Web: http://arxiv.org/abs/2206.07767

June 17, 2022, 1:10 a.m. | Alexander Korotin, Alexander Kolesov, Evgeny Burnaev

cs.LG updates on arXiv.org arxiv.org

Wasserstein Generative Adversarial Networks (WGANs) are the popular
generative models built on the theory of Optimal Transport (OT) and the
Kantorovich duality. Despite the success of WGANs, it is still unclear how well
the underlying OT dual solvers approximate the OT cost (Wasserstein-1 distance,
$\mathbb{W}_{1}$) and the OT gradient needed to update the generator. In this
paper, we address these questions. We construct 1-Lipschitz functions and use
them to build ray monotone transport plans. This strategy yields pairs of
continuous …

arxiv gans lg transport

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