We identify the computational complexity of conditional independence and of all these related independence relations.
One can also validate all found conditional independence relations in independent data.
In the case of our study, we were provided only with a small set of SNPs for the independent validation dataset (EIRA), thus we cannot validate all conditional independence relations found in the NARAC dataset.
This model implies that X and Z are unconditionally independent, and that there are no further non-trivial conditional or unconditional independence relations.
As a result of Kosovo's declaration of independence, relations between Belgrade, the EU, and the US are at their lowest levels since Slobodan Milosevic was in power.
Many characterizations and properties of these independence relations are provided.
This graph would satisfy the MC with respect to P: none of the independence relations mandated by the MC are absent (in fact, the MC mandates no independence relations).
This is a function of the dependence or independence relations between the consulted experts and other experts in the field.
Maintaining a multiplicative decomposition of clique and separator potentials offers a tradeoff between off-line constructed junction trees and on-line exploitation of barren variables and independence relations induced by evidence.
In this paper we present a junction tree based inference architecture exploiting the structure of the original Bayesian network and independence relations induced by evidence to improve the efficiency of inference.
