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Variational Bayesian methods approximate intractable integrals found in Bayesian inference and machine learning. Primarily, these methods serve one of two purposes: Approximating the posterior distribution, or bounding the marginal likelihood of observed data.
2
votes
Accepted
Help with derivation of Mean Field Variational Inference
The main issue is that the integrals involved are multivariate. A confusing thing about Bishop's notation is that, inside those integrals, $q_i$ should actually be $q_i(\mathbf{Z}_i)$.
So we want to …
7
votes
Accepted
Is the optimization of the Gaussian VAE well-posed?
I co-wrote a paper on this exact problem:
https://papers.nips.cc/paper/7642-leveraging-the-exact-likelihood-of-deep-latent-variable-models
We show that, as you thought, maximum-likelihood is ill-pos …