Buch, Englisch, 616 Seiten, Format (B × H): 160 mm x 240 mm, Gewicht: 2330 g
Set Theory, Partial Orders, Combinatorics
Buch, Englisch, 616 Seiten, Format (B × H): 160 mm x 240 mm, Gewicht: 2330 g
Reihe: Advanced Information and Knowledge Processing
ISBN: 978-1-84800-200-5
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.
