Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
On the complexity of approximating k-set packing
Computational Complexity
Bioinformatics
ProbLog: a probabilistic prolog and its application in link discovery
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
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ProbLog is a probabilistic extension of Prolog. Given the complexity of exact inference under ProbLog's semantics, in many applications in machine learning approximate inference is necessary. Current approximate inference algorithms for ProbLog however require either dealing with large numbers of proofs or do not guarantee a low approximation error. In this paper we introduce a new approximate inference algorithm which addresses these shortcomings. Given a user-specified parameter k, this algorithm approximates the success probability of a query based on at most k proofs and ensures that the calculated probability p is (1−1/e)p*≤p≤p*, where p* is the highest probability that can be calculated based on any set of k proofs.