Conference paper

Bouckaert R. R., Studený M.

Proceedings of the 8th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty.

Springer

Berlin

2005

221-232

RNDr. Milan Studený, DrSc. (ÚTIA - Oddělení matematické teorie rozhodování)

In this article, we consider the computational aspects of deciding whether a conditional independence statement t is implied by a list of conditional independence statements L using the implication related to the method of structural imsets. We present two methods which have the interesting complementary properties that one method performs well to prove that t is implied by L, while the other performs well to prove that t is not implied by L. However, both methods do not perform well the opposite. This gives rise to a parallel algorithm in which both methods race against each other in order to determine effectively whether t is or is not implied.
Some empirical evidence is provided that suggest this racing algorithms method performs a lot better than an existing method based on so-called skeletal characterization of the respective implication. Furthermore, the method is able to handle more than five variables.