Random Graphs for Statistical Pattern Recognition

Front Cover
John Wiley & Sons, Feb 11, 2005 - Mathematics - 264 pages
A timely convergence of two widely used disciplines

Random Graphs for Statistical Pattern Recognition is the first book to address the topic of random graphs as it applies to statistical pattern recognition. Both topics are of vital interest to researchers in various mathematical and statistical fields and have never before been treated together in one book. The use of data random graphs in pattern recognition in clustering and classification is discussed, and the applications for both disciplines are enhanced with new tools for the statistical pattern recognition community. New and interesting applications for random graph users are also introduced.

This important addition to statistical literature features:

  • Information that previously has been available only through scattered journal articles
  • Practical tools and techniques for a wide range of real-world applications
  • New perspectives on the relationship between pattern recognition and computational geometry
  • Numerous experimental problems to encourage practical applications

With its comprehensive coverage of two timely fields, enhanced with many references and real-world examples, Random Graphs for Statistical Pattern Recognition is a valuable resource for industry professionals and students alike.

 

Contents

1 Preliminaries
1
2 Computational Geometry
35
3 Neighborhood Graphs
73
4 Class Cover Catch Digraphs
129
5 Cluster Catch Digraphs
185
6 Computational Methods
201
References
213
Author Index
228
Subject Index
233
Copyright

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About the author (2005)

DAVID J. MARCHETTE, PhD, is a researcher at the Naval Surface Warfare Center in Dahlgren, Virginia, where he investigates computational statistics and pattern recognition, primarily as it applies to image processing, automatic target recognition, and computer security. He is also an adjunct professor at George Mason University and a lecturer at Johns Hopkins University.

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