Title
On the Complexity of Strong and Epistemic Credal Networks.
Abstract
Credal networks are graph-based statistical models whose parameters take values in a set, instead of being sharply specified as in traditional statistical models (e.g., Bayesian networks). The computational complexity of inferences on such models depends on the irrelevance/independence concept adopted. In this paper, we study inferential complexity under the concepts of epistemic irrelevance and strong independence. We show that inferences under strong independence are NP-hard even in trees with ternary variables. We prove that under epistemic irrelevance the polynomial time complexity of inferences in credal trees is not likely to extend to more general models (e.g. singly connected networks). These results clearly distinguish networks that admit efficient inferences and those where inferences are most likely hard, and settle several open questions regarding computational complexity.
Year
Venue
Keywords
2013
UAI
computer sciences
DocType
Volume
Citations 
Journal
abs/1309.6845
7
PageRank 
References 
Authors
0.45
16
4
Name
Order
Citations
PageRank
Denis Deratani Mauá116524.64
Cassio Polpo De Campos254042.21
Alessio Benavoli322930.52
Alessandro Antonucci418923.31