Formal Analysis of Statistical Dependence Based Homological Algebra

This paper proposes homological analysis of statistical dependency graph. If a dependency graph model satisfy the condition of a chain complex, homological algebra can be applied. Especially, the degree of freedom can be viewed as a dual space of an original complex.

Bibliographic Details

Published in:	2014 IEEE/WIC/ACM International Joint Conferences on Web Intelligence (WI) and Intelligent Agent Technologies (IAT) Vol. 2; pp. 379 - 385
Main Authors:	Tsumoto, Shusaku, Hirano, Shoji
Format:	Conference Proceeding
Language:	English Japanese
Published:	IEEE 01.08.2014
Subjects:	Calculus Cohomology Homology Mathematical model Pearson Residua Polynomials Statistical Independence Tensile stress Vectors
Online Access:	Get full text
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