Greedy Approximation

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Greedy Approximation

Author : Vladimir Temlyakov
Publisher : Cambridge University Press
ISBN 13 : 1139502808
Total Pages : 433 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Greedy Approximation by : Vladimir Temlyakov

Download or read book Greedy Approximation written by Vladimir Temlyakov and published by Cambridge University Press. This book was released on 2011-09-08 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first book on greedy approximation gives a systematic presentation of the fundamental results. It also contains an introduction to two hot topics in numerical mathematics: learning theory and compressed sensing. Nonlinear approximation is becoming increasingly important, especially since two types are frequently employed in applications: adaptive methods are used in PDE solvers, while m-term approximation is used in image/signal/data processing, as well as in the design of neural networks. The fundamental question of nonlinear approximation is how to devise good constructive methods (algorithms) and recent results have established that greedy type algorithms may be the solution. The author has drawn on his own teaching experience to write a book ideally suited to graduate courses. The reader does not require a broad background to understand the material. Important open problems are included to give students and professionals alike ideas for further research.

Approximation Algorithms for Combinatorial Optimization

Author : Klaus Jansen
Publisher : Springer Science & Business Media
ISBN 13 : 3540679960
Total Pages : 290 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Approximation Algorithms for Combinatorial Optimization by : Klaus Jansen

Download or read book Approximation Algorithms for Combinatorial Optimization written by Klaus Jansen and published by Springer Science & Business Media. This book was released on 2000-08-25 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2000, held in Saarbrücken, Germany in September 2000. The 22 revised full papers presented together with four invited contributions were carefully reviewed and selected from 68 submissions. The topics dealt with include design and analysis of approximation algorithms, inapproximibility results, on-line problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and various applications.

Acta Numerica 2008: Volume 17

Author : A. Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521516426
Total Pages : 424 pages
Book Rating : 4.5/5 (164 download)

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Book Synopsis Acta Numerica 2008: Volume 17 by : A. Iserles

Download or read book Acta Numerica 2008: Volume 17 written by A. Iserles and published by Cambridge University Press. This book was released on 2008-06-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.

New Trends in Applied Harmonic Analysis

Author : Akram Aldroubi
Publisher : Birkhäuser
ISBN 13 : 3319278738
Total Pages : 334 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis New Trends in Applied Harmonic Analysis by : Akram Aldroubi

Download or read book New Trends in Applied Harmonic Analysis written by Akram Aldroubi and published by Birkhäuser. This book was released on 2016-04-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and cover both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics.

Learning with Kernels

Author : Bernhard Schölkopf
Publisher : MIT Press
ISBN 13 : 9780262194754
Total Pages : 658 pages
Book Rating : 4.1/5 (947 download)

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Book Synopsis Learning with Kernels by : Bernhard Schölkopf

Download or read book Learning with Kernels written by Bernhard Schölkopf and published by MIT Press. This book was released on 2002 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to Support Vector Machines and related kernel methods.

Sparse Polynomial Approximation of High-Dimensional Functions

Author : Ben Adcock
Publisher : SIAM
ISBN 13 : 161197688X
Total Pages : 310 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Sparse Polynomial Approximation of High-Dimensional Functions by : Ben Adcock

Download or read book Sparse Polynomial Approximation of High-Dimensional Functions written by Ben Adcock and published by SIAM. This book was released on 2022-02-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over seventy years ago, Richard Bellman coined the term “the curse of dimensionality” to describe phenomena and computational challenges that arise in high dimensions. These challenges, in tandem with the ubiquity of high-dimensional functions in real-world applications, have led to a lengthy, focused research effort on high-dimensional approximation—that is, the development of methods for approximating functions of many variables accurately and efficiently from data. This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering. It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric differential equations. It then describes methods for computing sparse polynomial approximations, focusing on least squares and compressed sensing techniques. Sparse Polynomial Approximation of High-Dimensional Functions presents the first comprehensive and unified treatment of polynomial approximation techniques that can mitigate the curse of dimensionality in high-dimensional approximation, including least squares and compressed sensing. It develops main concepts in a mathematically rigorous manner, with full proofs given wherever possible, and it contains many numerical examples, each accompanied by downloadable code. The authors provide an extensive bibliography of over 350 relevant references, with an additional annotated bibliography available on the book’s companion website (www.sparse-hd-book.com). This text is aimed at graduate students, postdoctoral fellows, and researchers in mathematics, computer science, and engineering who are interested in high-dimensional polynomial approximation techniques.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Author : Klaus Jansen
Publisher : Springer Science & Business Media
ISBN 13 : 3540228942
Total Pages : 436 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by : Klaus Jansen

Download or read book Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques written by Klaus Jansen and published by Springer Science & Business Media. This book was released on 2004-08-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Topics in Classical Analysis and Applications in Honor of Daniel Waterman

Author :
Publisher :
ISBN 13 : 9814469998
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topics in Classical Analysis and Applications in Honor of Daniel Waterman by :

Download or read book Topics in Classical Analysis and Applications in Honor of Daniel Waterman written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis, Probability and Applications – Plenary Lectures

Author : Tao Qian
Publisher : Springer
ISBN 13 : 3319419455
Total Pages : 336 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematical Analysis, Probability and Applications – Plenary Lectures by : Tao Qian

Download or read book Mathematical Analysis, Probability and Applications – Plenary Lectures written by Tao Qian and published by Springer. This book was released on 2016-08-25 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

Advances in Information Retrieval Theory

Author : Leif Azzopardi
Publisher : Springer Science & Business Media
ISBN 13 : 3642044166
Total Pages : 399 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Advances in Information Retrieval Theory by : Leif Azzopardi

Download or read book Advances in Information Retrieval Theory written by Leif Azzopardi and published by Springer Science & Business Media. This book was released on 2009-08-31 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on the Theory of Information Retrieval, ICTIR 2009, held in Cambridge, UK, in September 2009. The 18 revised full papers, 14 short papers, and 11 posters presented together with one invited talk were carefully reviewed and selected from 82 submissions. The papers are categorized into four main themes: novel IR models, evaluation, efficiency, and new perspectives in IR. Twenty-one papers fall into the general theme of novel IR models, ranging from various retrieval models, query and term selection models, Web IR models, developments in novelty and diversity, to the modeling of user aspects. There are four papers on new evaluation methodologies, e.g., modeling score distributions, evaluation over sessions, and an axiomatic framework for XML retrieval evaluation. Three papers focus on the issue of efficiency and offer solutions to improve the tractability of PageRank, data cleansing practices for training classifiers, and approximate search for distributed IR. Finally, four papers look into new perspectives of IR and shed light on some new emerging areas of interest, such as the application and adoption of quantum theory in IR.

Darkweb Cyber Threat Intelligence Mining

Author : John Robertson
Publisher : Cambridge University Press
ISBN 13 : 1107185777
Total Pages : 149 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Darkweb Cyber Threat Intelligence Mining by : John Robertson

Download or read book Darkweb Cyber Threat Intelligence Mining written by John Robertson and published by Cambridge University Press. This book was released on 2017-04-04 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes techniques and results in cyber threat intelligence from the center of the malicious hacking underworld - the dark web.

Approximation and Online Algorithms

Author : Thomas Erlebach
Publisher : Springer
ISBN 13 : 3540695141
Total Pages : 346 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Approximation and Online Algorithms by : Thomas Erlebach

Download or read book Approximation and Online Algorithms written by Thomas Erlebach and published by Springer. This book was released on 2007-01-25 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 4th International Workshop on Approximation and Online Algorithms, WAOA 2006, held in Zurich, Switzerland in September 2006 as part of the ALGO 2006 conference event. The 26 revised full papers presented were carefully reviewed and selected from 62 submissions.

Handbook of Approximation Algorithms and Metaheuristics

Author : Teofilo F. Gonzalez
Publisher : CRC Press
ISBN 13 : 1351236415
Total Pages : 798 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Handbook of Approximation Algorithms and Metaheuristics by : Teofilo F. Gonzalez

Download or read book Handbook of Approximation Algorithms and Metaheuristics written by Teofilo F. Gonzalez and published by CRC Press. This book was released on 2018-05-15 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Design of Approximation Algorithms

Author : David P. Williamson
Publisher : Cambridge University Press
ISBN 13 : 9780521195270
Total Pages : 518 pages
Book Rating : 4.1/5 (952 download)

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Book Synopsis The Design of Approximation Algorithms by : David P. Williamson

Download or read book The Design of Approximation Algorithms written by David P. Williamson and published by Cambridge University Press. This book was released on 2011-04-26 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

Middleware 2008

Author : Valérie Issarny
Publisher : Springer
ISBN 13 : 3540898565
Total Pages : 434 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Middleware 2008 by : Valérie Issarny

Download or read book Middleware 2008 written by Valérie Issarny and published by Springer. This book was released on 2008-11-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Middleware Con- rence, held in Leuven, Belgium during December 1–4, 2008. This year marked the ninth rendition of this annual conference in its current format initially - opted in 1998, aspiring to serve as the premier venue focusing exclusively on important middleware results. A lot has happened over the intervening 10-year span. Middleware has become pervasive in an increasinglyinterconnected world, with its concepts now securely embedded in the notional architectures driving forward the information age. The conference continues to be a focal point for important new initiatives and results for new generations of middleware. With each succeeding year, it has become an even more competitive publishing venue, further extending its selectivity this year as well. Of the 117 submissions, - ly 21 were able to receive acceptance invitations, for an acceptance rate of less than18%. Competitiveindeed. Additionally,thesesubmissionscontinuetocome from all over the globe, spanning authors from 23 countries. A truly world-wide endeavor. But other things have also changed as we turn the corner on the ?rst decade of this conference. In many ways, middleware has achieved signi?cant success where it really counts: in terms of technical innovations, advanced capabilities, successful ideas, and ?elded systems which permeate society, industry, gov- nment, and academia. With this success comes maturity.

Lectures on Global Optimization

Author : Thomas Frederick Coleman
Publisher : American Mathematical Soc.
ISBN 13 : 0821844857
Total Pages : 257 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Global Optimization by : Thomas Frederick Coleman

Download or read book Lectures on Global Optimization written by Thomas Frederick Coleman and published by American Mathematical Soc.. This book was released on 2009 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of mathematical models in many diverse areas of science and engineering have lead to the formulation of optimization problems where the best solution (globally optimal) is needed. This book covers a small subset of important topics in global optimization with emphasis on theoretical developments and scientific applications.

Combinatorial Optimization and Applications

Author : Weifan Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3642226159
Total Pages : 573 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Combinatorial Optimization and Applications by : Weifan Wang

Download or read book Combinatorial Optimization and Applications written by Weifan Wang and published by Springer Science & Business Media. This book was released on 2011-07-20 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Combinatorial Optimization and Applications, COCOA 2011, held in Zhangjiajie, China, in August 2011. The 43 revised full papers were carefully reviewed and selected from 65 submissions. The papers cover a broad range of topics in combinatorial optimization and applications focussing on experimental and applied research of general algorithmic interest and research motivated by real-world problems.