Mathematical Tools for Data Mining

Part I. Set Theory

1. Sets, Relations, and Functions
Dan A. Simovici, Chabane Djeraba

2. Algebras
Dan A. Simovici, Chabane Djeraba

3. Graphs and Hypergraphs
Dan A. Simovici, Chabane Djeraba

Part II. Partial Orders

4. Partially Ordered Sets
Dan A. Simovici, Chabane Djeraba

5. Lattices and Boolean Algebras
Dan A. Simovici, Chabane Djeraba

6. Topologies and Measures
Dan A. Simovici, Chabane Djeraba

7. Frequent Item Sets and Association Rules
Dan A. Simovici, Chabane Djeraba

8. Applications to Databases and Data Mining
Dan A. Simovici, Chabane Djeraba

9. Rough Sets
Dan A. Simovici, Chabane Djeraba

Part III. Metric Spaces

10. Dissimilarities, Metrics, and Ultrametrics
Dan A. Simovici, Chabane Djeraba

11. Topologies and Measures on Metric Spaces
Dan A. Simovici, Chabane Djeraba

12. Dimensions of Metric Spaces
Dan A. Simovici, Chabane Djeraba

13. Clustering
Dan A. Simovici, Chabane Djeraba

Part IV. Combinatorics

14. Combinatorics
Dan A. Simovici, Chabane Djeraba

15. The Vapnik-Chervonenkis Dimension
Dan A. Simovici, Chabane Djeraba

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Avainsanat: COMPUTERS / Computer Science COM014000