Evidence Estimation by Kullback-Leibler Integration for Flow-Based Methods

Flow-based methods such as Stein Variational Gradient Descent caught a lot of interest due to their flexibility and the strong theory going with them. An usual issue however is to be able to compute the KL divergence or even possibly the log evidence. In this preliminary work we show that it's possible to obtain an approximation during inference by reusing the training computations. We show preliminary results on Gaussian targets but face issues with more complex problems.

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