Mathematical Tools for Data Mining
Set Theory, Partial Orders, Combinatorics
Seiten
2008
|
2008 ed.
Springer London Ltd (Verlag)
978-1-84800-200-5 (ISBN)
Springer London Ltd (Verlag)
978-1-84800-200-5 (ISBN)
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Offering the reader a reference to the mathematical tools required for data mining, this book integrates the mathematics of data mining with its applications. It provides the necessary mathematical background for researchers and graduate students.
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.
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.
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.
| Reihe/Serie | Advanced Information and Knowledge Processing |
|---|---|
| Zusatzinfo | 81 black & white illustrations, 5 black & white tables, biography |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 160 x 240 mm |
| Gewicht | 1056 g |
| Themenwelt | Informatik ► Datenbanken ► Data Warehouse / Data Mining |
| Mathematik / Informatik ► Informatik ► Theorie / Studium | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Schlagworte | Algebra • Operation |
| ISBN-10 | 1-84800-200-9 / 1848002009 |
| ISBN-13 | 978-1-84800-200-5 / 9781848002005 |
| Zustand | Neuware |
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