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Matching Theory by László Lovász,M. D. Plummer Pdf
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 by Zhu Han,Yunan Gu,Walid Saad Pdf
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.
Best Matching Theory & Applications by Mohsen Moghaddam,Shimon Y. Nof Pdf
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.
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.
Statistical Matching by Marcello D'Orazio,Marco Di Zio,Mauro Scanu Pdf
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.
Algorithmics of Matching Under Preferences by David F Manlove Pdf
Matching problems with preferences are all around us: they arise when agents seek to be allocated to one another on the basis of ranked preferences over potential outcomes. Efficient algorithms are needed for producing matchings that optimise the satisfaction of the agents according to their preference lists. In recent years there has been a sharp increase in the study of algorithmic aspects of matching problems with preferences, partly reflecting the growing number of applications of these problems worldwide. The importance of the research area was recognised in 2012 through the award of the Nobel Prize in Economic Sciences to Alvin Roth and Lloyd Shapley. This book describes the most important results in this area, providing a timely update to The Stable Marriage Problem: Structure and Algorithms (D Gusfield and R W Irving, MIT Press, 1989) in connection with stable matching problems, whilst also broadening the scope to include matching problems with preferences under a range of alternative optimality criteria. Contents:Preliminary Definitions, Results and MotivationStable Matching Problems:The Stable Marriage Problem: An UpdateSM and HR with IndifferenceThe Stable Roommates ProblemFurther Stable Matching ProblemsOther Optimal Matching Problems:Pareto Optimal MatchingsPopular MatchingsProfile-Based Optimal Matchings Readership: Students and Professionals interested in algorithms, especially in the study of algorithmic aspects of matching problems with preferences. Keywords:Matching Problems;Preferences;Algorithms;Stable Marriage Problem;Hospitals / Residents Problem;House Allocation Problem;Stable Roomates ProblemKey Features:Provides a much-needed “sequel” to Gusfield and Irving, given that so many papers on matching problems with preferences have been published since 1989Collects together a survey of the main results from these publications in a single volumeContains unique single survey on efficient algorithms for constructing optimal matchings where the optimality criterion does not involve stabilityReviews: “Besides being extremely useful to those who are interested in design and analysis techniques related to algorithms and complexity issues related to the matching of agents to one another when preferences are involved, involved readers can also benefit from the easy way it presents various ideas and approaches to problem solutions. It is written in a highly scientific language and it is extraordinarily beneficial reading for post-docs and researchers in mathematics and in game theory that focus on algorithms for solving matching problems and also study applications involving such problems.” Zentralblatt MATH
Two-Sided Matching by Alvin E. Roth,Marilda A. Oliveira Sotomayor Pdf
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.
Template Matching Techniques in Computer Vision by Roberto Brunelli Pdf
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.
Artificial Intelligence and Soft Computing by Amit Konar Pdf
With all the material available in the field of artificial intelligence (AI) and soft computing-texts, monographs, and journal articles-there remains a serious gap in the literature. Until now, there has been no comprehensive resource accessible to a broad audience yet containing a depth and breadth of information that enables the reader to fully understand and readily apply AI and soft computing concepts. Artificial Intelligence and Soft Computing fills this gap. It presents both the traditional and the modern aspects of AI and soft computing in a clear, insightful, and highly comprehensive style. It provides an in-depth analysis of mathematical models and algorithms and demonstrates their applications in real world problems. Beginning with the behavioral perspective of "human cognition," the text covers the tools and techniques required for its intelligent realization on machines. The author addresses the classical aspects-search, symbolic logic, planning, and machine learning-in detail and includes the latest research in these areas. He introduces the modern aspects of soft computing from first principles and discusses them in a manner that enables a beginner to grasp the subject. He also covers a number of other leading aspects of AI research, including nonmonotonic and spatio-temporal reasoning, knowledge acquisition, and much more. Artificial Intelligence and Soft Computing: Behavioral and Cognitive Modeling of the Human Brain is unique for its diverse content, clear presentation, and overall completeness. It provides a practical, detailed introduction that will prove valuable to computer science practitioners and students as well as to researchers migrating to the subject from other disciplines.
The third edition of this popular reference covers enabling technologies for building up 5G wireless networks. Due to extensive research and complexity of the incoming solutions for the next generation of wireless networks it is anticipated that the industry will select a subset of these results and leave some advanced technologies to be implemented later,. This new edition presents a carefully chosen combination of the candidate network architectures and the required tools for their analysis. Due to the complexity of the technology, the discussion on 5G will be extensive and it will be difficult to reach consensus on the new global standard. The discussion will have to include the vendors, operators, regulators as well as the research and academic community in the field. Having a comprehensive book will help many participants to join actively the discussion and make meaningful contribution to shaping the new standard.
Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan
Author : Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan Publisher : Cambridge University Press Page : 409 pages File Size : 40,7 Mb Release : 2009-02-09 Category : Mathematics ISBN : 9780521883894
This is an introduction to recursive functions intended for graduate students. It presupposes some mathematical maturity and a slight aquaintancewith some important topics, such as group theory and topology. Some acquaintance with logic is desirable but not essential. It introduces the main topics of recusion theory, such as hierarchy theory, RE sets, and undecidable theories, without going very deeply into any of them.
Low Carbon Economy and Health in the Context of Carbon Neutrality by Yuanjun Zhao,Chunjia Han,Zheng Liu Pdf
Global warming has led to increasing climate risks, and climate change is a global issue facing mankind. Therefore, most developed countries have set a clear goal of achieving carbon neutrality after reaching peak carbon emissions. In the context of global warming, "low-carbon economy" based on low energy consumption and low pollution has become a global popular research topic. At present, the international community has formed a consensus on green transformation and taken practical actions. At the same time, the achievement of the carbon neutrality goal has highlighted the importance of public health, and therefore, a series of new research directions are emerging, and how to develop a low-carbon economy and protect public health while achieving the carbon neutrality goal has become an important issue. In the post-epidemic era, economic recovery and public health issues need to be addressed, and a low-carbon economy and public health will face even greater challenges, with carbon neutrality goals placing this issue at the forefront. For this Research Topic, we would like submissions that provide research results on topics such as green development, green low carbon, resource conservation, low carbon economy, low carbon development, low carbon living, low carbon living, low carbon society, population health, health distribution, health awareness, health behavior, and public health. Quantitative, qualitative, and mixed methods approaches are welcome to explore the low carbon economy and public health from multiple perspectives. - The developmental history of the low-carbon economy, the level of development, and the evaluation of the level of development. - The many challenges faced by the low-carbon economy in the development process and how to deal with the challenges in the development process. - The development of a low carbon economy is influenced by a variety of factors, such as low carbon investment, policy norms, technology development, energy development, and digitalization levels, etc. We would like research works which study the factors that influence the development of a low carbon economy. - Analyze which industries will have an impact on the development of a low carbon economy, including but not limited to the energy industry, transportation industry, and construction industry. - To study the factors that affect the development of public health and how to improve public health. - To study the impact of residential environment, sports environment, community environment, etc. on public health. - To study the methods used in studies related to the development of a low-carbon economy and public health development. - To analyze the impact of the development of a low-carbon economy on other industries, such as international trade, the real estate industry, and tourism.
How can economists define social preferences and interactions? Culture, familial beliefs, religion, and other sources contain the origins of social preferences. Those preferences--the desire for social status, for instance, or the disinclination to receive financial support--often accompany predictable economic outcomes. Through the use of new economic data and tools, our contributors survey an array of social interactions and decisions that typify homo economicus. Their work brings order to the sometimes conflicting claims that countries, environments, beliefs, and other influences make on our economic decisions. Describes recent scholarship on social choice and introduces new evidence about social preferences Advances our understanding about quantifying social interactions and the effects of culture Summarizes research on theoretical and applied economic analyses of social preferences
Matching minors in bipartite graphs by Wiederrecht, Sebastian Pdf
In this thesis we adapt fundamental parts of the Graph Minors series of Robertson and Seymour for the study of matching minors and investigate a connection to the study of directed graphs. We develope matching theoretic to established results of graph minor theory: We characterise the existence of a cross over a conformal cycle by means of a topological property. Furthermore, we develope a theory for perfect matching width, a width parameter for graphs with perfect matchings introduced by Norin. here we show that the disjoint alternating paths problem can be solved in polynomial time on graphs of bounded width. Moreover, we show that every bipartite graph with high perfect matching width must contain a large grid as a matching minor. Finally, we prove an analogue of the we known Flat Wall theorem and provide a qualitative description of all bipartite graphs which exclude a fixed matching minor. In der vorliegenden Arbeit werden fundamentale Teile des Graphminorenprojekts von Robertson und Seymour für das Studium von Matching Minoren adaptiert und Verbindungen zur Strukturtheorie gerichteter Graphen aufgezeigt. Wir entwickeln matchingtheoretische Analogien zu etablierten Resultaten des Graphminorenprojekts: Wir charakterisieren die Existenz eines Kreuzes über einem konformen Kreis mittels topologischer Eigenschaften. Weiter entwickeln wir eine Theorie zu perfekter Matchingweite, einem Weiteparameter für Graphen mit perfekten Matchings, der von Norin eingeführt wurde. Hier zeigen wir, dass das Disjunkte Alternierende Pfade Problem auf bipartiten Graphen mit beschränkter Weite in Polynomialzeit lösbar ist. Weiter zeigen wir, dass jeder bipartite Graph mit hoher perfekter Matchingweite ein großes Gitter als Matchingminor enthalten muss. Schließlich zeigen wir ein Analogon des bekannten Flat Wall Theorem und geben eine qualitative Beschreibung aller bipartiter Graphen an, die einen festen Matching Minor ausschließen.