93 citations · 107 across the 6 of their papers we have counts for
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stat.ML2019★ 14 cited
Ground Metric Learning on Graphs
Matthieu Heitz, Nicolas Bonneel, David Coeurjolly +2
Optimal transport (OT) distances between probability distributions are parameterized by the ground metric they use between observations. Their relevance for real-life applications…
stat.ML2017★ 93 cited
Wasserstein Dictionary Learning: Optimal Transport-based unsupervised non-linear dictionary learning
Morgan A. Schmitz, Matthieu Heitz, Nicolas Bonneel +5
This paper introduces a new nonlinear dictionary learning method for histograms in the probability simplex. The method leverages optimal transport theory, in the sense that our aim…