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arXiv · 1908.11462

Potential Flow Generator with $L_2$ Optimal Transport Regularity for Generative Models

Liu Yang·George Em Karniadakis
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Abstract

We propose a potential flow generator with $L_2$ optimal transport regularity, which can be easily integrated into a wide range of generative models including different versions of GANs and flow-based models. We show the correctness and robustness of the potential flow generator in several 2D problems, and illustrate the concept of "proximity" due to the $L_2$ optimal transport regularity. Subsequently, we demonstrate the effectiveness of the potential flow generator in image translation tasks with unpaired training data from the MNIST dataset and the CelebA dataset.

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Liu Yang, George Em Karniadakis. 2019-08-29. Potential Flow Generator with $L_2$ Optimal Transport Regularity for Generative Models. https://arxiv.org/abs/1908.11462

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