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Neural Permutation Processes

2019-10-16 · pproximateinference AABI Symposium 2019 12 · Ari Pakman, Yueqi Wang, Liam Paninski

We introduce a neural architecture to perform amortized approximate Bayesian inference over latent random permutations of two sets of objects. The method involves approximating permanents of matrices of pairwise probabilities using recent ideas on functions defined over sets. Each sampled permutation comes with a probability estimate, a quantity unavailable in MCMC approaches. We illustrate the method in sets of 2D points and MNIST images.

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Bayesian Inference

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