Web: http://arxiv.org/abs/2209.10873

Sept. 23, 2022, 1:11 a.m. | Guillaume Morel (IMT Atlantique - ITI), Lucas Drumetz (Lab-STICC\_OSE, IMT Atlantique - MEE), Nicolas Courty (IRISA, UBS), François Rousseau (IMT

cs.LG updates on arXiv.org arxiv.org

Normalizing Flows (NF) are powerful likelihood-based generative models that
are able to trade off between expressivity and tractability to model complex
densities. A now well established research avenue leverages optimal transport
(OT) and looks for Monge maps, i.e. models with minimal effort between the
source and target distributions. This paper introduces a method based on
Brenier's polar factorization theorem to transform any trained NF into a more
OT-efficient version without changing the final density. We do so by learning a …

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