English

Wasserstein Proximal of GANs

Machine Learning 2021-02-16 v1 Artificial Intelligence Numerical Analysis Numerical Analysis

Abstract

We introduce a new method for training generative adversarial networks by applying the Wasserstein-2 metric proximal on the generators. The approach is based on Wasserstein information geometry. It defines a parametrization invariant natural gradient by pulling back optimal transport structures from probability space to parameter space. We obtain easy-to-implement iterative regularizers for the parameter updates of implicit deep generative models. Our experiments demonstrate that this method improves the speed and stability of training in terms of wall-clock time and Fr\'echet Inception Distance.

Keywords

Cite

@article{arxiv.2102.06862,
  title  = {Wasserstein Proximal of GANs},
  author = {Alex Tong Lin and Wuchen Li and Stanley Osher and Guido Montufar},
  journal= {arXiv preprint arXiv:2102.06862},
  year   = {2021}
}
R2 v1 2026-06-23T23:07:33.941Z