Combinatorial Data Analysis
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Branch And Bound Applications In Combinatorial Data Analysis
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Author : Michael J. Brusco
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-30
Branch And Bound Applications In Combinatorial Data Analysis written by Michael J. Brusco 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 2005-11-30 with Mathematics categories.
This book provides clear explanatory text, illustrative mathematics and algorithms, demonstrations of the iterative process, pseudocode, and well-developed examples for applications of the branch-and-bound paradigm to important problems in combinatorial data analysis. Supplementary material, such as computer programs, are provided on the world wide web. Dr. Brusco is an editorial board member for the Journal of Classification, and a member of the Board of Directors for the Classification Society of North America.
Foundations And Methods In Combinatorial And Statistical Data Analysis And Clustering
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Author : Israël César Lerman
language : en
Publisher: Springer
Release Date : 2016-03-24
Foundations And Methods In Combinatorial And Statistical Data Analysis And Clustering written by Israël César Lerman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-24 with Computers categories.
This book offers an original and broad exploration of the fundamental methods in Clustering and Combinatorial Data Analysis, presenting new formulations and ideas within this very active field. With extensive introductions, formal and mathematical developments and real case studies, this book provides readers with a deeper understanding of the mutual relationships between these methods, which are clearly expressed with respect to three facets: logical, combinatorial and statistical. Using relational mathematical representation, all types of data structures can be handled in precise and unified ways which the author highlights in three stages: Clustering a set of descriptive attributes Clustering a set of objects or a set of object categories Establishing correspondence between these two dual clusterings Tools for interpreting the reasons of a given cluster or clustering are also included. Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering will be a valuable resource for students and researchers who are interested in the areas of Data Analysis, Clustering, Data Mining and Knowledge Discovery.
Combinatorial Data Analysis
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Author : Lawrence Hubert
language : en
Publisher: SIAM
Release Date : 2001-01-01
Combinatorial Data Analysis written by Lawrence Hubert and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Science categories.
Combinatorial data analysis refers to methods for the study of data sets where the arrangement of objects is central.
Combinatorial Inference In Geometric Data Analysis
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Author : Brigitte Le Roux
language : en
Publisher: CRC Press
Release Date : 2019-03-20
Combinatorial Inference In Geometric Data Analysis written by Brigitte Le Roux and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Mathematics categories.
Geometric Data Analysis designates the approach of Multivariate Statistics that conceptualizes the set of observations as a Euclidean cloud of points. Combinatorial Inference in Geometric Data Analysis gives an overview of multidimensional statistical inference methods applicable to clouds of points that make no assumption on the process of generating data or distributions, and that are not based on random modelling but on permutation procedures recasting in a combinatorial framework. It focuses particularly on the comparison of a group of observations to a reference population (combinatorial test) or to a reference value of a location parameter (geometric test), and on problems of homogeneity, that is the comparison of several groups for two basic designs. These methods involve the use of combinatorial procedures to build a reference set in which we place the data. The chosen test statistics lead to original extensions, such as the geometric interpretation of the observed level, and the construction of a compatibility region. Features: Defines precisely the object under study in the context of multidimensional procedures, that is clouds of points Presents combinatorial tests and related computations with R and Coheris SPAD software Includes four original case studies to illustrate application of the tests Includes necessary mathematical background to ensure it is self–contained This book is suitable for researchers and students of multivariate statistics, as well as applied researchers of various scientific disciplines. It could be used for a specialized course taught at either master or PhD level.
Clustering And Classification
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Author : Phipps Arabie
language : en
Publisher: World Scientific
Release Date : 1996
Clustering And Classification written by Phipps Arabie and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
At a moderately advanced level, this book seeks to cover the areas of clustering and related methods of data analysis where major advances are being made. Topics include: hierarchical clustering, variable selection and weighting, additive trees and other network models, relevance of neural network models to clustering, the role of computational complexity in cluster analysis, latent class approaches to cluster analysis, theory and method with applications of a hierarchical classes model in psychology and psychopathology, combinatorial data analysis, clusterwise aggregation of relations, review of the Japanese-language results on clustering, review of the Russian-language results on clustering and multidimensional scaling, practical advances, and significance tests.
Assignment Methods In Combinational Data Analysis
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Author : Lawrence Hubert
language : en
Publisher: CRC Press
Release Date : 1986-09-29
Assignment Methods In Combinational Data Analysis written by Lawrence Hubert and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-29 with Mathematics categories.
For the first time in one text, this handy pedagogical reference presents comprehensive inference strategies for organizing disparate nonparametric statistics topics under one scheme, illustrating ways of analyzing data sets based on generic notions of proximity (of "closeness") between objects. Assignment Methods in Combinatorial Data Analysis specifically reviews both linear and quadratic assignment models ... covers extensions to multiple object sets and higher-order assignment indices ... considers methods of applying linear assignment models in common data analysis contexts ... discusses a second motion of assignment (or "matching") based upon pairs of objects ... explores confirmatory methods of augmenting multidimensional sealing, cluster analysis, and related techniques ... labels sections in order of priority for continuity and convenience ... and includes extensive bibliographies of related literature. Assignment Methods in Combinatorial Data Analysis gives authoritative coverage of statistical testing, and measures of association in a single source. It is required reading and an invaluable reference for researchers and graduate students in the behavioral and social sciences using quantitative methods of data representation. Book jacket.
Analytic Combinatorics
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Author : Philippe Flajolet
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-15
Analytic Combinatorics written by Philippe Flajolet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-15 with Mathematics categories.
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Data Expert Knowledge And Decisions
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Author : Wolfgang A. Gaul
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Data Expert Knowledge And Decisions written by Wolfgang A. Gaul 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 Business & Economics categories.
Cross-disciplinary research on how computer-assisted decision making can be supported by sophisticated data analysis techniques and recent developments in knowledge-based systems research are described in this volume, with emphasis on marketing applications. Aspects dealt with include market-share analysis (spreadsheet based), media planning, stochastic market modelling, marketing data analysis and new product introduction management (all knowledge-based, partly using PROLOG). These contributions emphasize links between decision support, expert knowledge research and marketing. Other application areas are debt and credit management and personnel disposition (KEE based), portfolio management (PROLOG based) and vehicle scheduling. Concrete interconnections between data analysis and marketing can be seen in the contributions on classification and unfolding of market data, market segmentation by forced classification, conjoint analysis applications, ideal point product mapping, MDS in telecommunications pricing and multi-mode marketing data evaluations.
Basic Phylogenetic Combinatorics
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Author : Andreas Dress
language : en
Publisher: Cambridge University Press
Release Date : 2012
Basic Phylogenetic Combinatorics written by Andreas Dress and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The first book to systematically introduce the emerging area of phylogenetic combinatorics.
Seriation In Combinatorial And Statistical Data Analysis
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Author : Israël César Lerman
language : en
Publisher: Springer Nature
Release Date : 2022-03-04
Seriation In Combinatorial And Statistical Data Analysis written by Israël César Lerman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-04 with Computers categories.
This monograph offers an original broad and very diverse exploration of the seriation domain in data analysis, together with building a specific relation to clustering. Relative to a data table crossing a set of objects and a set of descriptive attributes, the search for orders which correspond respectively to these two sets is formalized mathematically and statistically. State-of-the-art methods are created and compared with classical methods and a thorough understanding of the mutual relationships between these methods is clearly expressed. The authors distinguish two families of methods: Geometric representation methods Algorithmic and Combinatorial methods Original and accurate methods are provided in the framework for both families. Their basis and comparison is made on both theoretical and experimental levels. The experimental analysis is very varied and very comprehensive. Seriation in Combinatorial and Statistical Data Analysis has a unique character in the literature falling within the fields of Data Analysis, Data Mining and Knowledge Discovery. It will be a valuable resource for students and researchers in the latter fields.