On the Gradient Formula for learning Generative Models with Regularized Optimal Transport Costs

• Published in: Transactions on Machine Learning Research Journal
• Main Authors: Houdard, Antoine, Leclaire, Arthur, Papadakis, Nicolas, Rabin, Julien
• Format: Journal Article
• Language: English
• Published: [Amherst Massachusetts]: OpenReview.net, 2022 14.07.2023
• Subjects: Artificial Intelligence; Computer Science; Engineering Sciences; Machine Learning; Signal and Image processing; Statistics

The use of optimal transport costs for learning generative models has become popular with Wasserstein Generative Adversarial Networks (WGANs). Training a WGAN requires the computation of the differentiation of the optimal transport cost with respect to the parameters of the generative model. In this...