Title :
Homological 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. The calculation of homological and cohomological sequences is illustrated.
Keywords :
algebra; graph theory; sequences; statistical analysis; Pearson residual; chain complex; cohomological sequences; degree of freedom; homological algebra; homological analysis; statistical dependency graph model; Calculus; Cohomology; Homology; Pearson Residual; statistical independence;
Conference_Titel :
Systems, Man and Cybernetics (SMC), 2014 IEEE International Conference on
Conference_Location :
San Diego, CA
DOI :
10.1109/SMC.2014.6974350
