David J. Marchette

Random Graphs for Statistical Pattern Recognition (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 264
• Erscheinungstermin: 26. Januar 2005
• Englisch
• ISBN-13: 9780471722083
• Artikelnr.: 38200389

Autorenporträt

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.

Inhaltsangabe

Preface.
Acknowledgments.
1. Preliminaries.
1.1 Graphs and Digraphs.
1.2 Statistical Pattern Recognition.
1.3 Statistical Issues.
1.4 Applications.
1.5 Further Reading.
2. Computational Geometry.
2.1 Introduction.
2.2 Voronoi Cells and Delaunay Triangularization.
2.3 Alpha Hulls.
2.4 Minimum Spanning Trees.
2.5 Further Reading.
3. Neighborhood Graphs.
3.1 Introduction.
3.2 Nearest-Neighbor Graphs.
3.3 k-Nearest Neighbor Graphs.
3.4 Relative Neighborhood Graphs.
3.5 Gabriel Graphs.
3.6 Application: Nearest Neighbor Prototypes.
3.7 Sphere of Influence Graphs.
3.8 Other Relatives.
3.9 Asymptotics.
3.10 Further Reading.
4. Class Cover Catch Digraphs.
4.1 Catch Digraphs.
4.2 Class Covers.
4.3 Dominating Sets.
4.4 Distributional Results for Cn,m-graphs.
4.5 Characterizations.
4.6 Scale Dimension.
4.7 (¿,ß) Graphs
4.8 CCCD Classification.
4.9 Homogeneous CCCDs.
4.10 Vector Quantization.
4.11 Random Walk Version.
4.12 Further Reading.
5. Cluster Catch Digraphs.
5.1 Basic Definitions.
5.2 Dominating Sets.
5.3 Connected Components.
5.4 Variable Metric Clustering.
6. Computational Methods.
6.1 Introduction.
6.2 Kd-Trees.
6.3 Class Cover Catch Digraphs.
6.4 Cluster Catch Digraphs.
6.5 Voroni Regions and Delaunay Triangularizations.
6.6 Further Reading.
References.
Author Index.
Subject Index.

Rezensionen

"...constructed...as a book on random graphs, this is quitea good one." (Journal of the American StatisticalAssociation, September 2006)

"...I recommend this book to those who...wish to explore theexciting place where graph theory and pattern recognition meet."(Statistics in Medical Research, October 2005)

"This well-written book presents practical tools, andinformation that was previously found scattered in variousjournals." (Computing Reviews.com, March 9, 2005)

"...an excellent resource book that would be a valuableaddition..." (Technometrics, February 2005)

"...clearly and accessible written, and nicely conveysthe power, breadth and applicability of some very elegantideas..." (Short Book Reviews, Vol.24, No.3, December2004)

"Buy this book if use graphs in cluster and classificationanalysis." (Journal of Classification, Vol.21, No.2,2004)