Recent Advances In Real Complexity And Computation

Author : Luis M. Pardo,Jose Luis Montaña
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 41,7 Mb
Release : 2014-11-12
Category : Computers
ISBN : 9780821891506

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Recent Advances in Real Complexity and Computation by Luis M. Pardo,Jose Luis Montaña Pdf

This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.

Author : Jin-yi Cai
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 52,6 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0821885758

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Advances in Computational Complexity Theory by Jin-yi Cai Pdf

* Recent papers on computational complexity theory * Contributions by some of the leading experts in the field This book will prove to be of lasting value in this fast-moving field as it provides expositions not found elsewhere. The book touches on some of the major topics in complexity theory and thus sheds light on this burgeoning area of research.

Author : José Luis Montaña,Luis M. Pardo
Publisher : Unknown
Page : 185 pages
File Size : 47,7 Mb
Release : 2013
Category : Computational complexity
ISBN : 1470414090

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Recent Advances in Real Complexity and Computation by José Luis Montaña,Luis M. Pardo Pdf

Author : Lenore Blum,Felipe Cucker,Michael Shub,Steve Smale
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461207016

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Complexity and Real Computation by Lenore Blum,Felipe Cucker,Michael Shub,Steve Smale Pdf

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.

Author : Ding-Zhu Du,Ker-I Ko
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 51,5 Mb
Release : 2013-12-01
Category : Computers
ISBN : 9781461333944

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Advances in Algorithms, Languages, and Complexity by Ding-Zhu Du,Ker-I Ko Pdf

This book contains a collection of survey papers in the areas of algorithms, lan guages and complexity, the three areas in which Professor Ronald V. Book has made significant contributions. As a fonner student and a co-author who have been influenced by him directly, we would like to dedicate this book to Professor Ronald V. Book to honor and celebrate his sixtieth birthday. Professor Book initiated his brilliant academic career in 1958, graduating from Grinnell College with a Bachelor of Arts degree. He obtained a Master of Arts in Teaching degree in 1960 and a Master of Arts degree in 1964 both from Wesleyan University, and a Doctor of Philosophy degree from Harvard University in 1969, under the guidance of Professor Sheila A. Greibach. Professor Book's research in discrete mathematics and theoretical com puter science is reflected in more than 150 scientific publications. These works have made a strong impact on the development of several areas of theoretical computer science. A more detailed summary of his scientific research appears in this volume separately.

Author : Ding-Zhu Du,Ker-I Ko
Publisher : John Wiley & Sons
Page : 517 pages
File Size : 45,8 Mb
Release : 2014-06-30
Category : Mathematics
ISBN : 9781118306086

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Theory of Computational Complexity by Ding-Zhu Du,Ker-I Ko Pdf

Praise for the First Edition "... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." —Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research.

Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 48,7 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780521424264

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Computational Complexity by Sanjeev Arora,Boaz Barak Pdf

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Author : Ding-Zhu Du,Ker-I Ko
Publisher : John Wiley & Sons
Page : 511 pages
File Size : 49,8 Mb
Release : 2011-10-24
Category : Mathematics
ISBN : 9781118031162

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Theory of Computational Complexity by Ding-Zhu Du,Ker-I Ko Pdf

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.

Author : Benedikt Löwe,Boris Piwinger,Thoralf Räsch
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 45,6 Mb
Release : 2007-11-04
Category : Computers
ISBN : 9781402027765

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Classical and New Paradigms of Computation and their Complexity Hierarchies by Benedikt Löwe,Boris Piwinger,Thoralf Räsch Pdf

The notion of complexity is an important contribution of logic to theoretical computer science and mathematics. This volume attempts to approach complexity in a holistic way, investigating mathematical properties of complexity hierarchies at the same time as discussing algorithms and computational properties. A main focus of the volume is on some of the new paradigms of computation, among them Quantum Computing and Infinitary Computation. The papers in the volume are tied together by an introductory article describing abstract properties of complexity hierarchies. This volume will be of great interest to both mathematical logicians and theoretical computer scientists, providing them with new insights into the various views of complexity and thus shedding new light on their own research.

Author : Benjamin Doerr,Frank Neumann
Publisher : Springer Nature
Page : 506 pages
File Size : 42,8 Mb
Release : 2019-11-20
Category : Computers
ISBN : 9783030294144

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Theory of Evolutionary Computation by Benjamin Doerr,Frank Neumann Pdf

This edited book reports on recent developments in the theory of evolutionary computation, or more generally the domain of randomized search heuristics. It starts with two chapters on mathematical methods that are often used in the analysis of randomized search heuristics, followed by three chapters on how to measure the complexity of a search heuristic: black-box complexity, a counterpart of classical complexity theory in black-box optimization; parameterized complexity, aimed at a more fine-grained view of the difficulty of problems; and the fixed-budget perspective, which answers the question of how good a solution will be after investing a certain computational budget. The book then describes theoretical results on three important questions in evolutionary computation: how to profit from changing the parameters during the run of an algorithm; how evolutionary algorithms cope with dynamically changing or stochastic environments; and how population diversity influences performance. Finally, the book looks at three algorithm classes that have only recently become the focus of theoretical work: estimation-of-distribution algorithms; artificial immune systems; and genetic programming. Throughout the book the contributing authors try to develop an understanding for how these methods work, and why they are so successful in many applications. The book will be useful for students and researchers in theoretical computer science and evolutionary computing.

Author : S.B. Cooper,Benedikt Löwe,Andrea Sorbi
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 46,5 Mb
Release : 2007-11-28
Category : Computers
ISBN : 9780387685465

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New Computational Paradigms by S.B. Cooper,Benedikt Löwe,Andrea Sorbi Pdf

This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.

Author : Levente Kovács,Tamás Haidegger,Anikó Szakál
Publisher : Springer
Page : 307 pages
File Size : 43,5 Mb
Release : 2019-03-15
Category : Technology & Engineering
ISBN : 9783030143503

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Recent Advances in Intelligent Engineering by Levente Kovács,Tamás Haidegger,Anikó Szakál Pdf

This book gathers contributions on fuzzy neural control, intelligent and non-linear control, dynamic systems and cyber-physical systems. It presents the latest theoretical and practical results, including numerous applications of computational intelligence in various disciplines such as engineering, medicine, technology and the environment. The book is dedicated to Imre J. Rudas on his seventieth birthday.

Author : Panayot S Vassilevski,Blagovest H Sendov,Oleg P Iliev,Mikhail S Kaschiev,Svetozar D Margenov
Publisher : World Scientific
Page : 925 pages
File Size : 42,5 Mb
Release : 1999-07-05
Category : Electronic
ISBN : 9789814531856

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Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference by Panayot S Vassilevski,Blagovest H Sendov,Oleg P Iliev,Mikhail S Kaschiev,Svetozar D Margenov Pdf

This volume contains the proceedings of the 4th International Conference on Numerical Methods and Applications. The major topics covered include: general finite difference, finite volume, finite element and boundary element methods, general numerical linear algebra and parallel computations, numerical methods for nonlinear problems and multiscale methods, multigrid and domain decomposition methods, CFD computations, mathematical modeling in structural mechanics, and environmental and engineering applications. The volume reflects the current research trends in the specified areas of numerical methods and their applications.

Author : Herwig Unger,Phayung Meesad,Sirapat Boonkrong
Publisher : Springer
Page : 308 pages
File Size : 42,6 Mb
Release : 2015-06-14
Category : Technology & Engineering
ISBN : 9783319190242

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Recent Advances in Information and Communication Technology 2015 by Herwig Unger,Phayung Meesad,Sirapat Boonkrong Pdf

This book presents recent research work and results in the area of communication and information technologies. The book includes the main results of the 11th International Conference on Computing and Information Technology (IC2IT) held during July 2nd-3rd, 2015 in Bangkok, Thailand. The book is divided into the two main parts Data Mining and Machine Learning as well as Data Network and Communications. New algorithms and methods of data mining asr discussed as well as innovative applications and state-of-the-art technologies on data mining, machine learning and data networking.

Author : Robin Sommer,Davide Balzarotti,Gregor Maier
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 46,9 Mb
Release : 2011-09-01
Category : Computers
ISBN : 9783642236433

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Recent Advances in Intrusion Detection by Robin Sommer,Davide Balzarotti,Gregor Maier Pdf

This book constitutes the proceedings of the 14th International Symposium on Recent Advances in Intrusion Detection, RAID 2011, held in Menlo Park, CA, USA in September 2011. The 20 papers presented were carefully reviewed and selected from 87 submissions. The papers are organized in topical sections on application security; malware; anomaly detection; Web security and social networks; and sandboxing and embedded environments.