GAN and VAE from an Optimal Transport Point of View

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Abstract

This short article revisits some of the ideas introduced in arXiv:1701.07875 and arXiv:1705.07642 in a simple setup. This sheds some lights on the connexions between Variational Autoencoders (VAE), Generative Adversarial Networks (GAN) and Minimum Kantorovitch Estimators (MKE).

Abstract (translated by Google)

URL

https://arxiv.org/abs/1706.01807

PDF

https://arxiv.org/pdf/1706.01807