GILBO: One Metric to Measure Them All

Part of Advances in Neural Information Processing Systems 31 (NeurIPS 2018)

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Authors

Alexander A. Alemi, Ian Fischer

Abstract

<p>We propose a simple, tractable lower bound on the mutual information contained in the joint generative density of any latent variable generative model: the GILBO (Generative Information Lower BOund). It offers a data-independent measure of the complexity of the learned latent variable description, giving the log of the effective description length. It is well-defined for both VAEs and GANs. We compute the GILBO for 800 GANs and VAEs each trained on four datasets (MNIST, FashionMNIST, CIFAR-10 and CelebA) and discuss the results.</p>