Mathematical Tools for Data Mining : Set Theory, Partial Orders, Combinatorics

Simovici, Dan A.; Djeraba, Chabane

ISBN 10: 1447164067 / ISBN 13: 9781447164067

Edité par Springer, 2014

A propos de cet article

Unread book in perfect condition. N° de réf. du vendeur 21282128

Détails bibliographiques

Titre : Mathematical Tools for Data Mining : Set ...

Éditeur : Springer

Date d'édition : 2014

Reliure : Couverture rigide

Etat : As New

Edition : 2ème Édition

A propos de ce titre

Synopsis :

Data mining essentially relies on several mathematical disciplines, many of which are presented in this second edition of this book. Topics include partially ordered sets, combinatorics, general topology, metric spaces, linear spaces, graph theory. To motivate the reader a significant number of applications of these mathematical tools are included ranging from association rules, clustering algorithms, classification, data constraints, logical data analysis, etc. The book is intended as a reference for researchers and graduate students. The current edition is a significant expansion of the first edition. We strived to make the book self-contained and only a general knowledge of mathematics is required. More than 700 exercises are included and they form an integral part of the material. Many exercises are in reality supplemental material and their solutions are included.

Présentation de l'éditeur:

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.