Wasserstein Dictionary Learning: Optimal Transport-Based Unsupervised Nonlinear Dictionary Learning

Schmitz, MA; Heitz, M; Bonneel, N; Ngole, F; Coeurjolly, D; Cuturi, M; Peyre, G; Starck, JL

Schmitz, MA (reprint author), Univ Paris Saclay, CEA, IRFU, Astrophys Dept, F-91191 Gif Sur Yvette, France.; Schmitz, MA (reprint author), Univ Paris Diderot, CNRS, CEA, Sorbonne Paris Cite,AIM, F-91191 Gif Sur Yvette, France.

SIAM JOURNAL ON IMAGING SCIENCES, 2018; 11 (1): 643

Abstract

This paper introduces a new nonlinear dictionary learning method for histograms in the probability simplex. The method leverages optimal transport the......

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