Complexity And Information

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Information And Complexity

Author : Burgin Mark
Publisher : World Scientific
ISBN 13 : 9813109041
Total Pages : 412 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Information And Complexity by : Burgin Mark

Download or read book Information And Complexity written by Burgin Mark and published by World Scientific. This book was released on 2016-11-28 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity. The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area. The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.

Complexity and Information

Author : J. F. Traub
Publisher : Cambridge University Press
ISBN 13 : 9780521485067
Total Pages : 152 pages
Book Rating : 4.4/5 (85 download)

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Book Synopsis Complexity and Information by : J. F. Traub

Download or read book Complexity and Information written by J. F. Traub and published by Cambridge University Press. This book was released on 1998-12-10 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twin themes of computational complexity and information pervade this 1998 book. It starts with an introduction to the computational complexity of continuous mathematical models, that is, information-based complexity. This is then used to illustrate a variety of topics, including breaking the curse of dimensionality, complexity of path integration, solvability of ill-posed problems, the value of information in computation, assigning values to mathematical hypotheses, and new, improved methods for mathematical finance. The style is informal, and the goals are exposition, insight and motivation. A comprehensive bibliography is provided, to which readers are referred for precise statements of results and their proofs. As the first introductory book on the subject it will be invaluable as a guide to the area for the many students and researchers whose disciplines, ranging from physics to finance, are influenced by the computational complexity of continuous problems.

Information-based Complexity

Author : Joseph Frederick Traub
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Information-based Complexity by : Joseph Frederick Traub

Download or read book Information-based Complexity written by Joseph Frederick Traub and published by . This book was released on 1988 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of information-based complexity, the branch of computational complexity that deals with the intrinsic difficulty of the approximate solution of problems for which the information is partial, noisy, and priced. Such problems arise in many areas including economics, physics, human and robotic vision, scientific and engineering computation, geophysics, decision theory, signal processing and control theory.

Complexity in Information Theory

Author : Yaser S. Abu-Mostafa
Publisher : Springer Science & Business Media
ISBN 13 : 1461237742
Total Pages : 138 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Complexity in Information Theory by : Yaser S. Abu-Mostafa

Download or read book Complexity in Information Theory written by Yaser S. Abu-Mostafa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The means and ends of information theory and computational complexity have grown significantly closer over the past decade. Common analytic tools, such as combinatorial mathematics and information flow arguments, have been the cornerstone of VLSl complexity and cooperative computation. The basic assumption of limited computing resources is the premise for cryptography, where the distinction is made between available information and accessible information. Numerous other examples of common goals and tools between the two disciplines have shaped a new research category of 'information and complexity theory'. This volume is intended to expose to the research community some of the recent significant topics along this theme. The contributions selected here are all very basic, presently active, fairly well-established, and stimulating for substantial follow-ups. This is not an encyclopedia on the subject, it is concerned only with timely contributions of sufficient coherence and promise. The styles of the six chapters cover a wide spectrum from specific mathematical results to surveys of large areas. It is hoped that the technical content and theme of this volume will help establish this general research area. I would like to thank the authors of the chapters for contributing to this volume. I also would like to thank Ed Posner for his initiative to address this subject systematically, and Andy Fyfe and Ruth Erlanson for proofreading some of the chapters.

Managing Complexity of Information Systems

Author : Pirmin P. Lemberger
Publisher : John Wiley & Sons
ISBN 13 : 111856605X
Total Pages : 168 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Managing Complexity of Information Systems by : Pirmin P. Lemberger

Download or read book Managing Complexity of Information Systems written by Pirmin P. Lemberger and published by John Wiley & Sons. This book was released on 2013-01-09 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about complexity in Information Systems (IS). The subject is addressed from both conceptual and applied perspectives. Concepts are drawn from information theory, industrial design and software engineering. Its content capitalizes on experiences gathered by the authors during various contracting jobs involving software architecture, modeling and IS architecture that were conducted for large organizations in the banking and industry sectors, as well as in the public sector. The authors develop the point of view according to which mastering complexity involves two essential steps: first, one should develop a clear understanding of the real nature of complexity within the IS; second, one should identify the primary causes which contribute to its uncontrolled growth and organize these into a logical framework, in order to define efficient countermeasures. Both technical and psychological causes of complexity are to be considered. Two themes make up the main thread of the book: complexity and value. Both themes are quite common when considered separately, but their interplay remains a largely unexplored topic. The analysis of this interplay is one of the sources of originality of this book.

Information and Complexity in Statistical Modeling

Author : Jorma Rissanen
Publisher : Springer Science & Business Media
ISBN 13 : 0387688129
Total Pages : 145 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Information and Complexity in Statistical Modeling by : Jorma Rissanen

Download or read book Information and Complexity in Statistical Modeling written by Jorma Rissanen and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: No statistical model is "true" or "false," "right" or "wrong"; the models just have varying performance, which can be assessed. The main theme in this book is to teach modeling based on the principle that the objective is to extract the information from data that can be learned with suggested classes of probability models. The intuitive and fundamental concepts of complexity, learnable information, and noise are formalized, which provides a firm information theoretic foundation for statistical modeling. Although the prerequisites include only basic probability calculus and statistics, a moderate level of mathematical proficiency would be beneficial.

Content and Complexity

Author : Michael J. Albers
Publisher : Routledge
ISBN 13 : 1135637504
Total Pages : 366 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Content and Complexity by : Michael J. Albers

Download or read book Content and Complexity written by Michael J. Albers and published by Routledge. This book was released on 2014-04-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information design is an emerging area in technical communication, garnering increased attention in recent times as more information is presented through both old and new media. In this volume, editors Michael J. Albers and Beth Mazur bring together scholars and practitioners to explore the issues facing those in this exciting new field. Treating information as it applies to technical communication, with a special emphasis on computer-centric industries, this volume delves into the role of information design in assisting with concepts, such as usability, documenting procedures, and designing for users. Influential members in the technical communication field examine such issues as the application of information design in structuring technical material; innovative ways of integrating information design within development methodologies and social aspects of the workplace; and theoretical approaches that include a practical application of information design, emphasizing the intersection of information design theories and workplace reality. This collection approaches information design from the language-based technical communication side, emphasizing the role of content as it relates to complexity in information design. As such, it treats as paramount the rhetorical and contextual strategies required for the effective design and transmission of information. Content and Complexity: Information Design in Technical Communication explores both theoretical perspectives, as well as the practicalities of information design in areas relevant to technical communicators. This integration of theoretical and applied components make it a practical resource for students, educators, academic researchers, and practitioners in the technical communication and information design fields.

Data Complexity in Pattern Recognition

Author : Mitra Basu
Publisher : Springer Science & Business Media
ISBN 13 : 1846281725
Total Pages : 309 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Data Complexity in Pattern Recognition by : Mitra Basu

Download or read book Data Complexity in Pattern Recognition written by Mitra Basu and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automatic pattern recognition has uses in science and engineering, social sciences and finance. This book examines data complexity and its role in shaping theory and techniques across many disciplines, probing strengths and deficiencies of current classification techniques, and the algorithms that drive them. The book offers guidance on choosing pattern recognition classification techniques, and helps the reader set expectations for classification performance.

Complexity, Entropy And The Physics Of Information

Author : Wojciech H. Zurek
Publisher : CRC Press
ISBN 13 : 0429982518
Total Pages : 548 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Complexity, Entropy And The Physics Of Information by : Wojciech H. Zurek

Download or read book Complexity, Entropy And The Physics Of Information written by Wojciech H. Zurek and published by CRC Press. This book was released on 2018-03-08 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at St. John’s College in Santa Fe under the auspices of the Santa Fe Institute. The (approximately 40) official participants as well as equally numerous “groupies” were enticed to Santa Fe by the above “manifesto.” The book—like the “Complexity, Entropy and the Physics of Information” meeting explores not only the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but it also considers the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe. As a result, the contributions can be divided into distinct sections only with some difficulty. Indeed, I regard this degree of overlapping as a measure of the success of the meeting. It signifies consensus about the important questions and on the anticipated answers: they presumably lie somewhere in the “border territory,” where information, physics, complexity, quantum, and computation all meet.

Incomplete Information: Structure, Inference, Complexity

Author : Stephane P. Demri
Publisher : Springer Science & Business Media
ISBN 13 : 9783540419044
Total Pages : 444 pages
Book Rating : 4.4/5 (19 download)

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Book Synopsis Incomplete Information: Structure, Inference, Complexity by : Stephane P. Demri

Download or read book Incomplete Information: Structure, Inference, Complexity written by Stephane P. Demri and published by Springer Science & Business Media. This book was released on 2002-07-03 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic, exhaustive and up-to-date overview of formal methods and theories for data analysis and inference inspired by the concept of rough set. Throughout, Demri studies structures with incomplete information from the logical, algebraic and computational perspective. The formalisms developed are non-invasive in that only the actual information that is needed in the process of analysis without external sources of information being required. The book is self-contained to a large degree, providing detailed derivations of most of the technical results, and is intended for researchers, lecturers and graduate students.

Visual Complexity

Author : Manuel Lima
Publisher : Princeton Architectural Press
ISBN 13 : 9781616892197
Total Pages : 272 pages
Book Rating : 4.8/5 (921 download)

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Book Synopsis Visual Complexity by : Manuel Lima

Download or read book Visual Complexity written by Manuel Lima and published by Princeton Architectural Press. This book was released on 2013-09-10 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manuel Lima's smash hit Visual Complexity is now available in paperback. This groundbreaking 2011 book—the first to combine a thorough history of information visualization with a detailed look at today's most innovative applications—clearly illustrates why making meaningful connections inside complex data networks has emerged as one of the biggest challenges in twenty-first-century design. From diagramming networks of friends on Facebook to depicting interactions among proteins in a human cell, Visual Complexity presents one hundred of the most interesting examples of informationvisualization by the field's leading practitioners.

Complexity and Real Computation

Author : Lenore Blum
Publisher : Springer Science & Business Media
ISBN 13 : 1461207010
Total Pages : 456 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Complexity and Real Computation by : Lenore Blum

Download or read book Complexity and Real Computation written by Lenore Blum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.

Computational Complexity

Author : Sanjeev Arora
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Theory of Computational Complexity

Author : Ding-Zhu Du
Publisher : John Wiley & Sons
ISBN 13 : 1118031164
Total Pages : 511 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Theory of Computational Complexity by : Ding-Zhu Du

Download or read book Theory of Computational Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete treatment of fundamentals and recent advances in complexity theory Complexity theory studies the inherent difficulties of solving algorithmic problems by digital computers. This comprehensive work discusses the major topics in complexity theory, including fundamental topics as well as recent breakthroughs not previously available in book form. Theory of Computational Complexity offers a thorough presentation of the fundamentals of complexity theory, including NP-completeness theory, the polynomial-time hierarchy, relativization, and the application to cryptography. It also examines the theory of nonuniform computational complexity, including the computational models of decision trees and Boolean circuits, and the notion of polynomial-time isomorphism. The theory of probabilistic complexity, which studies complexity issues related to randomized computation as well as interactive proof systems and probabilistically checkable proofs, is also covered. Extraordinary in both its breadth and depth, this volume: * Provides complete proofs of recent breakthroughs in complexity theory * Presents results in well-defined form with complete proofs and numerous exercises * Includes scores of graphs and figures to clarify difficult material An invaluable resource for researchers as well as an important guide for graduate and advanced undergraduate students, Theory of Computational Complexity is destined to become the standard reference in the field.

An Introduction to Kolmogorov Complexity and Its Applications

Author : Ming Li
Publisher : Springer Science & Business Media
ISBN 13 : 1475726066
Total Pages : 655 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Ming Li

Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Ming Li and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).

Communication Complexity and Parallel Computing

Author : Juraj Hromkovič
Publisher : Springer Science & Business Media
ISBN 13 : 3662034425
Total Pages : 347 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Communication Complexity and Parallel Computing by : Juraj Hromkovič

Download or read book Communication Complexity and Parallel Computing written by Juraj Hromkovič and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The communication complexity of two-party protocols is an only 15 years old complexity measure, but it is already considered to be one of the fundamen tal complexity measures of recent complexity theory. Similarly to Kolmogorov complexity in the theory of sequential computations, communication complex ity is used as a method for the study of the complexity of concrete computing problems in parallel information processing. Especially, it is applied to prove lower bounds that say what computer resources (time, hardware, memory size) are necessary to compute the given task. Besides the estimation of the compu tational difficulty of computing problems the proved lower bounds are useful for proving the optimality of algorithms that are already designed. In some cases the knowledge about the communication complexity of a given problem may be even helpful in searching for efficient algorithms to this problem. The study of communication complexity becomes a well-defined indepen dent area of complexity theory. In addition to a strong relation to several funda mental complexity measures (and so to several fundamental problems of com plexity theory) communication complexity has contributed to the study and to the understanding of the nature of determinism, nondeterminism, and random ness in algorithmics. There already exists a non-trivial mathematical machinery to handle the communication complexity of concrete computing problems, which gives a hope that the approach based on communication complexity will be in strumental in the study of several central open problems of recent complexity theory.

Introduction to Complexity and Complex Systems

Author : Robert B. Northrop
Publisher : CRC Press
ISBN 13 : 1439894981
Total Pages : 551 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Introduction to Complexity and Complex Systems by : Robert B. Northrop

Download or read book Introduction to Complexity and Complex Systems written by Robert B. Northrop and published by CRC Press. This book was released on 2010-12-10 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundaries between simple and complicated, and complicated and complex system designations are fuzzy and debatable, even using quantitative measures of complexity. However, if you are a biomedical engineer, a biologist, physiologist, economist, politician, stock market speculator, or politician, you have encountered complex systems. Furthermore, your success depends on your ability to successfully interact with and manage a variety of complex systems. In order not to be blindsided by unexpected results, we need a systematic, comprehensive way of analyzing, modeling, and simulating complex systems to predict non-anticipated outcomes. In its engaging first chapters, the book introduces complex systems, Campbell's Law, and the Law of Unintended Consequences, and mathematics necessary for conversations in complex systems. Subsequent chapters illustrate concepts via commonly studied biological mechanisms. The final chapters focus on higher-level complexity problems, and introduce complexity in economic systems. Designed as a reference for biologists and biological engineers, Introduction to Complexity and Complex Systems lends itself to use in a classroom course to introduce advanced students studying biomedical engineering, biophysics, or physiology to complex systems. Engaging and illustrative, this book aids scientists and decision makers in managing biological complexity and complex systems.