Mathematical Tools for Data Mining

Set Theory, Partial Orders, Combinatorics

Authors:

ISBN: 978-1-84800-200-5 (Print) 978-1-84800-201-2 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages I-XII

  2. Set Theory

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-55

      Sets, Relations, and Functions

    3. No Access

      Book Chapter

      Pages 57-77

      Algebras

    4. No Access

      Book Chapter

      Pages 79-125

      Graphs and Hypergraphs

  3. Partial Orders

    1. Front Matter

      Pages 127-127

    2. No Access

      Book Chapter

      Pages 129-172

      Partially Ordered Sets

    3. No Access

      Book Chapter

      Pages 173-224

      Lattices and Boolean Algebras

    4. No Access

      Book Chapter

      Pages 225-272

      Topologies and Measures

    5. No Access

      Book Chapter

      Pages 273-293

      Frequent Item Sets and Association Rules

    6. No Access

      Book Chapter

      Pages 295-332

      Applications to Databases and Data Mining

    7. No Access

      Book Chapter

      Pages 333-348

      Rough Sets

  4. Metric Spaces

    1. Front Matter

      Pages 349-349

    2. No Access

      Book Chapter

      Pages 351-421

      Dissimilarities, Metrics, and Ultrametrics

    3. No Access

      Book Chapter

      Pages 423-458

      Topologies and Measures on Metric Spaces

    4. No Access

      Book Chapter

      Pages 459-493

      Dimensions of Metric Spaces

    5. No Access

      Book Chapter

      Pages 495-525

      Clustering

  5. Combinatorics

    1. Front Matter

      Pages 527-527

    2. No Access

      Book Chapter

      Pages 529-549

      Combinatorics

    3. No Access

      Book Chapter

      Pages 551-567

      The Vapnik-Chervonenkis Dimension

  6. Back Matter

    Pages 597-616