Huiqing Xie and Hua Dai Characterizations of classes of stable matrices, Pages 159-174 A. Bhaya, E. Kaszkurewicz and R. Santos D-optimal weighing designs for n[equiv]-1 mod4 objects and a large number of weighings, Pages 175-218 Bernardo M. Abrego, Silvia Fernandez-Merchant, Michael G. Neubauer and William Watkins Low rank perturbations and the spectrum of a tridiagonal sign pattern, Pages 219-230 L. Elsner, D. D. Olesky and P. van den Driessche The polynomial numerical hulls of Jordan blocks and related matrices, Pages 231-246 Vance Faber, Anne Greenbaum and Donald E. Marshall Equivalence constants for certain matrix norms, Pages 247-253 Bao Qi Feng Elementary divisors of tensor products and p-ranks of binomial matrices, Pages 255-274 Xiang-Dong Hou Relative volumes and minors in monomial subrings, Pages 275-290 Cesar A. Escobar, Jose Martinez-Bernal and Rafael H. Villarreal Finite linear spaces admitting a projective group PSU(3,q) with q even, Pages 291-305 Weijun Liu On spectral integral variations of mixed graphs, Pages 307-316 Yi-Zheng Fan Simple criteria for nonsingular H-matrices, Pages 317-326 Tai-Bin Gan and Ting-Zhu Huang Author index, Pages 327-328 Editorial board, Pages ii-iii Note: These papers and 90 accepted LAA articles in press are now available to subscribers of Science Direct at http://www.sciencedirect.com/ . From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 07:27:36 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UCRZc15841 for reliable_computing-outgoing; Tue, 30 Sep 2003 07:27:35 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UCRVS15836 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 30 Sep 2003 07:27:31 -0500 (CDT) Received: from earth-ox.its.caltech.edu (SteeleMR-loadb-NAT-49.caltech.edu [131.215.49.69]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TKQFS14336 for ; Mon, 29 Sep 2003 15:26:15 -0500 (CDT) Received: from fire-dog (fire-dog [192.168.1.4]) by earth-ox-postvirus (Postfix) with ESMTP id 271CC109A40; Mon, 29 Sep 2003 13:26:09 -0700 (PDT) Received: from water-ox ([192.168.1.10]) by fire-dog (MailMonitor for SMTP v1.2.2 ) ; Mon, 29 Sep 2003 13:26:08 -0700 (PDT) Received: from interval (interval.caltech.edu [131.215.16.39]) by water-ox.its.caltech.edu (Postfix) with ESMTP id 7C1B826AC52; Mon, 29 Sep 2003 13:26:07 -0700 (PDT) From: "mg" To: "'Vladik Kreinovich'" , Subject: RE: Major advance in interval analysis is patented! Date: Mon, 29 Sep 2003 13:26:15 -0700 Message-ID: <000801c386c7$ee7980e0$2710d783@interval> MIME-Version: 1.0 Content-Type: text/plain; charset="US-ASCII" X-Priority: 3 (Normal) X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook, Build 10.0.4510 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Importance: Normal In-Reply-To: <200309292014.h8TKEXc17409 [at] cs [dot] utep.edu> X-Spam-Status: No, hits=0.0 tagged_above=-100000.0 required=5.0 X-Spam-Level: Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h8TKQFS14337 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Vladik, I would be glad to establish contact with you and your peers. It seems you received a link to my site, which contains some of my work. I am working on another paper which will detail the rest of the methods described in the patent. Incidentally, I presented the work at SCAN 2000. Unfortunately I got very sick right afterwards and was out of commission for almost a year, which is why the papers are only now being prepared. The draft of the corner form paper was submitted to SIAM's J. of Numerical Analysis but was turned down. I appreciate suggestions for improving it as I intend to resubmit it. I have also contacted Arnold Neumaier for suggestions - I hope he will take me seriously. Anyways, let me know how I can be of help. Best regards, Marcel Gavriliu -----Original Message----- From: Vladik Kreinovich [mailto:vladik [at] cs [dot] utep.edu] Sent: Monday, September 29, 2003 1:15 PM To: reliable_computing [at] interval [dot] louisiana.edu Cc: mg [at] cs [dot] caltech.edu Subject: Re: Major advance in interval analysis is patented! Thanks a lot, Warwick! Here is the draft of Marcel's paper. Marcel cites Arnold's recent survey on Taylor techniques so it looks like he is familiar with what we are doing. Vladik ------------- Begin Forwarded Message ------------- Subject: Re: Major advance in interval analysis is patented! From: Warwick Tucker To: Vladik Kreinovich Mime-Version: 1.0 Date: 29 Sep 2003 21:45:48 +0200 Content-Transfer-Encoding: 7bit Dear Vladik, Although Marcel's web page appears to be out of order, you might find the following link interesting: http://www.cs.caltech.edu/~mg/ The paper "corner-2003.pdf" seems to describe the novel methods. Best regards, Warwick -- .................................................................... Warwick Tucker E-mail: warwick [at] math [dot] uu.se Uppsala University Telephone: +46 (0)18-471 32 21 Dept. of Mathematics Telefax: +46 (0)18-471 32 01 Box 480 Uppsala Virtual: http://www.math.uu.se/~warwick SWEDEN Mobile: +46 (0)70-229 84 34 .................................................................... ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 07:27:59 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UCRwu15877 for reliable_computing-outgoing; Tue, 30 Sep 2003 07:27:58 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UCRoI15868 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 30 Sep 2003 07:27:50 -0500 (CDT) Received: from earth-ox.its.caltech.edu (SteeleMR-loadb-NAT-49.caltech.edu [131.215.49.69]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8TMq8S14733 for ; Mon, 29 Sep 2003 17:52:08 -0500 (CDT) Received: from earth-dog (earth-dog [192.168.1.3]) by earth-ox-postvirus (Postfix) with ESMTP id 9E457109A7F; Mon, 29 Sep 2003 15:52:02 -0700 (PDT) Received: from water-ox ([192.168.1.10]) by earth-dog (MailMonitor for SMTP v1.2.2 ) ; Mon, 29 Sep 2003 15:51:59 -0700 (PDT) Received: from interval (interval.caltech.edu [131.215.16.39]) by water-ox.its.caltech.edu (Postfix) with ESMTP id 1B7D326AC0B; Mon, 29 Sep 2003 15:51:59 -0700 (PDT) From: "mg" To: "'Arnold Neumaier'" , "'Arrigo Benedetti'" , Subject: RE: Major advance in interval analysis is patented! Date: Mon, 29 Sep 2003 15:52:06 -0700 Message-ID: <001d01c386dc$4eec9340$2710d783@interval> MIME-Version: 1.0 Content-Type: text/plain; charset="US-ASCII" X-Priority: 3 (Normal) X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook, Build 10.0.4510 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Importance: Normal In-Reply-To: <3F78A571.7F08FE72 [at] univie [dot] ac.at> X-Spam-Status: No, hits=-6.9 tagged_above=-100000.0 required=5.0 tests=EMAIL_ATTRIBUTION, FROM_CALTECH, IN_REP_TO, ORIGINAL_MESSAGE, QUOTED_EMAIL_TEXT, RCVD_IN_OSIRUSOFT_COM, REPLY_WITH_QUOTES X-Spam-Level: Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.louisiana.edu id h8TMq9S14734 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Dr. Neumaier, It seems you wish to put down my work and I wonder why. Perhaps I upset you somehow. You have called me arrogant in an earlier email, which is far from what I am trying to do. However, your comments below seem to be based on superficial reading of incomplete material about my work. Perhaps you could have written me a note asking for clarification of my claims before slamming the work publicly. I would like to address some of your comments: 1. I am not trying to patent branch and bound, centered forms and exclusion. The claims are improved methods replacing branch and bound (or divide and conquer) and inclusion functions with better properties over wide input intervals (about which we have been corresponding for a few days). It is Caltech's policy to patent work they consider significant. The decision was made by Caltech's tech transfer office and my advisor. 1. Although I use the term Taylor model (as they are used in my methods), the significant improvement over branch and bound and divide and conquer methods has nothing to do with better inclusions. The square root improvement does not come from using inclusions of quadratic order vs. ones with linear order. Instead, our method competes with branch and bound and interval Newton. The method was presented in preliminary form at SCAN 2000, under the name tangent descent, and will be the subject of a future paper. The comparisons were made with branch and bound methods using centered form type of inclusion functions as well as Taylor forms similar to what Martin Berz uses in the evaluation of his Taylor models. The LDB and QDB methods apply to any Taylor form and are an enhancement over the intrinsic properties of the form itself. I was going to discuss this method with you, but you said "one at a time." 2. Regarding the above method, it does not eliminate exponential growth, but it halves its exponent (or in the uni-dimensional case, it can reduce the exponent by a factor of 5 - not always more useful in practice than halving it, but that is a different story) 3. I wrote to you asking for pointers of where the state of the art is and which papers I was missing. You told me I was "lazy" and sent me to search on Citeseer. I think that's very mean, especially since you seem to have handy very specific suggestions of papers that I am missing. 4. I am not claiming to have invented Taylor forms. I am simply showing that corner forms have special properties which I can prove when the expansion point is the corner with absolutely smallest value. I expected more enthusiasm in helping out someone who is not "in the field". I mentioned that I had a proof that corner forms were always better than the natural extension for large intervals. I also mentioned that I can change my proof of convergence order to show how to obtain cubic orders near stationary points. I asked for advice on how to write a better paper. To all of this you showed no enthusiasm. I am quite disappointed, no disrespect implied. Regards, Marcel Gavriliu -----Original Message----- From: neum [at] mailbox [dot] univie.ac.at [mailto:neum [at] mailbox [dot] univie.ac.at] On Behalf Of Arnold Neumaier Sent: Monday, September 29, 2003 2:35 PM To: Arrigo Benedetti; reliable_computing [at] interval [dot] louisiana.edu Cc: mg Subject: Re: Major advance in interval analysis is patented! Arrigo Benedetti wrote: > > A few days ago, however, a Google search turned up a US patent entitled > ''Efficent method of identifying non-solution or non-optimal regions of > the domain of a function'' ! It is only a patent application, so far. It seems the authors want to get the branch and bound method, centered forms, and exclusion techniques patented. But they fail to quote most of the pertinent literature that contains much of what they appear to claim (details are difficult to understand, and the math in the link is corrupted, at least with my reader - I could not read the images.). It seems that very little of what they claim is new. If such a patent [even if the contents were excellent] would go through, it would be detrimental to the development of interval methods. And - in case the present application would go through, it would be a sign of the poor quality of patent application checking. > From this message we can get some additional information about the two > alleged advancements: > > http://www.cs.washington.edu/masters/hype/0028.html This looks like hype (nomen est omen). Mentioning >> If one seeks solutions of univariate problems, it is possible to use Taylor models of degree up to and including 4, for an improvement of the order of the fifth root, i.e. 10^10 steps become 100 steps. << as a great advance shows that the authors have little experience with good current methods, and compare their gains only against the simple interval evaluation. The method may turn out useful, but this can be seen only by comparing it with other state of the art techniques and not with naive interval evaluation. The patent application says, >>Unfortunately, to date, interval analysis has been applied to certain applications such as computer graphics with mixed results. In particular, the searching methods are still too slow to be viable in such applications because of the real-time constraints that are inherent in these applications. The time and memory requirements of these methods are exponential in the number of digits of precision required as well as in the number of free variables of the functions considered.<< If at all true, this is probably still true after this 'new' invention. >>the new methods proposed here have a time and memory complexity which is the n.sup.th root of that of the corresponding conventional method, where n is the "order" of the method used.<< This holds for all methods, not only the new one - so the claim of reducing work to the square root is apparently based solely on asymptotic comparison with naive interval evaluation + Moore-Skelboe and not on a new breakthrough. The home page of Marcel Gavriliu, http://www.cs.caltech.edu/~mg/ [~ is a tilde] contains http://www.cs.caltech.edu/~mg/corner-2003.pdf with a technical paper and http://www.cs.caltech.edu/~mg/9-2003-MSR/main.pdf with slides giving an overview of what he does: - Taylor expansion around the absolutely smallest corner; no mention that a corner expansion (but with a first order slope expansion only) was already used in http://www.mat.univie.ac.at/~neum/publist.html#encl in 1988. - constraint propagation with a centered form, with second and higher order Taylor terms moved to the constant term; no mention of the notion of constraint propagation; no reference to the above 1988 paper which did this, again for a standard centered form, nor a reference to, or comparison with Numerica, which did the same in book form, with extensive numerical results; no mention of the similar behavior of the linear dominated bounding method of Makino (although this was mentioned in my Taylor paper, which is quoted in the technical paper). - simple (Moore-Skelboe type) branch and bound; no mention of better techniques as covered, e.g., in Kearfott's book. - beam tracing for surface rendering; no mention of the paper by W. Enger, The Visual Computer 9 (1992), 91-104, which reported results of beam tracing on implicit surfaces. - Berz is consistently misspelled in the slides, and Rokne in the paper. It seems that acquaintance with the literature is only very superficial. Apparently most of the news are an old hat. The amount of improvement compared to the state of the art remains unexplored. Just some sidelines: 1. The Caltech Computer graphics group who made the patent application has an interesting home page: http://www.gg.caltech.edu/research_areas.html mentions ''Polynomial Interval Analysis for Computer Graphics'' as one of the research areas (but no link). There is a link called ''Generative Modeling using Interval Analysis''; following it leads to a page that mentions intervals once: >> These operators are all made robust using the powerful mathematical technique of interval analysis, and provide a rich architecture and environment in which to base a modeling system. Details of this work have been published in a 1992 SIGGRAPH paper and John Snyder's 1992 Book.<< The abstract of the book is at http://www.gg.caltech.edu/papers/snyderbook_abstract.html A few more interval papers (from 1992/3) of the group are at http://www.gg.caltech.edu/publications.html 2. A recent book by Ratschek and Rokne on computer graphics and intervals http://www.horwoodpublishing.net/cs_ee/97-7.html This is not really related to the above except that it is also on computer graphics, and quotes Snyder's book several times, but it appears to be of much higher quality than the patent-related stuff. Arnold Neumaier From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 14:13:34 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h8UJDXd16613 for reliable_computing-outgoing; Tue, 30 Sep 2003 14:13:33 -0500 (CDT) Received: from ohsmtp01.ogw.rr.com (ohsmtp01.ogw.rr.com [65.24.7.36]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8UJDSS16609 for ; Tue, 30 Sep 2003 14:13:29 -0500 (CDT) Received: from REM (dhcp065-024-172-246.columbus.rr.com [65.24.172.246]) by ohsmtp01.ogw.rr.com (8.12.10/8.12.2) with SMTP id h8UJDEId015541; Tue, 30 Sep 2003 15:13:20 -0400 (EDT) Message-ID: <000e01c38786$f7014990$f6ac1841@REM> From: "Ray Moore" To: , Cc: Subject: corner taylor form Date: Tue, 30 Sep 2003 15:13:20 -0400 MIME-Version: 1.0 Content-Type: multipart/alternative; boundary="----=_NextPart_000_000B_01C38765.6262BAB0" X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is a multi-part message in MIME format. ------=_NextPart_000_000B_01C38765.6262BAB0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Dear Marcel and Alan and all, I like the idea of the corner Taylor form, and I think it holds promise = for some improvements over what we have been doing. I refer to a draft = of your paper on "Corner Taylor form interval extensions". It remains to = be seen how much of an improvement it makes on practical applications. I = look forward to stories about successes, and wish you good luck ! We = need efforts such as yours. I also look forward to hearing about successful applications of your = other ideas related to computer graphics or whatever other areas to = which your work leads. As to the draft itself, I suggest you might simplify the notation = somewhat, and shorten the paper to give only the main points of the = idea, along with a brief comparison of other forms of interval = extensions. best wishes, Ramon Moore ------=_NextPart_000_000B_01C38765.6262BAB0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
Dear Marcel and Alan and = all,
 
I like the idea of the corner Taylor = form, and I=20 think it holds promise for some improvements over what we have been = doing. I=20 refer to a draft of your paper on "Corner Taylor form interval = extensions". It=20 remains to be seen how much of an improvement it makes on practical=20 applications. I look forward to stories about successes, and wish you = good luck=20 !  We need efforts such as yours.
 
I also look forward to hearing about = successful=20 applications of your other ideas related to computer graphics or = whatever other=20 areas to which your work leads.
 
As to the draft itself, I suggest you = might=20 simplify the notation somewhat, and shorten the paper to give only the = main=20 points of the idea, along with a brief comparison of other forms of = interval=20 extensions.
 
best wishes,
 
Ramon Moore
 
 
------=_NextPart_000_000B_01C38765.6262BAB0-- From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 19:09:45 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h9109iH16933 for reliable_computing-outgoing; Tue, 30 Sep 2003 19:09:44 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h9109es16928 for reliable_computing [at] interval [dot] louisiana.edu; Tue, 30 Sep 2003 19:09:40 -0500 (CDT) Received: from sys09.mail.msu.edu (sys09.mail.msu.edu [35.9.75.109]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h8UMBoS16810 for ; Tue, 30 Sep 2003 17:11:51 -0500 (CDT) Received: from berz-9.user.msu.edu ([35.10.222.157] helo=TP570MSUMB) by sys09.mail.msu.edu with asmtp (Exim 4.10 #3) (TLSv1:RC4-MD5:128) (authenticated as berz) id 1A4SiY-000651-00; Tue, 30 Sep 2003 18:11:38 -0400 From: "Martin Berz" To: , Cc: Subject: Various Comments Date: Mon, 29 Sep 2003 18:11:34 -0400 Message-ID: MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 (Normal) X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook IMO, Build 9.0.6604 (9.0.2911.0) X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Importance: Normal In-Reply-To: <000e01c38786$f7014990$f6ac1841@REM> Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear colleagues, let me also make a few comments on the recent postings regarding some recent work at Caltech. Brief Analysis of the Work ************************** The work in question consists of two main aspects; on the one hand there is the so-called "cropping method", which is described in quite some detail in the patent application http://appft1.uspto.gov/netacgi/nph-Parser?Sect1=PTO2&Sect2=HITOFF&p=1&u=%2Fne tahtml%2FPTO%2Fsearch-bool.html&r=1&f=G&l=50&co1=AND&d=PG01&s1=gavriliu&OS=gav riliu&RS=gavriliu and on the other hand there is the so-called "corner form" which is also described the patent application, but presented in much more detail in the paper in the file "corner-2003.pdf" at http://www.cs.caltech.edu/~mg/ 1) Indeed from all we can see in the patent application (we are able to see all formulas and pictures, for which one needs QuickTime; but resolution is not good enough to decipher all subscripts and small print), what is there referred to as the cropping method is, as observed by Neumaier, essentially the Linear Dominated Bounder LDB described by Makino in her dissertation http://bt.pa.msu.edu/cgi-bin/display.pl?name=makinophd 2) Many examples of the use of LDB can be found in http://bt.pa.msu.edu/cgi-bin/display.pl?name=TMIJPAM03 Indeed the method performs very well in many cases, which was also suspected by Marcel. In particular, compared to centered forms, often significant improvement is observed, whether this is called a breakthrough or not. The paper is an 80 page review about various versions of Taylor methods, comparing them to our Taylor model approach and providing many computational examples to illustrate the comparisons. (As a side note, the reader may want to compare some results in it with recent claims of Neumaier in a less detailed paper of his. A more specific such comparison also involving integration of ODEs is forthcoming.) 3) If the algorithm in the patent application is not entirely the same, then, borrowing from the beautiful legalese terminology repeatedly used in the patent application, it "will be or will become apparent to one with skill in the art upon examination of the figures and detailed descriptions" of Makino's work. Specifically, Figure 5.1 on p.128 of Makino's dissertation corresponds to figure 3A in the patent; and the algorithm of disposing of regions described in 0025 to 0027 corresponds to the text in Makino's dissertation and the implementation in COSY. Incidentally, the algorithm for cropping has even been generalized to higher orders for the problem of solving implicit equations; see http://bt.pa.msu.edu/cgi-bin/display.pl?name=rcinv However, while there is very close resemblance to these specific tools in COSY, the basic idea of using various clever arguments of eliminating forms of various shapes from consideration in a wider context are nearly as old as interval methods themselves. 4) The advertised CORNER TAYLOR FORM described at http://www.cs.caltech.edu/~mg/corner-2003.pdf is based on two ideas. The first, partly because it is so obvious, has also been pursued by Makino and Hoefkens in their dissertation research as part of the polynomial bounding problem needed for Taylor models. The idea is the observation that polynomials with purely positive coefficients assume their minimum and maximum over any interval box with purely positive components in the corner points closest and farthest from the origin. One now writes a general polynomial as a difference between two polynomials with positive coefficients, and thus obtains a total bound as the difference of the exact bounds in a straightforward way. 5) The next idea is related to the proper choice of expansion point of the polynomial. In theorem 7.2 it is stated that the choice of the expansion point in the proper corner yields sharper enclosures than any other choice. Cases 1 and 2 prove the situation for the situation where the original expansion point is outside the box; in this case, the result is quite expected. However, the most critical case is if the original expansion point is contained in the box, which is treated in case 3. This case, however, is treated much too briefly and as written is not understandable to me, and likely others; in fact, if I understand correctly, it is even wrong. Theorem 8.1 rephrases theorem 7.2 for the real coefficient case, and there the particularly interesting case of the original expansion point being inside the box is specifically excluded. 6) However, the most important case for use in either Taylor Forms (where remainder bounds are obtained from interval evaluation of the derivative) or in Taylor Models (where remainder bounds are obtained in parallel to the computation of the coefficients, which significantly reduces overestimation) is precisely the situation with the expansion point inside the box. In most cases, this is the preferred choice to keep the remainder bounds of both methods as tight as possible. 7) In this practically important case of expansion point inside the box, the advertised method does not seem to offer an advantage, unless I am really missing something here. Consider the polynomial (x-.5)^2 on [0,1]. In this form around the center expansion point .5, we immediately obtain the bound [0,.25]. However, expanded around the left corner, the polynomial has the form x^2 - x + .25. Using the decomposition into positive and negative parts it is written as ( x^2 + .25 ) - ( x ), the two summands having bounds [.25, 1.25] and [-1,0] respectively, leading to the bound [-.75,1.25]. Surely not worse than (actually equal to) the result of interval evaluation of the polynomial expanded at zero, but worse than the evaluation of the polynomial centered around .5. So to clarify this particular example appears to be of prime importance, at least for my understanding, but probably that of others as well. 8) Finally, in the submitted patent application there is also extensive use of branch and bound techniques, and from what I can see, as observed by others, not much is fundamentally new here either. To use the beautiful phrase as frequently as it appears in the patent application, these things "will be or will become apparent to one with skill in the art upon examination of the figures and detailed descriptions" - in the papers and books of the wider interval literature, that is. Conclusions and Suggestions *************************** It seems to me that the following should happen: 1) The patent application should be withdrawn, based on newly acquired knowledge of the authors about its wider connections. In my opinion, this is an issue of basic scientific ethics, and should come from Marcel as first author. Of course Caltech may have an interest in pursuing as many patents as they can, but in my experience the original impetus always comes from the author. Furthermore, as Marcel's CV on his web page reveals, this is not the only patent application he has, there seem to be a total of four of them. 2) Should this not happen in this channel, which I really do not hope, the interval community should take steps to make sure it happens, including informing the patent office through the proper channels about the concerns at hand. It just cannot be that things that are well known to the experts, to which Marcel does perhaps not (yet) belong, get patented by anybody other than the experts. But even patenting by the experts is highly undesirable, as Vladik rightly points out. Regarding the procedure, I am unclear at this point. 3) All sides, including Marcel, but also some commenters on the mailing list, should try to slow down the process of drawing conclusions, replacing hip shots and hype by careful analysis of the facts at hand. 4) In general, the community should foster a climate of togetherness instead of division, of education instead of demeaning and confrontation, of cooperation instead of one-upmanship. There have been several instances in the emails of the last days that have not followed these premises, and I am very glad to see other emails that support my view on this. 5) We would like to invite Marcel to visit us at MSU for a few days, at our expense. During such a visit, we can show him in practice the performance of the LDB method as implemented in COSY as well as various other tools on whatever examples he is interested in, and are happy to learn of any additional ideas he may have. We can also implement his proposed corner form method, which is very easy to do in the COSY environment, and compare its performance to other tools we routinely use. Anyway just in the last week, by coincidence or not, Marcel has applied for a license of our COSY program, and a visit to MSU would help him get a head start on its effective use. 6) We all should continue to enjoy the unique and remarkable things interval methods can achieve. It is futile to try to solve all problems in the world with them or be upset that one cannot; rather, one should invest one's energy to uncover many more of the applications where they are truly useful. Best wishes to all, Martin Berz -------------------------------------------------------------- Martin Berz Professor Department of Physics and Astronomy Michigan State University East Lansing, MI 48824, USA Office: 517-355-9200x2130 FAX&Voicemail: 517-913-5901 Mobile: 517-285-8562 -------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Sep 30 21:49:29 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h912nTJ17222 for reliable_computing-outgoing; Tue, 30 Sep 2003 21:49:29 -0500 (CDT) Received: from hotmail.com (bay7-dav37.bay7.hotmail.com [64.4.10.94]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h912nNS17218 for ; Tue, 30 Sep 2003 21:49:23 -0500 (CDT) Received: from mail pickup service by hotmail.com with Microsoft SMTPSVC; Tue, 30 Sep 2003 19:49:16 -0700 Received: from 216.62.132.1 by bay7-dav37.bay7.hotmail.com with DAV; Wed, 01 Oct 2003 02:49:16 +0000 X-Originating-IP: [216.62.132.1] X-Originating-Email: [quadrahelix [at] hotmail [dot] com] Reply-To: "Brian Webb" From: "Brian Webb" To: Subject: Gavriliu patent in PDF Date: Tue, 30 Sep 2003 21:49:12 -0500 MIME-Version: 1.0 Content-Type: text/plain; charset="Windows-1252" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 6.00.2800.1158 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Message-ID: X-OriginalArrivalTime: 01 Oct 2003 02:49:16.0902 (UTC) FILETIME=[9AED4060:01C387C6] Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear colleagues, For those who hate reading documents off of a monitor, here's a link to the Gavriliu patent as a PDF file. http://www.quadrahelix.com/uber/intervals/patent_20020133475.pdf - Brian