Clustering

Clustering: A Data Recovery Approach, Second Edition

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Features

  • Provides detailed coverage of selected clustering techniques, notably K-means, divisive clustering, network clustering, spectral clustering, additive clustering, and consensus clustering
  • Emphasizes the application of the methods through detailed case studies
  • Offers MATLAB® code for the examples on the book’s website
  • Illustrates methods by computation on specially selected small real-world datasets
  • Gives an extensive advice on computational interpretation of clusters, including use of hierarchical ontologies

Summary

Often considered more of an art than a science, books on clustering have been dominated by learning through example with techniques chosen almost through trial and error. Even the two most popular, and most related, clustering methods—K-Means for partitioning and Ward's method for hierarchical clustering—have lacked the theoretical underpinning required to establish a firm relationship between the two methods and relevant interpretation aids. Other approaches, such as spectral clustering or consensus clustering, are considered absolutely unrelated to each other or to the two above mentioned methods.

Clustering: A Data Recovery Approach, Second Edition presents a unified modeling approach for the most popular clustering methods: the K-Means and hierarchical techniques, especially for divisive clustering. It significantly expands coverage of the mathematics of data recovery, and includes a new chapter covering more recent popular network clustering approaches—spectral, modularity and uniform, additive, and consensus—treated within the same data recovery approach. Another added chapter covers cluster validation and interpretation, including recent developments for ontology-driven interpretation of clusters. Altogether, the insertions added a hundred pages to the book, even in spite of the fact that fragments unrelated to the main topics were removed.

Illustrated using a set of small real-world datasets and more than a hundred examples, the book is oriented towards students, practitioners, and theoreticians of cluster analysis. Covering topics that are beyond the scope of most texts, the author’s explanations of data recovery methods, theory-based advice, pre- and post-processing issues and his clear, practical instructions for real-world data mining make this book ideally suited for teaching, self-study, and professional reference.

Table of Contents

What Is Clustering
Key Concepts
Case Study Problems
Bird’s-Eye View

What Is Data
Key Concepts
Feature Characteristics
Bivariate Analysis
Feature Space and Data Scatter
Pre-Processing and Standardizing Mixed Data
Similarity Data

K-Means Clustering and Related Approaches
Key Concepts
Conventional K-Means
Choice of K and Initialization of K-Means
Intelligent K-Means: Iterated Anomalous Pattern
Minkowski Metric K-Means and Feature Weighting
Extensions of K-Means Clustering
Overall Assessment

Least-Squares Hierarchical Clustering
Key Concepts
Hierarchical Cluster Structures
Agglomeration: Ward Algorithm
Least-Squares Divisive Clustering
Conceptual Clustering
Extensions of Ward Clustering
Overall Assessment

Similarity Clustering: Uniform, Modularity, Additive, Spectral, Consensus and Single Linkage
Key Concepts
Summary Similarity Clustering
Normalized Cut and Spectral Clustering
Additive Clustering
Consensus Clustering
Single Linkage, Minimum Spanning Tree and Connected Components
Overall Assessment

Validation and Interpretation
Key Concepts
General: Internal and External Validity
Testing Internal Validity
Interpretation Aids in the Data Recovery Perspective
Conceptual Description of Clusters
Mapping Clusters to Knowledge
Overall Assessment

Least-Squares Data Recovery Clustering Models
Key Concepts
Statistics Modelling as Data Recovery
K-Means as a Data Recovery Method
Data Recovery Models for Hierarchical Clustering
Data Recovery Models for Similarity Clustering
Consensus and Ensemble Clustering
Overall Assessment

References
Index

Author Bio(s)

Boris Mirkin is a professor of computer science at the University of London, UK.

Editorial Reviews

Praise for the First Edition
The particular decomposition studied in this book is the decomposition of the total sum of squares matrix into, between, and within cluster components, and the book develops this decomposition, and its associated diagnostics, further than I have seen them developed for cluster analysis before. Overall, the book presents an unusual … approach to cluster analysis, from the perspective of someone who is clearly an enthusiast for the insights these tools can bring to understanding data.
—D.J. Hand, Short Book Reviews of the ISI

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