Network-based heuristics for constraint-satisfaction problems
Artificial Intelligence
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Approximating probabilistic inference in Bayesian belief networks is NP-hard
Artificial Intelligence
Approximating Probabilistic Inference in Bayesian Belief Networks
IEEE Transactions on Pattern Analysis and Machine Intelligence
Where the really hard problems are
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
Sample-and-accumulate algorithms for belief updating in Bayes networks
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Models and thresholds for random constraint satisfaction problems
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
An Examination of Probabilistic Value-Ordering Heuristics
AI '99 Proceedings of the 12th Australian Joint Conference on Artificial Intelligence: Advanced Topics in Artificial Intelligence
Probabilistic arc consistency: a connection between constraint reasoning and probabilistic reasoning
UAI'00 Proceedings of the Sixteenth conference on Uncertainty in artificial intelligence
Rational deployment of CSP heuristics
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume One
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The problem of counting the number of solutions to a constraint satisfaction problem (CSP) is rephrased in terms of probability updating in Bayes networks. Approximating the probabilities in Bayes networks is a problem which has been studied for a while, and may well provide a good approximation to counting the number of solutions. We use a simple approximation based on independence, and show that it is correct for tree-structured CSPs. For other CSPs, it is a less optimistic approximation than those suggested in prior work, and experiments show that it is more accurate on the average. We present empirical evidence that our approximation is a useful search heuristic for finding a single solution to a CSP.