Name
Title | ||
|---|---|---|
Identifying the irreducible disjoint factors of a multivariate probability distribution. |
Abstract | ||
|---|---|---|
We study the problem of decomposing a multivariate probability distribution p(v) defined over a set of random variables V = {V1 ,. .. , Vn } into a product of factors defined over disjoint subsets {VF1 ,. .. , VFm }. We show that the decomposition of V into irreducible disjoint factors forms a unique partition, which corresponds to the connected components of a Bayesian or Markov network , given that it is faithful to p. Finally, we provide three generic procedures to identify these factors with O(n^2) pairwise conditional independence tests (Vi ⊥ Vj |Z) under much less restrictive assumptions: 1) p supports the Intersection property; ii) p supports the Composition property; iii) no assumption at all. |
Year | Venue | Field |
|---|---|---|
2016 | Probabilistic Graphical Models | Discrete mathematics,Random variable,Combinatorics,Disjoint sets,Joint probability distribution,Conditional independence,Multivariate statistics,Markov chain,Probability distribution,Partition (number theory),Mathematics |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
13 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maxime Gasse | 1 | 22 | 4.87 |
| Alex Aussem | 2 | 254 | 30.02 |