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Matching Theory

Author: László Lovász

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 610

ISBN-13: 0821847597

This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to play, in the development of some of these areas. Besides basic results on the existence of matchings and on the matching structure of graphs, the impact of matching theory is discussed by providing crucial special cases and nontrivial examples on matroid theory, algorithms, and polyhedral combinatorics. The new Appendix outlines how the theory and applications of matching theory have continued to develop since the book was first published in 1986, by launching (among other things) the Markov Chain Monte Carlo method.

Matching Theory for Wireless Networks

Author: Zhu Han

Publisher: Springer

Published: 2017-04-25

Total Pages: 116

ISBN-13: 3319562525

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This book provides the fundamental knowledge of the classical matching theory problems. It builds up the bridge between the matching theory and the 5G wireless communication resource allocation problems. The potentials and challenges of implementing the semi-distributive matching theory framework into the wireless resource allocations are analyzed both theoretically and through implementation examples. Academics, researchers, engineers, and so on, who are interested in efficient distributive wireless resource allocation solutions, will find this book to be an exceptional resource.

Statistical Matching

Author: Marcello D'Orazio

Publisher: John Wiley & Sons

Published: 2006-03-30

Total Pages: 268

ISBN-13: 0470023546

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There is more statistical data produced in today’s modern society than ever before. This data is analysed and cross-referenced for innumerable reasons. However, many data sets have no shared element and are harder to combine and therefore obtain any meaningful inference from. Statistical matching allows just that; it is the art of combining information from different sources (particularly sample surveys) that contain no common unit. In response to modern influxes of data, it is an area of rapidly growing interest and complexity. Statistical Matching: Theory and Practice introduces the basics of statistical matching, before going on to offer a detailed, up-to-date overview of the methods used and an examination of their practical applications. Presents a unified framework for both theoretical and practical aspects of statistical matching. Provides a detailed description covering all the steps needed to perform statistical matching. Contains a critical overview of the available statistical matching methods. Discusses all the major issues in detail, such as the Conditional Independence Assumption and the assessment of uncertainty. Includes numerous examples and applications, enabling the reader to apply the methods in their own work. Features an appendix detailing algorithms written in the R language. Statistical Matching: Theory and Practice presents a comprehensive exploration of an increasingly important area. Ideal for researchers in national statistics institutes and applied statisticians, it will also prove to be an invaluable text for scientists and researchers from all disciplines engaged in the multivariate analysis of data collected from different sources.

Two-Sided Matching

Author: Alvin E. Roth

Publisher: Cambridge University Press

Published: 1992-06-26

Total Pages: 288

ISBN-13: 1107782430

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Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions. 'This book chronicles one of the outstanding success stories of the theory of games, a story in which the authors have played a major role: the theory and practice of matching markets ... The authors are to be warmly congratulated for this fine piece of work, which is quite unique in the game-theoretic literature.' From the Foreword by Robert Aumann

Best Matching Theory & Applications

Author: Mohsen Moghaddam

Publisher: Springer

Published: 2016-10-26

Total Pages: 231

ISBN-13: 3319460706

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Mismatch or best match? This book demonstrates that best matching of individual entities to each other is essential to ensure smooth conduct and successful competitiveness in any distributed system, natural and artificial. Interactions must be optimized through best matching in planning and scheduling, enterprise network design, transportation and construction planning, recruitment, problem solving, selective assembly, team formation, sensor network design, and more. Fundamentals of best matching in distributed and collaborative systems are explained by providing: § Methodical analysis of various multidimensional best matching processes § Comprehensive taxonomy, comparing different best matching problems and processes § Systematic identification of systems’ hierarchy, nature of interactions, and distribution of decision-making and control functions § Practical formulation of solutions based on a library of best matching algorithms and protocols, ready for direct applications and apps development. Designed for both academics and practitioners, oriented to systems engineers and applied operations researchers, diverse types of best matching processes are explained in production, manufacturing, business and service, based on a new reference model developed at Purdue University PRISM Center: “The PRISM Taxonomy of Best Matching”. The book concludes with major challenges and guidelines for future basic and applied research in the area of best matching.

Template Matching Techniques in Computer Vision

Author: Roberto Brunelli

Publisher: John Wiley & Sons

Published: 2009-04-29

Total Pages: 348

ISBN-13: 9780470744048

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The detection and recognition of objects in images is a key research topic in the computer vision community. Within this area, face recognition and interpretation has attracted increasing attention owing to the possibility of unveiling human perception mechanisms, and for the development of practical biometric systems. This book and the accompanying website, focus on template matching, a subset of object recognition techniques of wide applicability, which has proved to be particularly effective for face recognition applications. Using examples from face processing tasks throughout the book to illustrate more general object recognition approaches, Roberto Brunelli: examines the basics of digital image formation, highlighting points critical to the task of template matching; presents basic and advanced template matching techniques, targeting grey-level images, shapes and point sets; discusses recent pattern classification paradigms from a template matching perspective; illustrates the development of a real face recognition system; explores the use of advanced computer graphics techniques in the development of computer vision algorithms. Template Matching Techniques in Computer Vision is primarily aimed at practitioners working on the development of systems for effective object recognition such as biometrics, robot navigation, multimedia retrieval and landmark detection. It is also of interest to graduate students undertaking studies in these areas.

Statistical Matching

Author: Susanne Rässler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 260

ISBN-13: 1461300533

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Government policy questions and media planning tasks may be answered by this data set. It covers a wide range of different aspects of statistical matching that in Europe typically is called data fusion. A book about statistical matching will be of interest to researchers and practitioners, starting with data collection and the production of public use micro files, data banks, and data bases. People in the areas of database marketing, public health analysis, socioeconomic modeling, and official statistics will find it useful.

Matching Theory

Author: M.D. Plummer

Publisher: Elsevier

Published: 1986-06-01

Total Pages: 543

ISBN-13: 9780080872322

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This study of matching theory deals with bipartite matching, network flows, and presents fundamental results for the non-bipartite case. It goes on to study elementary bipartite graphs and elementary graphs in general. Further discussed are 2-matchings, general matching problems as linear programs, the Edmonds Matching Algorithm (and other algorithmic approaches), f-factors and vertex packing.

Theory of Power Matching

Author: János Ladvánszky

Publisher: Springer

Published: 2019-05-13

Total Pages: 76

ISBN-13: 3030166317

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This book describes the development of the power matching problem. It starts with the derivative-free proof of conjugate matching, goes through the nonlinear, resistive maximum power theorem and its reversal, extension of the concept of equivalence in the case of nonlinear circuits, application of the nonlinear, and resistive maximum power theorem for diode measurement. The author treats practically important special cases of nonlinear, dynamic power matching with applications, and the most general solution that is not realizable.

Broadband Matching

Author: Wai-Kai Chen

Publisher: World Scientific

Published: 2015-10-13

Total Pages: 880

ISBN-13: 9814619086

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The third edition presents a unified, up-to-date and detailed account of broadband matching theory and its applications to the design of broadband matching networks and amplifiers. A special feature is the addition of results that are of direct practical value. They are design curves, tables and explicit formulas for designing networks having Butterworth, Chebyshev or elliptic, Bessel or maximally flat group-delay response. These results are extremely useful as the design procedures can be reduced to simple arithmetic. Two case studies towards the end of the book are intended to demonstrate the applications to the practical design of modern filter circuits. Contents:Foundations of Network TheoryThe Scattering MatrixApproximation and Ladder RealizationTheory of Broadband Matching: The Passive LoadTheory of Broadband Matching: The Active LoadExplicit Design Formulas for Broadband Matching NetworksBroadband Matching of Frequency-Dependent Source and LoadReal-Frequency Solutions of the Broadband Matching ProblemThe Maximally-Flat Time Delay Approximation: The Bessel–Thomson ResponseDiplexer and Multiplexer Design Readership: Students in Electrical and Electronics Engineering, Network Engineering, Broadband Engineering. Keywords:Filters;Broadband Matching;Network Theory;Scattering Matrix;Approximation;Ladder Realization;Active Load Match;Passive Load Match;Explicit Formulas;Circuits;Broadband Limitation;Matching Networks;Passive Filters;Filter Characteristics;Frequency Dependent Load;Frequency Dependent Source;Real Frequency Solutions