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

The maturing of the field of data mining has brought about an increased level of mathematical sophistication. Such disciplines like topology, combinatorics, partially ordered sets and their associated algebraic structures (lattices and Boolean algebras), and metric spaces are increasingly applied in...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Simovici, Dan A. (Συγγραφέας), Djeraba, Chabane (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: London : Springer London, 2008.
Σειρά:Advanced Information and Knowledge Processing
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Simovici, Dan A.  |e author. 
245 1 0 |a Mathematical Tools for Data Mining  |h [electronic resource] :  |b Set Theory, Partial Orders, Combinatorics /  |c by Dan A. Simovici, Chabane Djeraba. 
264 1 |a London :  |b Springer London,  |c 2008. 
300 |a XII, 615 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Advanced Information and Knowledge Processing 
505 0 |a 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. 
520 |a The maturing of the field of data mining has brought about an increased level of mathematical sophistication. Such disciplines like topology, combinatorics, partially ordered sets and their associated algebraic structures (lattices and Boolean algebras), and metric spaces are increasingly applied in data mining research. This book presents these mathematical foundations of data mining integrated with applications to provide the reader with a comprehensive reference. Mathematics is presented in a thorough and rigorous manner offering a detailed explanation of each topic, with applications to data mining such as frequent item sets, clustering, decision trees also being discussed. More than 400 exercises are included and they form an integral part of the material. Some of the exercises are in reality supplemental material and their solutions are included. The reader is assumed to have a knowledge of elementary analysis. Features and topics: • 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 This wide-ranging, thoroughly detailed volume is self-contained and intended for researchers and graduate students, and will prove an invaluable reference tool. 
650 0 |a Computer science. 
650 0 |a Computer science  |x Mathematics. 
650 0 |a Data mining. 
650 0 |a Computer mathematics. 
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650 2 4 |a Data Mining and Knowledge Discovery. 
650 2 4 |a Mathematics of Computing. 
650 2 4 |a Discrete Mathematics in Computer Science. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
700 1 |a Djeraba, Chabane.  |e author. 
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