Maximum Entropy And Bayesian Methods In Inverse Problems

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Maximum Entropy and Bayesian Methods

Author : W.T. Grandy Jr.,L.H. Schick
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401134606

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Maximum Entropy and Bayesian Methods by W.T. Grandy Jr.,L.H. Schick Pdf

The 10th International Workshop on Maximum Entropy and Bayesian Methods, MaxEnt 90, was held in Laramie, Wyoming from 30 July to 3 August 1990. This volume contains the scientific presentations given at that meeting. This series of workshops originated in Laramie in 1981, where the first three of what were to become annual workshops were held. The fourth meeting was held in Calgary. the fifth in Laramie, the sixth and seventh in Seattle, the eighth in Cambridge, England, and the ninth at Hanover, New Hampshire. It is most appropriate that the tenth workshop, occurring in the centennial year of Wyoming's statehood, was once again held in Laramie. The original purpose of these workshops was twofold. The first was to bring together workers from diverse fields of scientific research who individually had been using either some form of the maximum entropy method for treating ill-posed problems or the more general Bayesian analysis, but who, because of the narrow focus that intra-disciplinary work tends to impose upon most of us, might be unaware of progress being made by others using these same techniques in other areas. The second was to introduce to those who were somewhat aware of maximum entropy and Bayesian analysis and wanted to learn more, the foundations, the gestalt, and the power of these analyses. To further the first of these ends, presenters at these workshops have included workers from area. s as varied as astronomy, economics, environmenta.

Maximum Entropy and Bayesian Methods

Author : Anonim
Publisher : Unknown
Page : 462 pages
File Size : 48,6 Mb
Release : 1992
Category : Bayesian statistical decision theory
ISBN : UOM:39015032913660

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Maximum Entropy and Bayesian Methods by Anonim Pdf

Maximum Entropy and Bayesian Methods Santa Barbara, California, U.S.A., 1993

Author : Glenn R. Heidbreder
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 41,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401587297

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Maximum Entropy and Bayesian Methods Santa Barbara, California, U.S.A., 1993 by Glenn R. Heidbreder Pdf

Maximum entropy and Bayesian methods have fundamental, central roles in scientific inference, and, with the growing availability of computer power, are being successfully applied in an increasing number of applications in many disciplines. This volume contains selected papers presented at the Thirteenth International Workshop on Maximum Entropy and Bayesian Methods. It includes an extensive tutorial section, and a variety of contributions detailing application in the physical sciences, engineering, law, and economics. Audience: Researchers and other professionals whose work requires the application of practical statistical inference.

Maximum-Entropy and Bayesian Methods in Inverse Problems

Author : C.R. Smith,W.T. Grandy Jr.
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 49,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401722216

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Maximum-Entropy and Bayesian Methods in Inverse Problems by C.R. Smith,W.T. Grandy Jr. Pdf

This volume contains the text of the twenty-five papers presented at two workshops entitled Maximum-Entropy and Bayesian Methods in Applied Statistics, which were held at the University of Wyoming from June 8 to 10, 1981, and from August 9 to 11, 1982. The workshops were organized to bring together researchers from different fields to critically examine maxi mum-entropy and Bayesian methods in science, engineering, medicine, oceanography, economics, and other disciplines. An effort was made to maintain an informal environment where ideas could be easily ~xchanged. That the workshops were at least partially successful is borne out by the fact that there have been two succeeding workshops, and the upcoming Fifth Workshop promises to be the largest of all. These workshops and their proceedings could not have been brought to their final form without the substantial help of a number of people. The support of David Hofmann, the past chairman, and Glen Rebka, Jr. , the present chairman of the Physics Department of the University of Wyoming, has been strong and essential. Glen has taken a special interest in seeing that the proceedings have received the support required for their comple tion. The financial support of the Office of University Research Funds, University of Wyoming, is gratefully acknowledged. The secretarial staff, in particular Evelyn Haskell, Janice Gasaway, and Marce Mitchum, of the University of Wyoming Physics Department has contributed a great number of hours in helping C. Ray Smith organize and direct the workshops.

Maximum Entropy and Bayesian Methods

Author : G. Erickson,Joshua T. Rychert,C.R. Smith
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401150286

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Maximum Entropy and Bayesian Methods by G. Erickson,Joshua T. Rychert,C.R. Smith Pdf

This volume has its origin in the Seventeenth International Workshop on Maximum Entropy and Bayesian Methods, MAXENT 97. The workshop was held at Boise State University in Boise, Idaho, on August 4 -8, 1997. As in the past, the purpose of the workshop was to bring together researchers in different fields to present papers on applications of Bayesian methods (these include maximum entropy) in science, engineering, medicine, economics, and many other disciplines. Thanks to significant theoretical advances and the personal computer, much progress has been made since our first Workshop in 1981. As indicated by several papers in these proceedings, the subject has matured to a stage in which computational algorithms are the objects of interest, the thrust being on feasibility, efficiency and innovation. Though applications are proliferating at a staggering rate, some in areas that hardly existed a decade ago, it is pleasing that due attention is still being paid to foundations of the subject. The following list of descriptors, applicable to papers in this volume, gives a sense of its contents: deconvolution, inverse problems, instrument (point-spread) function, model comparison, multi sensor data fusion, image processing, tomography, reconstruction, deformable models, pattern recognition, classification and group analysis, segmentation/edge detection, brain shape, marginalization, algorithms, complexity, Ockham's razor as an inference tool, foundations of probability theory, symmetry, history of probability theory and computability. MAXENT 97 and these proceedings could not have been brought to final form without the support and help of a number of people.

Linear Inverse Problems

Author : Henryk Gzyl,Yurayh Velásquez
Publisher : World Scientific
Page : 352 pages
File Size : 47,9 Mb
Release : 2011-02-16
Category : Mathematics
ISBN : 9789814462167

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Linear Inverse Problems by Henryk Gzyl,Yurayh Velásquez Pdf

The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. A variety of mathematical aspects of the maximum entropy method are explored as well. Contents:A Collection of Linear Inverse ProblemsThe Basics about Linear Inverse ProblemsRegularization in Hilbert Spaces: Deterministic and Stochastic ApproachesMaxentropic Approach to Linear Inverse ProblemsFinite Dimensional ProblemsSome Simple Numerical Examples and Moment ProblemsSome Infinite Dimensional ProblemsTomography, Reconstruction from Marginals and Transportation ProblemsNumerical Inversion of Laplace TransformsMaxentropic Characterization of Probability DistributionsIs an image Worth a Thousand Words? Readership: Researchers in mathematical modeling. Keywords:Inverse Problems;Constrained Inverse Problems;Maximum Entropy;Maximum Entropy in the MeanKey Features:There are no other books using the method of maximum entropy in the mean to solve constrained linear problems with error in the dataIt includes interactive software, that can be used to solve many problemsReviews: “This book serves as lecture notes and is suitable for a graduate-level course on inverse problems. It covers a broad subject, gives explanations in sufficient detail, and helps readers learn to apply the presented methods. The book includes a nice collection of inverse problems and strategies to solve them, offers examples, and maintains a good balance between theoretical and applied aspects of the subject.” Mathematical Reviews “This monograph provides a thorough survey of maximum entropy methods for linear inverse problems. It is well written. This text can be recommended to experts as well as graduate students interested in the stochastic connection in inverse problems.” Zentralblatt MATH

Bayesian Inference and Maximum Entropy Methods in Science and Engineering

Author : Ali Mohammad-Djafari
Publisher : American Inst. of Physics
Page : 616 pages
File Size : 53,6 Mb
Release : 2006-12-13
Category : Science
ISBN : 0735403716

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Bayesian Inference and Maximum Entropy Methods in Science and Engineering by Ali Mohammad-Djafari Pdf

The MaxEnt workshops are devoted to Bayesian inference and maximum entropy methods in science and engineering. In addition, this workshop included all aspects of probabilistic inference, such as foundations, techniques, algorithms, and applications. All papers have been peer-reviewed.

Maximum-Entropy and Bayesian Methods in Science and Engineering

Author : G. Erickson,C.R. Smith
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 47,7 Mb
Release : 1988-08-31
Category : Mathematics
ISBN : 9027727945

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Maximum-Entropy and Bayesian Methods in Science and Engineering by G. Erickson,C.R. Smith Pdf

This volume has its origin in the Fifth, Sixth and Seventh Workshops on "Maximum-Entropy and Bayesian Methods in Applied Statistics", held at the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987. It was anticipated that the proceedings of these workshops would be combined, so most of the papers were not collected until after the seventh workshop. Because most of the papers in this volume are in the nature of advancing theory or solving specific problems, as opposed to status reports, it is believed that the contents of this volume will be of lasting interest to the Bayesian community. The workshop was organized to bring together researchers from different fields to critically examine maximum-entropy and Bayesian methods in science and engineering as well as other disciplines. Some of the papers were chosen specifically to kindle interest in new areas that may offer new tools or insight to the reader or to stimulate work on pressing problems that appear to be ideally suited to the maximum-entropy or Bayesian method. These workshops and their proceedings could not have been brought to their final form without the support or help of a number of people.

Maximum Entropy and Bayesian Methods Garching, Germany 1998

Author : Wolfgang von der Linden,Volker Dose,Rainer Fischer,Roland Preuss
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401147101

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Maximum Entropy and Bayesian Methods Garching, Germany 1998 by Wolfgang von der Linden,Volker Dose,Rainer Fischer,Roland Preuss Pdf

In 1978 Edwin T. Jaynes and Myron Tribus initiated a series of workshops to exchange ideas and recent developments in technical aspects and applications of Bayesian probability theory. The first workshop was held at the University of Wyoming in 1981 organized by C.R. Smith and W.T. Grandy. Due to its success, the workshop was held annually during the last 18 years. Over the years, the emphasis of the workshop shifted gradually from fundamental concepts of Bayesian probability theory to increasingly realistic and challenging applications. The 18th international workshop on Maximum Entropy and Bayesian Methods was held in Garching / Munich (Germany) (27-31. July 1998). Opening lectures by G. Larry Bretthorst and by Myron Tribus were dedicated to one of th the pioneers of Bayesian probability theory who died on the 30 of April 1998: Edwin Thompson Jaynes. Jaynes revealed and advocated the correct meaning of 'probability' as the state of knowledge rather than a physical property. This inter pretation allowed him to unravel longstanding mysteries and paradoxes. Bayesian probability theory, "the logic of science" - as E.T. Jaynes called it - provides the framework to make the best possible scientific inference given all available exper imental and theoretical information. We gratefully acknowledge the efforts of Tribus and Bretthorst in commemorating the outstanding contributions of E.T. Jaynes to the development of probability theory.

Maximum Entropy and Bayesian Methods

Author : Ali Mohammad-Djafari,G. Demoment
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 44,5 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9789401722179

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Maximum Entropy and Bayesian Methods by Ali Mohammad-Djafari,G. Demoment Pdf

The Twelfth International Workshop on Maximum Entropy and Bayesian Methods in Sciences and Engineering (MaxEnt 92) was held in Paris, France, at the Centre National de la Recherche Scientifique (CNRS), July 19-24, 1992. It is important to note that, since its creation in 1980 by some of the researchers of the physics department at the Wyoming University in Laramie, this was the second time that it took place in Europe, the first time was in 1988 in Cambridge. The two specificities of MaxEnt workshops are their spontaneous and informal charac ters which give the participants the possibility to discuss easily and to make very fruitful scientific and friendship relations among each others. This year's organizers had fixed two main objectives: i) to have more participants from the European countries, and ii) to give special interest to maximum entropy and Bayesian methods in signal and image processing. We are happy to see that we achieved these objectives: i) we had about 100 participants with more than 50 per cent from the European coun tries, ii) we received many papers in the signal and image processing subjects and we could dedicate a full day of the workshop to the image modelling, restoration and recon struction problems.

Maximum Entropy and Bayesian Methods

Author : Kenneth M. Hanson,Richard N. Silver
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 52,9 Mb
Release : 1996
Category : Mathematics
ISBN : UCSD:31822023890585

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Maximum Entropy and Bayesian Methods by Kenneth M. Hanson,Richard N. Silver Pdf

This volume contains the proceedings of the Fifteenth International Workshop on Maximum Entropy and Bayesian Methods, held in Santa Fe, New Mexico, U.S.A., from July 31-August 4, 1995. Maximum entropy and Bayesian methods are widely applied to statistical data analysis and scientific inference in the natural and social sciences, engineering and medicine. Practical applications include, among others, parametric model fitting and model selection, ill-posed inverse problems, image reconstruction signal processing, decision making, and spectrum estimation. Fundamental applications include the common foundations for statistical inference, statistical physics and information theory. Specific sessions during the workshop focused on time series analysis, machine learning, deformable geometric models, and data analysis of Monte Carlo simulations, as well as reviewing the relation between maximum entropy and information theory. Audience: This book should be of interest to scientists, engineers, medical professionals, and others engaged in such topics as data analysis, statistical inference, image processing, and signal processing.

Maximum Entropy and Bayesian Methods

Author : P.F. Fougère
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400906839

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Maximum Entropy and Bayesian Methods by P.F. Fougère Pdf

This volume represents the proceedings of the Ninth Annual MaxEnt Workshop, held at Dartmouth College in Hanover, New Hampshire, on August 14-18, 1989. These annual meetings are devoted to the theory and practice of Bayesian Probability and the Maximum Entropy Formalism. The fields of application exemplified at MaxEnt '89 are as diverse as the foundations of probability theory and atmospheric carbon variations, the 1987 Supernova and fundamental quantum mechanics. Subjects include sea floor drug absorption in man, pressures, neutron scattering, plasma equilibrium, nuclear magnetic resonance, radar and astrophysical image reconstruction, mass spectrometry, generalized parameter estimation, delay estimation, pattern recognition, heave responses in underwater sound and many others. The first ten papers are on probability theory, and are grouped together beginning with the most abstract followed by those on applications. The tenth paper involves both Bayesian and MaxEnt methods and serves as a bridge to the remaining papers which are devoted to Maximum Entropy theory and practice. Once again, an attempt has been made to start with the more theoretical papers and to follow them with more and more practical applications. Papers number 29, 30 and 31, by Kesaven, Seth and Kapur, represent a somewhat different, perhaps even "unorthodox" viewpoint, and are included here even though the editor and, indeed many in the audience at Dartmouth, disagreed with their content. I feel that scientific disagreements are essential in any developing field, and often lead to a deeper understanding.

Maximum Entropy and Bayesian Methods

Author : Kenneth M. Hanson,Richard N. Silver
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401154307

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Maximum Entropy and Bayesian Methods by Kenneth M. Hanson,Richard N. Silver Pdf

Proceedings of the Fifteenth International Workshop on Maximum Entropy and Bayesian Methods, Santa Fe, New Mexico, USA, 1995

Maximum-Entropy and Bayesian Methods in Inverse Problems

Author : C.R. Smith,Walter Grandy
Publisher : Springer Science & Business Media
Page : 512 pages
File Size : 52,8 Mb
Release : 1985-07-31
Category : Mathematics
ISBN : 9027720746

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Maximum-Entropy and Bayesian Methods in Inverse Problems by C.R. Smith,Walter Grandy Pdf

This volume contains the text of the twenty-five papers presented at two workshops entitled Maximum-Entropy and Bayesian Methods in Applied Statistics, which were held at the University of Wyoming from June 8 to 10, 1981, and from August 9 to 11, 1982. The workshops were organized to bring together researchers from different fields to critically examine maxi mum-entropy and Bayesian methods in science, engineering, medicine, oceanography, economics, and other disciplines. An effort was made to maintain an informal environment where ideas could be easily ~xchanged. That the workshops were at least partially successful is borne out by the fact that there have been two succeeding workshops, and the upcoming Fifth Workshop promises to be the largest of all. These workshops and their proceedings could not have been brought to their final form without the substantial help of a number of people. The support of David Hofmann, the past chairman, and Glen Rebka, Jr. , the present chairman of the Physics Department of the University of Wyoming, has been strong and essential. Glen has taken a special interest in seeing that the proceedings have received the support required for their comple tion. The financial support of the Office of University Research Funds, University of Wyoming, is gratefully acknowledged. The secretarial staff, in particular Evelyn Haskell, Janice Gasaway, and Marce Mitchum, of the University of Wyoming Physics Department has contributed a great number of hours in helping C. Ray Smith organize and direct the workshops.