Mathematical Tools for Data Mining
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Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics(Advanced Information and Knowledge Processing)

Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics(Advanced Information and Knowledge Processing)


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About the Book

This book integrates the mathematics of data mining with its applications, offering the reader a reference to the mathematical tools required for data mining. Dedicated to the study of set-theoretical foundations of data mining, this book is focused on set theory and several closely related areas: partially ordered sets and lattice theory, metric spaces and combinatorics. The book is structured into 4 parts and presents a comprehensive discussion of the subject. Features and topics include: - 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. Intended as a reference for the working data miner and researchers, a good knowledge of calculus is required to make the best use of this book, which will prove a useful reference.

Table of Contents:
Set Theory.- Sets, Relations, and Functions.- Algebras.- Graphs and Hypergraphs.- Partial Orders.- Partially Ordered Sets.- Lattices and Boolean Algebras.- Topologies and Measures.- Frequent Item Sets and Association Rules.- Applications to Databases and Data Mining.- Rough Sets.- Metric Spaces.- Dissimilarities, Metrics, and Ultrametrics.- Topologies and Measures on Metric Spaces.- Dimensions of Metric Spaces.- Clustering.- Combinatorics.- Combinatorics.- The Vapnik-Chervonenkis Dimension.

Review :
From the reviews: "The book is organized into four parts, with a total of 15 chapters. Each chapter ... offers numerous exercises and references for further reading. ... Overall, Simovici and Djeraba's presentation of both the theoretical grounds and the practical aspects of the various data mining methodologies is good. ... The book is intended for readers who have a data mining background ... . It will help this audience to improve their knowledge of how different data mining strategies operate from a mathematical standpoint." (Aris Gkoulalas-Divanis, ACM Computing Reviews, February, 2009)


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Product Details
  • ISBN-13: 9781848002005
  • Publisher: Springer London Ltd
  • Publisher Imprint: Springer London Ltd
  • Height: 240 mm
  • Returnable: N
  • Spine Width: 34 mm
  • Weight: 1056 gr
  • ISBN-10: 1848002009
  • Publisher Date: 15 Aug 2008
  • Binding: Hardback
  • Language: English
  • Series Title: Advanced Information and Knowledge Processing
  • Sub Title: Set Theory, Partial Orders, Combinatorics
  • Width: 160 mm


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Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics(Advanced Information and Knowledge Processing)
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