Mining Determining Sets for Partially Defined Functions
ICDM '09 Proceedings of the 9th Industrial Conference on Advances in Data Mining. Applications and Theoretical Aspects
Multimedia metadata mapping: towards helping developers in their integration task
Proceedings of the 8th International Conference on Advances in Mobile Computing and Multimedia
Several remarks on the metric space of genetic codes
International Journal of Data Mining and Bioinformatics
Several remarks on mining frequent trajectories in graphs
IEA/AIE'12 Proceedings of the 25th international conference on Industrial Engineering and Other Applications of Applied Intelligent Systems: advanced research in applied artificial intelligence
Polarities, axiallities and marketability of items
DaWaK'12 Proceedings of the 14th international conference on Data Warehousing and Knowledge Discovery
Entropy Quad-Trees for High Complexity Regions Detection
International Journal of Software Science and Computational Intelligence
Semi-supervised learning on closed set lattices
Intelligent Data Analysis
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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.