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Studies in Classification, Data Analysis, and Knowledge Organisation Managing Editors Editorial Board H.-H. Bock, Aachen Ph. Arabie, Newark W. Gaul, Karlsruhe D. Baier, Cottbus M. Vichi, Rome F. Critchley, Milton Keynes R. Decker, Bielefeld E. Diday, Paris M. Greenacre, Barcelona C. Lauro, Naples J. Meulman, Leiden P. Monari, Bologna S. Nishisato, Toronto N. Ohsumi, Tokyo o. Opitz, Augsburg G. Ritter, Pass au M. Schader, Mannheim C. Weihs, Dortmund Springer Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo Titles in the Series H.-H. Bock and P. Ihm (Eds.) M. Vichi and O. Opitz (Eds.) Classification, Data Analysis, Classification and Data Analysis. 1999 and Knowledge Organization. 1991 (out of print) W. Gaul and H. Locarek-Junge (Eds.) Classification in the Information Age. M. Schader (Ed.) 1999 Analyzing and Modeling Data and Knowledge. 1992 H.-H. Bock and E. Diday (Eds.) Analysis of Symbolic Data. 2000 O. Opitz, B. Lausen, and R. Klar (Eds.) Information and Classification. 1993 H.A.L. Kiers, J.-P. Rasson, (out of print) P.J.F. Groenen, and M. Schader (Eds.) Data Analysis, Classification, H.-H. Bock, W. Lenski, and Related Methods. 2000 and M. M. Richter (Eds.) Information Systems and Data W. Gaul, O. Opitz, and M. Schader Analysis. 1994 (out of print) (Eds.) Data Analysis. 2000 E. Diday, Y. Lechevallier, M. Schader, P. Bertrand, and B. Burtschy (Eds.) R. Decker and W. Gaul New Approaches in Classification and Classification and Information Data Analysis. 1994 (out of print) Processing at the Turn of the Millenium. 2000 W. Gaul and D. Pfeifer (Eds.) From Data to Knowledge. 1995 S. Borra, R. Rocci, M. Vichi, and M. Schader (Eds.) H.-H. Bock and W. Polasek (Eds.) Advances in Classification Data Analysis and Information and Data Analysis. 2001 Systems. 1996 W. Gaul and G. Ritter (Eds.) E. Diday, Y. Lechevallier, Classification, Automation, and O. Opitz (Eds.) and New Media. 2002 Ordinal and Symbolic Data Analysis. 1996 K. Jajuga, A. Sokolowski, and H.-H. Bock (Eds.) R. Klar and O. Opitz (Eds.) Classification, Clustering and Data Classification and Knowledge Analysis. 2002 Organization. 1997 M. Schwaiger, O. Opitz (Eds.) C. Hayashi, N. Ohsumi, K. Yajima, Exploratory Data Analysis Y. Tanaka, H.-H. Bock, and Y. Baba in Empirical Research. 2003 (Eds.) Data Science, Classification, M. Schader, W. Gaul, and M. Vichi and Related Methods. 1998 (Eds.) Between Data Science and 1. Balderjahn, R. Mathar, Applied Data Analysis. 2003 and M. Schader (Eds.) Classification, Data Analysis, H.-H. Bock, M. Chiodi, and A. Mineo and Data Highways. 1998 (Eds.) Advances in Multivariate Data Analysis. A. Rizzi, M. Vichi, and H.-H. Bock 2004 (Eds.) Advances in Data Science and Classification. 1998 David Banks · Leanna House · Frederick R. McMorris · Phipps Arabie · Wolfgang Gaul Editors Classification, Clustering, and Data Mining Applications Proceedings of the Meeting of the International Federation of Classification Societies (IFCS), Illinois Institute of Technology, Chicago, 15-18 July 2004 With 156 Figures and 86 Tables Springer Dr. David Banks Leanna House Institute of Statistics and Decision Sciences Duke University 27708 Durham, NC U.S.A. [email protected] [email protected] Dr. Frederick R. McMorris Illinois Institute of Technology Department of Mathematics 10 West 32nd Street 60616-3793 Chicago,IL U.S.A. [email protected] Dr. Phipps Arabie Faculty of Management Rutgers University 180 University Avenue 07102-1895 Newark, NJ U.S.A. [email protected] Prof. Dr. Wolfgang Gaul Institute of Decision Theory University of Karlsruhe Kaiserstr. 12 76128 Karlsruhe Germany [email protected] ISSN 1431-8814 ISBN 3-540-22014-3 Springer-Verlag Berlin Heidelberg New York Library of Congress Control Number: 2004106890 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broad casting, reproduction on microfIlm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin· Heidelberg 2004 Printed in Germany The use of general descriptive names, registered names~ trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Softcover design: Erich Kirchner, Heidelberg SPIN 11008729 88/3130-543210 -Printed on acid-free paper This book is dedicated to the memory of Professor Chikio Hayashi who served as president of the International Federation of Classification Societies from 1998 until 2000. His leadership, his scholarship, and his humanity are an example to us all. Preface This book presents some of the key research undertaken by the members of the International Federation of Classification Societies during the two years since our last symposium. If the past is a guide to the future, these papers contain the seeds of new ideas that will invigorate our field. The editors are grateful to the community of classification scientists. Even those whose work does not appear here have contributed through previous research, teaching, and mentoring. It is a great joy to participate in this kind global academy, which is only possible because its members work to cultivate courtesy along with creativity, and friendship together with scholarship. The editors particularly thank the referees who reviewed these papers: Simona Balbi Lynne Billard Hans Bock Paul De Boeck Jaap Brand Peter Bryant Doug Carroll Edwin Diday Adrian Dobra Vincenzo Esposito Anuska Ferligoj Ernest Fokoue John Gower Andre Hardy Stephen Hirtle Krzysztof Jajuga Bart Jan van Os Mel Janowitz Henk Kiers Mike Larsen Carlo Lauro Michael Lavine Ludovic Lebart Bruno Leclerc Herbie Lee Taerim Lee Scotland Leman Walter Liggett Masahiro Mizuta Clive Moncrieff Fionn Murtagh Noboru Ohsumi Jennifer Pittman Alfredo Rizzi Pascale Rousseau Ashish Sanil Bill Shannon Javier Trejos Mark Vangel Rosanna Verde Kert Viele Kiri Wagstaff Stan Wasserman Stan Young Durham, North Carolina David Banks Durham, North Carolina Leanna House New Brunswick, New Jersey Phipps Arabie Chicago, Illinois F. R. McMorris Karlsruhe, Germany Wolfgang Gaul March,2004 Contents Part I New Methods in Cluster Analysis Thinking Ultrametrically Fionn Murtagh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Clustering by Vertex Density in a Graph Alain Guenoche. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 15 Clustering by Ant Colony Optimization Javier Trejos, Alex Murillo, Eduardo Piza. . . . . . . . . . . . . . . . . . . . . . . . . .. 25 A Dynamic Cluster Algorithm Based on Lr Distances for Quantitative Data Francisco de A. T. de Carvalho, Yves Lechevallier, Renata M.C.R. de Souza .......................................................... 33 The Last Step of a New Divisive Monothetic Clustering Method: the Gluing-Back Criterion Jean-Yves Pirr;on, Jean-Paul Rasson ............................... 43 Standardizing Variables in K-means Clustering Douglas Steinley . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 53 A Self-Organizing Map for Dissimilarity Data Ai"cha El Golli, Brieuc Conan-Guez, Fabrice Rossi. . . . . . . . . . . . . . . . . .. 61 Another Version of the Block EM Algorithm Mohamed NadiJ, Gerard Govaert .................................. 69 Controlling the Level of Separation of Components in Monte Carlo Studies of Latent Class Models Jose G. Dias .................................................... 77

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This volume describes new methods with special emphasis on classification and cluster analysis. These methods are applied to problems in information retrieval, phylogeny, medical diagnosis, microarrays, and other active research areas.
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