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

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

Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics, Second Edition by Dan A. Simovici
English | PDF(True) | 834 Pages | 2014 | ISBN : 1447164067 | 8.6 MB

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.

Poset Codes: Partial Orders, Metrics and Coding Theory

Posted By: AvaxGenius
Poset Codes: Partial Orders, Metrics and Coding Theory

Poset Codes: Partial Orders, Metrics and Coding Theory by Marcelo Firer
English | EPUB | 2018 | 133 Pages | ISBN : 3319938207 | 6.5 MB

This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric – the most important metric used in the context of coding theory – and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric.