The Structural Representation of Proximity Matrices with MATLAB

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SIAM, Mar 1, 2006 - Computers - 214 pages
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The Structural Representation of Proximity Matrices with MATLAB presents and demonstrates the use of functions within a MATLAB computational environment, affecting various structural representations for the proximity information that is assumed to be available on a set of objects. The representations included in the book have been developed primarily in the behavioral sciences and applied statistical literature, although interest in these topics now extends more widely to such fields as bioinformatics and chemometrics. This book is divided into three main sections, each based on the general class of representations being discussed. Part I develops linear and circular unidimensional and multidimensional scaling using the city-block metric as the major representational device. Part II discusses characterizations based on various graph-theoretic tree structures, specifically those referred to as ultrametrics and additive trees. Part III uses representations defined solely by order properties, particularly emphasizing what are called (strongly) anti-Robinson forms.
 

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Contents

SA19_ch1
3
SA19_ch2
19
SA19_ch3
31
SA19_ch4
47
SA19_ptII
65
SA19_ch5
67
SA19_ch6
81
SA19_ch7
93
SA19_ch8
99
SA19_ptIII
113
SA19_ch9
115
SA19_ch10
143
SA19_ch11
159
SA19_appa
167
SA19_bm
205
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About the author (2006)

Lawrence Hubert is Professor of Psychology and Statistics at the University of Illinois Urbana-Champaign.Phipps Arabie is Professor of Management and Psychology at Rutgers University.Jacqueline Meulman is Professor of Applied Data Theory in the Faculty of Social and Behavioral Sciences of Leiden University, The Netherlands.