reference request: are there nontrivial examples of problems in variational inference where one can provably solve the KL minimisation problem? i.e. find global minimiser in polynomial time. the only one i'm currently aware of is fitting a Gaussian to something log-concave.
Also this beautiful paper by J. Domke proves that you can replace Gaussian approximations by almost any location-scale family https://arxiv.org/abs/1901.08431
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Thanks Pierre - exactly the kind of thing I was looking for. Much appreciated.
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