Geometric Science of Information

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Publisher : Springer Nature
ISBN 13 : 3031382714
Total Pages : 641 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Geometric Science of Information by : Frank Nielsen

Download or read book Geometric Science of Information written by Frank Nielsen and published by Springer Nature. This book was released on 2023-07-31 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 6th International Conference on Geometric Science of Information, GSI 2023, held in St. Malo, France, during August 30-September 1, 2023. The 125 full papers presented in this volume were carefully reviewed and selected from 161 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: geometry and machine learning; divergences and computational information geometry; statistics, topology and shape spaces; geometry and mechanics; geometry, learning dynamics and thermodynamics; quantum information geometry; geometry and biological structures; geometry and applications.

Science and Ideology

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Publisher : Routledge
ISBN 13 : 113646669X
Total Pages : 288 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Science and Ideology by : Mark Walker

Download or read book Science and Ideology written by Mark Walker and published by Routledge. This book was released on 2013-10-11 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does science work best in a democracy? Were 'Soviet' or 'Nazi' science fundamentally different from science in the USA? These questions have been passionately debated in the recent past. Particular developments in science took place under particular political regimes, but they may or may not have been directly determined by them. Science and Ideology brings together a number of comparative case studies to examine the relationship between science and the dominant ideology of a state. Cybernetics in the USA is compared to France and the Soviet Union. Postwar Allied science policy in occupied Germany is juxtaposed to that in Japan. The essays are narrowly focussed, yet cover a wide range of countries and ideologies. The collection provides a unique comparative history of scientific policies and practices in the 20th century.

Information Theory

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Publisher : Cambridge University Press
ISBN 13 : 113949998X
Total Pages : 522 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Information Theory by : Imre Csiszár

Download or read book Information Theory written by Imre Csiszár and published by Cambridge University Press. This book was released on 2011-06-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Csiszár and Körner's book is widely regarded as a classic in the field of information theory, providing deep insights and expert treatment of the key theoretical issues. It includes in-depth coverage of the mathematics of reliable information transmission, both in two-terminal and multi-terminal network scenarios. Updated and considerably expanded, this new edition presents unique discussions of information theoretic secrecy and of zero-error information theory, including the deep connections of the latter with extremal combinatorics. The presentations of all core subjects are self contained, even the advanced topics, which helps readers to understand the important connections between seemingly different problems. Finally, 320 end-of-chapter problems, together with helpful hints for solving them, allow readers to develop a full command of the mathematical techniques. It is an ideal resource for graduate students and researchers in electrical and electronic engineering, computer science and applied mathematics.

On Measures of Information and Their Characterizations

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Publisher : Academic Press
ISBN 13 : 0080956246
Total Pages : 248 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis On Measures of Information and Their Characterizations by : Acze?l

Download or read book On Measures of Information and Their Characterizations written by Acze?l and published by Academic Press. This book was released on 1975-12-17 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with measures of information (the most important ones being called entropies), their properties, and, reciprocally, with questions concerning which of these properties determine known measures of information, and which are the most general formulas satisfying reasonable requirements on practical measures of information. Thisis the first book investigating this subject in depth.

Functional Equations and Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 3642110045
Total Pages : 433 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Functional Equations and Inequalities by : B. Forte

Download or read book Functional Equations and Inequalities written by B. Forte and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.

Möbius Functions, Incidence Algebras and Power Series Representations

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Publisher : Springer
ISBN 13 : 354039818X
Total Pages : 145 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Möbius Functions, Incidence Algebras and Power Series Representations by : Arne Dür

Download or read book Möbius Functions, Incidence Algebras and Power Series Representations written by Arne Dür and published by Springer. This book was released on 2006-11-14 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Identification and Other Probabilistic Models

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Publisher : Springer Nature
ISBN 13 : 3030650723
Total Pages : 720 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Identification and Other Probabilistic Models by : Rudolf Ahlswede

Download or read book Identification and Other Probabilistic Models written by Rudolf Ahlswede and published by Springer Nature. This book was released on 2021-06-22 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for the transmission of a message over a noisy channel, in the theory of identification the decoder is not really interested in what the received message is, but only in deciding whether a message, which is of special interest to him, has been sent or not. There are also algorithmic problems where it is not necessary to calculate the solution, but only to check whether a certain given answer is correct. Depending on the problem, this answer might be much easier to give than finding the solution. ``Easier'' in this context means using fewer resources like channel usage, computing time or storage space. Ahlswede and Dueck's main result was that, in contrast to transmission problems, where the possible code sizes grow exponentially fast with block length, the size of identification codes will grow doubly exponentially fast. The theory of identification has now developed into a sophisticated mathematical discipline with many branches and facets, forming part of the Post Shannon theory in which Ahlswede was one of the leading experts. New discoveries in this theory are motivated both by concrete engineering problems and by explorations of the inherent properties of the mathematical structures. Rudolf Ahlswede wrote: It seems that the whole body of present day Information Theory will undergo serious revisions and some dramatic expansions. In this book we will open several directions of future research and start the mathematical description of communication models in great generality. For some specific problems we provide solutions or ideas for their solutions. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs. The book also contains an afterword by Gunter Dueck.

Information Theory and Statistics

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Publisher : Courier Corporation
ISBN 13 : 0486142043
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Information Theory and Statistics by : Solomon Kullback

Download or read book Information Theory and Statistics written by Solomon Kullback and published by Courier Corporation. This book was released on 2012-09-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.

Combinatorial Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461566665
Total Pages : 489 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Combinatorial Theory by : Martin Aigner

Download or read book Combinatorial Theory written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is now generally recognized that the field of combinatorics has, over the past years, evolved into a fully-fledged branch of discrete mathematics whose potential with respect to computers and the natural sciences is only beginning to be realized. Still, two points seem to bother most authors: The apparent difficulty in defining the scope of combinatorics and the fact that combinatorics seems to consist of a vast variety of more or less unrelated methods and results. As to the scope of the field, there appears to be a growing consensus that combinatorics should be divided into three large parts: (a) Enumeration, including generating functions, inversion, and calculus of finite differences; (b) Order Theory, including finite posets and lattices, matroids, and existence results such as Hall's and Ramsey's; (c) Configurations, including designs, permutation groups, and coding theory. The present book covers most aspects of parts (a) and (b), but none of (c). The reasons for excluding (c) were twofold. First, there exist several older books on the subject, such as Ryser [1] (which I still think is the most seductive introduction to combinatorics), Hall [2], and more recent ones such as Cameron-Van Lint [1] on groups and designs, and Blake-Mullin [1] on coding theory, whereas no compre hensive book exists on (a) and (b).

Journal of Research of the National Bureau of Standards

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Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Journal of Research of the National Bureau of Standards by : United States. National Bureau of Standards

Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1962 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Information Theory with Applications

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Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Information Theory with Applications by : Silviu Guiașu

Download or read book Information Theory with Applications written by Silviu Guiașu and published by McGraw-Hill Companies. This book was released on 1977 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Nonextensive Statistical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387853596
Total Pages : 389 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Introduction to Nonextensive Statistical Mechanics by : Constantino Tsallis

Download or read book Introduction to Nonextensive Statistical Mechanics written by Constantino Tsallis and published by Springer Science & Business Media. This book was released on 2009-03-03 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics, in particular, obviously walks along these paths since its very beginning. This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell, Boltzmann and Gibbs, the BG theory exhibits uncountable – some of them impressive – successes in physics, chemistry, mathematics, and computational sciences, to name a few. Presently, more than two thousand publications, by over 1800 scientists around the world, have been dedicated to the nonextensive generalization. Remarkable applications have emerged, and its mathematical grounding is by now relatively well established. A pedagogical introduction to its concepts – nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, generalization of the standard CLT’s, among others – is presented in this book as well as a selection of paradigmatic applications in various sciences together with diversified experimental verifications of some of its predictions. This is the first pedagogical book on the subject, written by the proponent of the theory Presents many applications to interdisciplinary complex phenomena in virtually all sciences, ranging from physics to medicine, from economics to biology, through signal and image processing and others Offers a detailed derivation of results, illustrations and for the first time detailed presentation of Nonextensive Statistical Mechanics

Incidence Algebras

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Publisher : Routledge
ISBN 13 : 1351439014
Total Pages : 352 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Incidence Algebras by : Eugene Spiegel

Download or read book Incidence Algebras written by Eugene Spiegel and published by Routledge. This book was released on 2022-01-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.

Statistical Inference

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Publisher : CRC Press
ISBN 13 : 1420099663
Total Pages : 424 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Statistical Inference by : Ayanendranath Basu

Download or read book Statistical Inference written by Ayanendranath Basu and published by CRC Press. This book was released on 2011-06-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many ways, estimation by an appropriate minimum distance method is one of the most natural ideas in statistics. However, there are many different ways of constructing an appropriate distance between the data and the model: the scope of study referred to by "Minimum Distance Estimation" is literally huge. Filling a statistical resource gap, Stati

Nonextensive Statistical Mechanics and Its Applications

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Publisher : Springer
ISBN 13 : 354040919X
Total Pages : 280 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Nonextensive Statistical Mechanics and Its Applications by : Sumiyoshi Abe

Download or read book Nonextensive Statistical Mechanics and Its Applications written by Sumiyoshi Abe and published by Springer. This book was released on 2008-01-11 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics. This generalization of the well-known Boltzmann--Gibbs theory enables the study of systems with long-range interactions, long-term memories or multi-fractal structures. This book consists of a set of self-contained lectures and includes additional contributions where some of the latest developments -- ranging from astro- to biophysics -- are covered. Addressing primarily graduate students and lecturers, this book will also be a useful reference for all researchers working in the field.

Combinatorial Geometries

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Publisher : Cambridge University Press
ISBN 13 : 9780521333399
Total Pages : 230 pages
Book Rating : 4.3/5 (333 download)

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Book Synopsis Combinatorial Geometries by : Neil White

Download or read book Combinatorial Geometries written by Neil White and published by Cambridge University Press. This book was released on 1987-09-24 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatisations, followed by one on matching theory. The next two deal with transversal and simplicial matroids. These are followed by studies of the important matroid invariants. The final chapter deals with matroids in combinatorial optimisation, a topic of much current interest. The whole volume has been carefully edited to ensure a uniform style and notation throughout, and to make a work that can be used as a reference or as an introductory textbook for graduate students or non-specialists.

IRE Transactions on Information Theory

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Publisher :
ISBN 13 :
Total Pages : 1082 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis IRE Transactions on Information Theory by :

Download or read book IRE Transactions on Information Theory written by and published by . This book was released on 1961 with total page 1082 pages. Available in PDF, EPUB and Kindle. Book excerpt: