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Branch-and-Bound Applications in Combinatorial Data Analysis Michael J. Brusco

Branch-and-Bound Applications in Combinatorial Data Analysis By Michael J. Brusco

Branch-and-Bound Applications in Combinatorial Data Analysis by Michael J. Brusco


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Summary

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.

Branch-and-Bound Applications in Combinatorial Data Analysis Summary

Branch-and-Bound Applications in Combinatorial Data Analysis by Michael J. Brusco

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.

Branch-and-Bound Applications in Combinatorial Data Analysis Reviews

From the reviews:

To say it unadorned at the outset, this excellent mongraph by Brusco and Stahl on applications of branch-and-bound algorithms in combinatorial data anlaysis fills a long neglected gap in the quantitative psychology literature, and will prove an indispensable companion to any researcher having serious interest in advanced techniques for seriation/scaling and nonhierarchical clustering. Psychometrika

This monograph is true to its purpose: developing and carefully explaining the application of branch-and-bound (B&B) algorithms for the solution of specific combinatorial optimization problems in statistics. ... One of the bright features of this book is the even handed way in which the B&B methods are presented. In each case, the authors clearly spell out not only the process but also its strengths and limitations. ... Brusco and Stahl do a nice job ... . (Jon R. Kettenring, SIAM Review, Vol. 48 (2), 2006)

This book both summarizes and illustrates the methods that are currently available for applying branch-and-bound methods to certain data analysis situations. ... The mathematical basis is clearly explained, pseudo-code for the algorithms is given where needed, very simple cases are used to demonstrate the methodology, and larger examples are also presented. ... Care is taken to discuss the limitations as well as the advantages of the branch-and-bound approach. (C.D. Kemp, Short Book Reviews, Vol. 26 (1), 2006)

This book ... is the first attempt to use this technique, branch and bound, to solve discrete optimization problems that arise in statistical data analysis. The authors are one of the pioneers in this area and authored a series of papers in relevant leading journals. This book is ... written in a more lucid language, and includes a good number of examples, illustrations and case studies. ... This book is going to be extremely useful to the researchers or practitioners of combinatorial data analysis. (Bimal Roy, Sankhya: The Indian Journal of Statistics, Vol. 68 (1), 2006)

It is the aim of this monograph to summarise and illustrate available methods for applying the branch-and-bound process to problems of combinatorial data analysis. ... The book is well suited to all students and researchers interested in the implementation of branch-and-bound procedures for the statistical analysis of data. (Christina Diakaki, Zentralblatt MATH, Vol. 1093 (19), 2006)

The aim of this book is to build a bridge between operations research (discrete optimization) and statistics. ... Overall, the book is well structured and easily readable and a good introduction to the field of Branch and Bound algorithms as a possible solution to selected problems in statistics. (Gero Szepannek, Statistical Papers, Vol. 48, 2007)

Michael Brusco and Stephanie Stahl suggest solving combinatorial data analysis problems by using the branch-and-bound technique to optimize the objective functions that measure goodness of grouping or sequencing. ... Brusco and Stahl's book is valuable for students and researchers interested in optimization or data analysis. ... They provide mathematical descriptions of objective functions and bounds, pseudocodes, step-by-step illustrations, software programs, and their results for several problems. (Julius Zilinskas, Interfaces, Vol. 37 (1), 2007)

Table of Contents

Cluster Analysis-Partitioning.- An Introduction to Branch-and-Bound Methods for Partitioning.- Minimum-Diameter Partitioning.- Minimum Within-Cluster Sums of Dissimilarities Partitioning.- Minimum Within-Cluster Sums of Squares Partitioning.- Multiobjective Partitioning.- Seriation.- to the Branch-and-Bound Paradigm for Seriation.- Seriation-Maximization of a Dominance Index.- Seriation-Maximization of Gradient Indices.- Seriation-Unidimensional Scaling.- Seriation-Multiobjective Seriation.- Variable Selection.- to Branch-and-Bound Methods for Variable Selection.- Variable Selection for Cluster Analysis.- Variable Selection for Regression Analysis.

Additional information

NLS9781441920393
9781441920393
1441920390
Branch-and-Bound Applications in Combinatorial Data Analysis by Michael J. Brusco
New
Paperback
Springer-Verlag New York Inc.
2010-12-01
222
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Branch-and-Bound Applications in Combinatorial Data Analysis