Algorithms For Entropy And Mathematical Programming PDF Download
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Author | : Jan Eriksson |
Publisher | : |
Total Pages | : 152 |
Release | : 1981 |
Genre | : Algorithms |
ISBN | : 9789173724463 |
Download Algorithms for Entropy and Mathematical Programming Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 152 |
Release | : 1981 |
Genre | : |
ISBN | : 9789178715923 |
Download Algorithms for Entropy and Mathematical Programming Book in PDF, ePub and Kindle
Author | : Shu-Cherng Fang |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 1461561310 |
Download Entropy Optimization and Mathematical Programming Book in PDF, ePub and Kindle
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.
Author | : Imre Csiszár |
Publisher | : Springer Science & Business Media |
Total Pages | : 262 |
Release | : 2007-04-05 |
Genre | : Mathematics |
ISBN | : 3540327770 |
Download Entropy, Search, Complexity Book in PDF, ePub and Kindle
This book collects survey papers in the fields of entropy, search and complexity, summarizing the latest developments in their respective areas. More than half of the papers belong to search theory which lies on the borderline of mathematics and computer science, information theory and combinatorics, respectively. The book will be useful to experienced researchers as well as young scientists and students both in mathematics and computer science.
Author | : Marcia Fampa |
Publisher | : Springer Nature |
Total Pages | : 206 |
Release | : 2022-11-30 |
Genre | : Mathematics |
ISBN | : 3031130782 |
Download Maximum-Entropy Sampling Book in PDF, ePub and Kindle
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.
Author | : Stein W. Wallace |
Publisher | : Springer Science & Business Media |
Total Pages | : 199 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642837247 |
Download Algorithms and Model Formulations in Mathematical Programming Book in PDF, ePub and Kindle
The NATO Advanced Research Workshop (ARW) "Algorithms and Model Formulations in Mathematical Programming" was held at Chr. Michelsen Institute in Bergen, Norway, from June 15 to June 19, 1987. The ARW was organized on behalf of the Committee on Algorithms (COAL) of the Mathematical Programming Society (MPS). Co-directors were Jan Telgen (Van Dien+Co Organisatie, Utrecht, The Netherlands) and Roger J-B Wets (The University of California at Davis, USA). 43 participants from 11 countries attended the ARW. The workshop was organized such that each day started with a - minute keynote presentation, followed by a 45-minute plenary discussion. The first part of this book contains the contributions of the five keynote speakers. The plenary discussions were taped, and the transcripts given to the keynote speakers. They have treated the transcripts differently, some by working the discussions into their papers, others by adding a section which sums up the discussions. The plenary discussions were very interesting and stimulating due to active participation of the audience. The five keynote speakers were asked to view the topic of the workshop, the interaction between algorithms and model formulations, from different perspectives. On the first day of the workshop Professor Alexander H.G. Rinnooy Kan (Erasmus University, Rotterdam, The Netherlands) put the theme into a larger context by his talk "Mathematical programming as an intellectual activity". This is an article of importance to any mathematical programmer who is interested in his field's history and present state.
Author | : Reuven Y. Rubinstein |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2013-03-09 |
Genre | : Computers |
ISBN | : 1475743211 |
Download The Cross-Entropy Method Book in PDF, ePub and Kindle
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.
Author | : K.H. Hoffmann |
Publisher | : Birkhäuser |
Total Pages | : 376 |
Release | : 2013-03-07 |
Genre | : Science |
ISBN | : 3034892977 |
Download Trends in Mathematical Optimization Book in PDF, ePub and Kindle
This volume contains a collection of 23 papers presented at the 4th French-German Conference on Optimization, hold at Irsee, April 21 - 26, 1986. The conference was aUended by ninety scientists: about one third from France, from Germany and from third countries each. They all contributed to a highly interesting and stimulating meeting. The scientifique program consisted of four survey lectures of a more tutorical character and of 61 contributed papers covering almost all areas of optimization. In addition two informal evening sessions and a plenary discussion on further developments of optimization theory were organized. One of the main aims of the organizers was to indicate and to stress the increasing importance of optimization methods for almost all areas of science and for a fast growing number of industry branches. We hope that the conference approached this goal in a certain degree and managed to continue fruitful discussions between -theory and -applications-. Equally important to the official contributions and lectures is the -nonmeasurable part of activities inherent in such a scientific meeting. Here the charming and inspiring atmosphere of a place like Irsee helped to establish numerous new contacts between the participants and to deepen already existing ones. The conference was sponsored by the Bayerische Kultusministerium, the Deutsche Forschungsgemeinschaft and the Universities of Augsburg and Bayreuth. Their interest in the meeting and their assistance is gratefully acknowledged. We would like to thank the authors for their contributions and the referees for their helpful comments.
Author | : Luc Pronzato |
Publisher | : CRC Press |
Total Pages | : 240 |
Release | : 1999-08-27 |
Genre | : Mathematics |
ISBN | : 9780849303364 |
Download Dynamical Search Book in PDF, ePub and Kindle
Certain algorithms that are known to converge can be renormalized or "blown up" at each iteration so that their local behavior can be seen. This creates dynamical systems that we can study with modern tools, such as ergodic theory, chaos, special attractors, and Lyapounov exponents. Furthermore, we can translate the rates of convergence into less studied exponents known as Renyi entropies. This all feeds back to suggest new algorithms with faster rates of convergence. For example, in line-search, we can improve upon the Golden Section algorithm with new classes of algorithms that have their own special-and sometimes chaotic-dynamical systems. The ellipsoidal algorithms of linear and convex programming have fast, "deep cut" versions whose dynamical systems contain cyclic attractors. And ordinary steepest descent has, buried within, a beautiful fractal that controls the gateway to a special two-point attractor. Faster "relaxed" versions exhibit classical period doubling. Dynamical Search presents a stimulating introduction to a brand new field - the union of dynamical systems and optimization. It will prove fascinating and open doors to new areas of investigation for researchers in both fields, plus those in statistics and computer science.
Author | : Sven Erlander |
Publisher | : VSP |
Total Pages | : 252 |
Release | : 1990-12 |
Genre | : Transportation |
ISBN | : 9789067640893 |
Download The Gravity Model in Transportation Analysis Book in PDF, ePub and Kindle
Analisi: TRASPORTI. In generale. ECONOMETRIA. Econometria applicata.