Computing Upper and Lower Bounds on Likelihoods in Intractable Networks
This addresses the challenge of probabilistic inference in large or complex networks where exact computation is infeasible, though it appears incremental as it builds on existing bounding methods.
The paper tackles the problem of computing marginal probabilities in intractable sigmoid and noisy-OR networks by developing deterministic techniques for upper and lower bounds, with results demonstrated through numerical experiments showing tightness.
We present deterministic techniques for computing upper and lower bounds on marginal probabilities in sigmoid and noisy-OR networks. These techniques become useful when the size of the network (or clique size) precludes exact computations. We illustrate the tightness of the bounds by numerical experiments.