Title
Algebraic analysis of statistical dependence
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.
Year
DOI
Venue
2013
10.1109/GrC.2013.6740426
Granular Computing
Keywords
Field
DocType
algebra,graph theory,statistical analysis,homological algebra analysis,statistical dependency graph model,Cohomology,Homology,Pearson Residual,Statistical Independence
Integral graph,Artificial intelligence,Filtered algebra,Exponential random graph models,Algebraic graph theory,Dependency graph,Graph theory,Graph algebra,Discrete mathematics,Algebra,Pattern recognition,Tutte polynomial,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Shusaku Tsumoto11820294.19
Shoji Hirano256099.17