Title :
Formal Analysis of Statistical Dependence Based Homological Algebra
Author :
Tsumoto, Shusaku ; Hirano, Shoji
Author_Institution :
Dept. of Med. Inf., Shimane Univ., Izumo, Japan
Abstract :
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.
Keywords :
formal specification; graph theory; process algebra; statistical analysis; chain complex; degree of freedom; dual space; formal analysis; homological algebra; homological analysis; statistical dependency graph model; Calculus; Mathematical model; Polynomials; Tensile stress; Vectors; Cohomology; Homology; Pearson Residua; Statistical Independence;
Conference_Titel :
Web Intelligence (WI) and Intelligent Agent Technologies (IAT), 2014 IEEE/WIC/ACM International Joint Conferences on
Conference_Location :
Warsaw
DOI :
10.1109/WI-IAT.2014.122
