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A probabilistic or statistical model thought about as describing how the values in a sample is actually generated, and not only as a description or approximation.

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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 …
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