Entropy Optimization And Mathematical Programming
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Entropy Optimization And Mathematical Programming
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Author : Shu-Cherng Fang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Entropy Optimization And Mathematical Programming written by Shu-Cherng Fang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Entropy optimization is a useful combination of classical engineering theory (entropy) with mathematical optimization. The resulting entropy optimization models have proved their usefulness with successful applications in areas such as image reconstruction, pattern recognition, statistical inference, queuing theory, spectral analysis, statistical mechanics, transportation planning, urban and regional planning, input-output analysis, portfolio investment, information analysis, and linear and nonlinear programming. While entropy optimization has been used in different fields, a good number of applicable solution methods have been loosely constructed without sufficient mathematical treatment. A systematic presentation with proper mathematical treatment of this material is needed by practitioners and researchers alike in all application areas. The purpose of this book is to meet this need. Entropy Optimization and Mathematical Programming offers perspectives that meet the needs of diverse user communities so that the users can apply entropy optimization techniques with complete comfort and ease. With this consideration, the authors focus on the entropy optimization problems in finite dimensional Euclidean space such that only some basic familiarity with optimization is required of the reader.
Entropy Optimization And Mathematical Programming
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Author : H.-S. J. Tsao
language : en
Publisher:
Release Date : 1997
Entropy Optimization And Mathematical Programming written by H.-S. J. Tsao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Maximum Entropy Sampling
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Author : Marcia Fampa
language : en
Publisher: Springer Nature
Release Date : 2022-11-30
Maximum Entropy Sampling written by Marcia Fampa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Mathematics categories.
This monograph presents a comprehensive treatment of the maximum-entropy sampling problem (MESP), which is a fascinating topic at the intersection of mathematical optimization and data science. The text situates MESP in information theory, as the algorithmic problem of calculating a sub-vector of pre-specificed size from a multivariate Gaussian random vector, so as to maximize Shannon's differential entropy. The text collects and expands on state-of-the-art algorithms for MESP, and addresses its application in the field of environmental monitoring. While MESP is a central optimization problem in the theory of statistical designs (particularly in the area of spatial monitoring), this book largely focuses on the unique challenges of its algorithmic side. From the perspective of mathematical-optimization methodology, MESP is rather unique (a 0/1 nonlinear program having a nonseparable objective function), and the algorithmic techniques employed are highly non-standard. In particular, successful techniques come from several disparate areas within the field of mathematical optimization; for example: convex optimization and duality, semidefinite programming, Lagrangian relaxation, dynamic programming, approximation algorithms, 0/1 optimization (e.g., branch-and-bound), extended formulation, and many aspects of matrix theory. The book is mainly aimed at graduate students and researchers in mathematical optimization and data analytics.
Algorithms For Entropy And Mathematical Programming
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Author : Jan Eriksson
language : en
Publisher:
Release Date : 1981
Algorithms For Entropy And Mathematical Programming written by Jan Eriksson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Algorithms categories.
The Cross Entropy Method
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Author : Reuven Y. Rubinstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Cross Entropy Method written by Reuven Y. Rubinstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
Rubinstein is the pioneer of the well-known score function and cross-entropy methods. Accessible to a broad audience of engineers, computer scientists, mathematicians, statisticians and in general anyone, theorist and practitioner, who is interested in smart simulation, fast optimization, learning algorithms, and image processing.
Classical Principles And Optimization Problems
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Author : B.S. Razumikhin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Classical Principles And Optimization Problems written by B.S. Razumikhin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, tbat they can't see the problem. perbaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuJik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such newemerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Entropy Measures Maximum Entropy Principle And Emerging Applications
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Author : Karmeshu
language : en
Publisher: Springer
Release Date : 2012-10-01
Entropy Measures Maximum Entropy Principle And Emerging Applications written by Karmeshu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-01 with Technology & Engineering categories.
The last two decades have witnessed an enormous growth with regard to ap plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values etc. ; and it is then required to construct a probabilistic model from this partial information. In such situations, the principle of maximum entropy provides a rational ba sis for constructing a probabilistic model. It is thus necessary and important to keep track of advances in the applications of maximum entropy principle to ever expanding areas of knowledge.
Entropy Optimization Principles With Applications
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Author : Jagat Narain Kapur
language : en
Publisher:
Release Date : 1992
Entropy Optimization Principles With Applications written by Jagat Narain Kapur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computers categories.
This senior-level textbook on entropy provides a conceptual framework for the study of probabilistic systems with its elucidation of three key concepts - Shannon's information theory, Jaynes' maximum entropy principle and Kullback's minimum cross-entropy principle.
Mathematical Optimization In Computer Graphics And Vision
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Author : Luiz Velho
language : en
Publisher: Morgan Kaufmann
Release Date : 2011-08-09
Mathematical Optimization In Computer Graphics And Vision written by Luiz Velho and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-09 with Computers categories.
Mathematical optimization is used in nearly all computer graphics applications, from computer vision to animation. This book teaches readers the core set of techniques that every computer graphics professional should understand in order to envision and expand the boundaries of what is possible in their work. Study of this authoritative reference will help readers develop a very powerful tool- the ability to create and decipher mathematical models that can better realize solutions to even the toughest problems confronting computer graphics community today. *Distills down a vast and complex world of information on optimization into one short, self-contained volume especially for computer graphics *Helps CG professionals identify the best technique for solving particular problems quickly, by categorizing the most effective algorithms by application *Keeps readers current by supplementing the focus on key, classic methods with special end-of-chapter sections on cutting-edge developments
Advanced Techniques In The Optimum Design Of Structures
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Author : Santiago Hernández
language : en
Publisher: Computational Mechanics
Release Date : 1993
Advanced Techniques In The Optimum Design Of Structures written by Santiago Hernández and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Technology & Engineering categories.