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Science/Engineering Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (repost)

Posted on 2010-03-16




Name:Science/Engineering Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (repost)
ASIN/ISBN:1848002009
Language:English
File size:5.3 Mb
Publish Date: 2008
ISBN: 1848002009
Pages: 628 pages
File Type: PDF
File Size: 5,3 MB
Other Info: Springer
   Science/Engineering Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (repost)

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Dan A. Simovici, Chabane Djeraba, "Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics"

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.

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