On The Power Of Small Depth Computation

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Theoretical Advances In Neural Computation And Learning
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Author : Vwani Roychowdhury
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theoretical Advances In Neural Computation And Learning written by Vwani Roychowdhury 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 Computers categories.
For any research field to have a lasting impact, there must be a firm theoretical foundation. Neural networks research is no exception. Some of the founda tional concepts, established several decades ago, led to the early promise of developing machines exhibiting intelligence. The motivation for studying such machines comes from the fact that the brain is far more efficient in visual processing and speech recognition than existing computers. Undoubtedly, neu robiological systems employ very different computational principles. The study of artificial neural networks aims at understanding these computational prin ciples and applying them in the solutions of engineering problems. Due to the recent advances in both device technology and computational science, we are currently witnessing an explosive growth in the studies of neural networks and their applications. It may take many years before we have a complete understanding about the mechanisms of neural systems. Before this ultimate goal can be achieved, an swers are needed to important fundamental questions such as (a) what can neu ral networks do that traditional computing techniques cannot, (b) how does the complexity of the network for an application relate to the complexity of that problem, and (c) how much training data are required for the resulting network to learn properly? Everyone working in the field has attempted to answer these questions, but general solutions remain elusive. However, encouraging progress in studying specific neural models has been made by researchers from various disciplines.
Theory And Applications Of Models Of Computation
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Author : Mitsunori Ogihara
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-03
Theory And Applications Of Models Of Computation written by Mitsunori Ogihara 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 2011-05-03 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Conference on Theory and Applications of Models of Computation, TAMC 2011, held in Tokyo, Japan, in May 2011. The 51 revised full papers presented together with the abstracts of 2 invited talks were carefully reviewed and selected from 136 submissions. The papers address the three main themes of the conference which were computability, complexity, and algorithms and are organized in topical sections on general algorithms, approximation, graph algorithms, complexity, optimization, circuit complexity, data structures, logic and formal language theory, games and learning theory, and cryptography and communication complexity.
Handbook Of Approximation Algorithms And Metaheuristics
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Author : Teofilo F. Gonzalez
language : en
Publisher: CRC Press
Release Date : 2018-05-15
Handbook Of Approximation Algorithms And Metaheuristics written by Teofilo F. Gonzalez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-15 with Computers categories.
Handbook of Approximation Algorithms and Metaheuristics, Second Edition reflects the tremendous growth in the field, over the past two decades. Through contributions from leading experts, this handbook provides a comprehensive introduction to the underlying theory and methodologies, as well as the various applications of approximation algorithms and metaheuristics. Volume 1 of this two-volume set deals primarily with methodologies and traditional applications. It includes restriction, relaxation, local ratio, approximation schemes, randomization, tabu search, evolutionary computation, local search, neural networks, and other metaheuristics. It also explores multi-objective optimization, reoptimization, sensitivity analysis, and stability. Traditional applications covered include: bin packing, multi-dimensional packing, Steiner trees, traveling salesperson, scheduling, and related problems. Volume 2 focuses on the contemporary and emerging applications of methodologies to problems in combinatorial optimization, computational geometry and graphs problems, as well as in large-scale and emerging application areas. It includes approximation algorithms and heuristics for clustering, networks (sensor and wireless), communication, bioinformatics search, streams, virtual communities, and more. About the Editor Teofilo F. Gonzalez is a professor emeritus of computer science at the University of California, Santa Barbara. He completed his Ph.D. in 1975 from the University of Minnesota. He taught at the University of Oklahoma, the Pennsylvania State University, and the University of Texas at Dallas, before joining the UCSB computer science faculty in 1984. He spent sabbatical leaves at the Monterrey Institute of Technology and Higher Education and Utrecht University. He is known for his highly cited pioneering research in the hardness of approximation; for his sublinear and best possible approximation algorithm for k-tMM clustering; for introducing the open-shop scheduling problem as well as algorithms for its solution that have found applications in numerous research areas; as well as for his research on problems in the areas of job scheduling, graph algorithms, computational geometry, message communication, wire routing, etc.
Computational And Algorithmic Problems In Finite Fields
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Author : Igor Shparlinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational And Algorithmic Problems In Finite Fields written by Igor Shparlinski 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 Mathematics categories.
This volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include polynomial factorization, finding irreducible and primitive polynomials, distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types, and new applications of finite fields to other araes of mathematics. For completeness, also included are two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory, etc.) The problems considered here have many applications in computer science, coding theory, cryptography, number theory and discrete mathematics. The level of discussion presuppose only a knowledge of the basic facts on finite fields, and the book can be recommended as supplementary graduate text. For researchers and students interested in computational and algorithmic problems in finite fields.
Boolean Function Complexity
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Author : Stasys Jukna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-06
Boolean Function Complexity written by Stasys Jukna 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 2012-01-06 with Mathematics categories.
Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.
Fundamentals Of Computation Theory
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Author : Andrzej Lingas
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-29
Fundamentals Of Computation Theory written by Andrzej Lingas 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 2003-07-29 with Computers categories.
This book constitutes the refereed proceedings of the 14th International Symposium Fundamentals of Computation Theory, FCT 2003, held in Malmö, Sweden in August 2003. The 36 revised full papers presented together with an invited paper and the abstracts of 2 invited talks were carefully reviewed and selected from 73 submissions. The papers are organized in topical sections on approximibility, algorithms, networks and complexity, computational biology, computational geometry, computational models and complexity, structural complexity, formal languages, and logic.
Theory And Applications Of Models Of Computation
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Author : Jin-Yi Cai
language : en
Publisher: Springer
Release Date : 2007-07-23
Theory And Applications Of Models Of Computation written by Jin-Yi Cai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-23 with Computers categories.
This book constitutes the refereed proceedings of the 4th International Conference on Theory and Applications of Models of Computation, TAMC 2007, held in Shanghai, China in May 2007. It addresses all major areas in computer science; mathematics, especially logic; and the physical sciences, particularly with regard to computation and computability theory. The papers particularly focus on algorithms, complexity and computability theory.
Foundations Of Software Technology And Theoretical Computer Science
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Author : Vijay Chandru
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-27
Foundations Of Software Technology And Theoretical Computer Science written by Vijay Chandru 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 1996-11-27 with Computers categories.
This book constitutes the refereed proceedings of the 16th International Conference on Foundations of Software Technology and Theoretical Computer Science, FST&TCS '96, held in Hyderabad, India, in December 1996. The volume presents 28 revised full papers selected from a total of 98 submissions; also included are four invited contributions. The papers are organized in topical sections on computational geometry, process algebras, program semantics, algorithms, rewriting and equational-temporal logics, complexity theory, and type theory.
Mathematical Foundations Of Computer Science 2006
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Author : Rastislav Královic
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-11
Mathematical Foundations Of Computer Science 2006 written by Rastislav Královic 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 2006-08-11 with Computers categories.
This book constitutes the refereed proceedings of the 31st International Symposium on Mathematical Foundations of Computer Science, MFCS 2006. The book presents 62 revised full papers together with the full papers or abstracts of 7 invited talks. All current aspects in theoretical computer science and its mathematical foundations are addressed, from algorithms and data structures, to complexity, automata, semantics, logic, formal specifications, models of computation, concurrency theory, computational geometry and more.
Computing And Combinatorics
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Author : Jin-Yi Cai
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-06-05
Computing And Combinatorics written by Jin-Yi Cai 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 1996-06-05 with Computers categories.
This book constitutes the proceedings of the Second Annual International Conference on Computing and Combinatorics, COCOON '96, held in June 1996 in Hong Kong. The 44 papers presented in the book in revised version were carefully selected from a total of 82 submissions. They describe state-of-the-art research results from various areas of theoretical computer science, combinatorics related to computing, and experimental analysis of algorithms; computational graph theory, computational geometry, and networking issues are particularly well-presented.