PARTITIONS: OPTIMALITY AND CLUSTERING - VOLUME I: SINGLE-PARAMETER (Series on Applied Mathematics, 19) - Hardcover

Frank K. Hwang; Uriel G Rothblum

Hardcover

ISBN 10: 981270812X ISBN 13: 9789812708120

Publisher: World Scientific Pub Co Inc, 2009

Synopsis

Hwang (National Chiao-Tung U., Taiwan) and Rothblum (Technion, Israel) have collected all theoretical material on the optimal partitioning of data, developed a framework to unify and organize the results, and include some new results as well. In this first of two volumes, they focus on problems where each element in the set to be partitioned is represented by a single parameter, that is, a one-dimensional point. They develop basic theory and methods to solve the optimal partition problem as a foundation for solving the multi-parameter partition problem in the second volume, which also deals with points in high-dimensional space. An earlier version of the book has been used for a one-year graduate course, and some of the new results are from students solving what were then open problems. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

About this title

Review

"This high-level book contains a lot of theoretical developments and new statements on the topic of optimal clustering. It may best serve upper-level graduate students or engineers." -- Mathematical Reviews

Edition details

• Publisher: World Scientific Pub Co Inc
• Publication date: 2009
• Language: English
• ISBN 10: 981270812X
• ISBN 13: 9789812708120
• Binding: Hardcover
• Number of pages: 350