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Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (Advanced...
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by Dan A. Simovici and Chabane Djeraba
Sales Rank: 743103
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List Price: $129.00
$103.20
At Amazon
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Hardcover: 616 pages
Publisher: Springer; 1 edition August 15, 2008
Language: English
ISBN-10: 1848002009
ISBN-13: 978-1848002005
Product Dimensions:
9.3 x 6.3 x 1.6 inches
Shipping Weight: 2.3 pounds
Product Description
The maturing of the field of data mining has brought about an increased level of mathematical sophistication. Such disciplines like topology, combinatorics, partially ordered sets and their associated algebraic structures (lattices and Boolean algebras), and metric spaces are increasingly applied in data mining research. This book presents these mathematical foundations of data mining integrated with applications to provide the reader with a comprehensive reference.
Mathematics is presented in a thorough and rigorous manner offering a detailed explanation of each topic, with applications to data mining such as frequent item sets, clustering, decision trees also being discussed. More than 400 exercises are included and they form an integral part of the material. Some of the exercises are in reality supplemental material and their solutions are included. The reader is assumed to have a knowledge of elementary analysis.
Features and topics:
• Study of functions and relations
• Applications are provided throughout
• Presents graphs and hypergraphs
• Covers partially ordered sets, lattices and Boolean algebras
• Finite partially ordered sets
• Focuses on metric spaces
• Includes combinatorics
• Discusses the theory of the Vapnik-Chervonenkis dimension of collections of sets
This wide-ranging, thoroughly detailed volume is self-contained and intended for researchers and graduate students, and will prove an invaluable reference tool.
Customer Reviews & Comments
This is a great textbook, and an excellent reference. Mathematical foundations of Data Mining are introduced in great detail. It is worth every penny. It may be the most serious book about data mining ever published.
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Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (Advanced...
List Price: $129.00
Available from Amazon
Price: $103.20
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