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SGD Learns One-Layer Networks in WGANs

Machine Learning 2020-07-03 v2 Machine Learning

Abstract

Generative adversarial networks (GANs) are a widely used framework for learning generative models. Wasserstein GANs (WGANs), one of the most successful variants of GANs, require solving a minmax optimization problem to global optimality, but are in practice successfully trained using stochastic gradient descent-ascent. In this paper, we show that, when the generator is a one-layer network, stochastic gradient descent-ascent converges to a global solution with polynomial time and sample complexity.

Keywords

Cite

@article{arxiv.1910.07030,
  title  = {SGD Learns One-Layer Networks in WGANs},
  author = {Qi Lei and Jason D. Lee and Alexandros G. Dimakis and Constantinos Daskalakis},
  journal= {arXiv preprint arXiv:1910.07030},
  year   = {2020}
}

Comments

24 pages, 4 figures, ICML2020

R2 v1 2026-06-23T11:44:45.477Z