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.

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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
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Summary: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.
DOI:10.1109/WI-IAT.2014.122