Data Analysis, Classification, and Related Methods

by Kiers, Henk A. L.; Rasson, Jean-Paul; Groenen, Patrick J. F.; Schader, Martin

• ISBN13: 9783540675211
• ISBN10: 3540675213
• Format: Paperback
• Copyright: 2000-06-01
• Publisher: Springer Verlag

Summary

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkähler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.

Table of Contents

Part I. Cluster Analysis
Cluster Analysis and Mixture Models
Classifler Probabilities	3	(14)
J. A. Hartigan
Cluster Analysis Based on Data Depth	17	(6)
Richard Hoberg
An Autonomous Clustering Technique	23	(6)
Yoshiharu Sato
Unsupervised Non-hierarchical Entropy-based Clustering	29	(6)
M. Jardino
Improving the Additive Tree Representation of a Dissimilarity Matrix Using Reticulations	35	(6)
Vladimir Makarenkov
Pierre Legendre
Double Versus Optimal Grade Clusterings	41	(6)
Alicja Ciok
The Effects of Initial Values and the Covariance Structure on the Recovery of some Clustering Methods	47	(6)
Istvan Hajnal
Geert Loosveldt
What Clusters Are Generated by Normal Mixtures?	53	(6)
Christian Hennig
A Bootstrap Procedure for Mixture Models	59	(4)
Suzanne Winsberg
Geert deSoete
Fuzzy Clustering
A New Criterion of Classes Validity	63	(6)
Arnaud Devillez
Patrice Billaudel
Gerard Villermain Lecolier
Application of Fuzzy Mathematical Morphology for Unsupervised Color Pixels Classification	69	(8)
A. Gillet
C. Botte-Lecocq
L. Macaire
J.-G. Postaire
A Hyperbolic Fuzzy k-Means Clustering and Algorithm for Neural Networks	77	(6)
Norio Watanabe
Tadashi Imaizumi
Toshiko Kikuchi
Special Purpose Classification Procedures and Applications
A Toolkit for Development of the Domain-Oriented Dictionaries for Structuring Document Flows	83	(6)
Pavel P. Makagonov
Mikhail A. Alexandrov
Konstantin Sboychakov
Classification of Single Malt Whiskies	89	(6)
David Wishart
Robust Approach in Hierarchical Clustering: Application to the Sectorisation of an Oil Field	95	(6)
Jean-Paul Valois
A Minimax Solution for Sequential Classification Problems	101	(6)
Hans J. Vos
Verification and Comparison of Clusterings
Comparison of Ultrametrics Obtained With Real Data, Using the PL and VALAW Coefficients	107	(6)
Isabel Pinto Doria
Georges Le Calve
Helena Bacelar-Nicolau
Numerical Comparisons of two Spectral Decompositions for Vertex Clustering	113	(6)
P. Kuntz
F. Henaux
Measures to Evaluate Rankings of Classification Algorithms	119	(6)
Carlos Soares
Pavel Brazdil
Joaquim Costa
A General Approach to Test the Pertinence of a Consensus Classification	125	(6)
Guy Cucumel, Francois-Joseph Lapointe
Dissimilarity Measures
On a Class of Aggregation-invariant Dissimilarities Obeying the Weak Huygens' Principle	131	(6)
F. Bavaud
A Short Optimal Way for Constructing Quasi-ultrametrics From Some Particular Dissimilarities	137	(6)
B. Fichet
Missing Data in Cluster Analysis
Estimating Missing Values in a Tree Distance	143	(6)
A. Guenoche
S. Grandcolas
Estimating Trees From Incomplete Distance Matrices: A Comparison of Two Methods	149	(6)
Claudine Levasseur
Pierre-Alexandre Landry
Francois-Joseph Lapointe
Zero Replacement in Compositional Data Sets	155	(6)
J. A. Martin-Fernandez
C. Barcelo-Vidal
V. Pawlowsky-Glahn
EM Algorithm for Partially Known Labels	161	(8)
C. Ambroise
G. Govaert
Part II. Discrimination, Regression Trees, and Data Mining
Discriminant Analysis
Detection of Company Failure and Global Risk Forecasting	169	(6)
Mireille Bardos
Discriminant Analysis by Hierarchical Coupling in EDDA Context	175	(6)
Isabel Brito, Gilles Celeux
Discrete Discriminant Analysis: The Performance of Combining Models by a Hierarchical Coupling Approach	181	(6)
Ana Sousa Ferreira
Gilles Celeux
Helena Bacelar-Nicolau
Discrimination Based on the Atypicity Index versus Density Function Ratio	187	(6)
H. Chamlal
S. Slaoui Chah
Decision and Regression Trees
A Third Stage in Regression Tree Growing: Searching for Statistical Reliability	193	(6)
Carmela Cappelli
Francesco Mola
Roberta Siciliano
A New Sampling Strategy for Building Decision Trees from Large Databases	199	(6)
J.H. Chauchat
R. Rakotomalala
Generalized Additive Multi-Model for Classification and Prediction	205	(6)
Claudio Conversano
Francesco Mola
Roberta Siciliano
Radial Basis Function Networks and Decision Trees in the Determination of a Classifier	211	(6)
Roasella Miglio
Marilena Pillati
Clustered Multiple Regression	217	(6)
Luis Torgo
J. Pinto da Costa
Neural Networks and Data Mining
Artificial Neural Networks, Censored Survival Data, Statistical Models	223	(6)
Antonio Ciampi
Yves Lechevallier
Visualisation and Classification with Artificial Life	229	(6)
Alfred Ultsch
Pattern Recognition and Geometrical Statistics
Exploring the Periphery of Data Scatters: Are There Outliers?	235	(6)
Giovanni C. Porzio
Giancarlo Ragozini
Discriminant Analysis Tools for Non Convex Pattern Recognition	241	(6)
Marcel Remon
A Markovian Approach to Unsupervised Multidimensional Pattern Classification	247	(8)
A. Sbihi
A. Moussa
B. Benmiloud
J.-G. Postaire
Part III. Multivariate and Multidimensional Data Analysis
Multivariate Data Analysis
An Algorithm with Projection Pursuit for Sliced Inverse Regression Model	255	(6)
Masahiro Mizuta
Hiroyuki Minami
Testing Constraints and Misspecification in VAR-ARCH Models	261	(6)
Wolfgang Polasek
Shuangzhe Liu
Goodness of Fit Measure based on Sample Isotone Regression of Mokken Double Monotonicity Model	267	(6)
Teresa Rivas Moya
Multiway Data Analysis
Fuzzy Time Arrays and Dissimilarity Measures for Fuzzy Time Trajectories	273	(6)
Renato Coppi
Pierpaolo D'Urso
Three-Way Partial Correlation Measures	279	(6)
Donatella Vicari
Analysis of Network and Relationship Data and Multidimensional Scaling
Statistical Models for Social Networks	285	(12)
Stanley Wasserman
Philippa Pattison
Application of Simulated Annealing in some Multidimensional Scaling Problems	297	(6)
Javier Trejos
William Castillo
Jorge Gonzalez
Mario Villalobos
Data Analysis Based on Minimal Closed Subsets	303	(6)
S. Bonnevay
C. Largeron-Leteno
Robust Multivariate Methods
A Robust Method for Multivariate Regression	309	(6)
Stefan Van Aelst
Katrien Van Driessen
Peter J. Rousseeuw
Robust Methods for Complex Data Structures	315	(6)
Ursula Gather
Claudia Becker
Sonja Kuhnt
Robust Methods for Canonical Correlation Analysis	321	(8)
Catherine Dehon
Peter Filzmoser
Christophe Croux
Part IV. Data Science
Data Science and Data Collection
From Data Analysis to Data Science	329	(6)
Noboru Ohsumi
Evaluation of Data Quality and Data Analysis	335	(6)
Chikio Hayashi
Collapsibility end Collapsing Multidimensional Contingency Tables--Perspectives and Implications	341	(6)
Stefano De Cantis
Antonino M, Oliveri
Sampling and Internet Surveys
Data Collected on the Web	347	(6)
Vasja Vehovar
Katja Lozar Manfreda
Zenel Batagelj
Some Experimental Surveys on the WWW Environments in Japan	353	(6)
Osamu Yoshimura
Noboru Ohsumi
Bootstrap Goodness-of-fit Tests for Complex Survey Samples	359	(10)
Andrea Scagni
Part V. Symbolic Data Analysis
Classification and Analysis of Symbolic Data
Regression Analysis for Interval-Valued Data	369	(6)
L. Billard
E. Diday
Symbolic Approach to Classify Large Data Sets	375	(6)
Francisco de A.T. de Carvalho
Cezar A. de F. Anselmo
Renata M.C.R. de Souza
Factorial Methods with Cohesion Constraints on Symbolic Objects	381	(6)
N.C. Lauro
R. Verde
F. Palumbo
A Dynamical Clustering Algorithm for Multi-nominal Data	387	(8)
Rosanna Verde
Francisco de A. T. de Carvalho
Yves Lechevallier
Software
DB2SO: A Software for Building Symbolic Objects from Databases	395	(6)
Georges Hebrail
Yves Lechevallier
Symbolic Data Analysis and the SODAS Software in Official Statistics	401	(8)
Raymond Bisdorff
Edwin Diday
Strata Decision Tree SDA Software	409	(8)
M. Carmen Bravo
Marking and Generalization by Symbolic Objects in the Symbolic Official Data Analysis Software	417	(6)
Mireille Gettler Summa
List of Reviewers	423	(2)
Index	425