Title :
Algebraic analysis of statistical dependence
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 :
algebra; graph theory; statistical analysis; homological algebra analysis; statistical dependency graph model; Calculus; Educational institutions; Mathematical model; Polynomials; Tensile stress; Vectors; Cohomology; Homology; Pearson Residual; Statistical Independence;
Conference_Titel :
Granular Computing (GrC), 2013 IEEE International Conference on
Conference_Location :
Beijing
DOI :
10.1109/GrC.2013.6740426
