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Vivien Seguy

3 accepted papers

2018

Large Scale Optimal Transport and Mapping Estimation

ICLR 2018poster

This paper presents a novel two-step approach for the fundamental problem of learning an optimal map from one distribution to another. First, we learn an optimal transport (OT) plan, which can be thought as a one-to-many map between the two distributions. To that end, we propose a stochastic dual ap…

Cited by 291SourcePDFScholar
2015

Principal Geodesic Analysis for Probability Measures under the Optimal Transport Metric

NeurIPS 2015poster

We consider in this work the space of probability measures $P(X)$ on a Hilbert space $X$ endowed with the 2-Wasserstein metric. Given a finite family of probability measures in $P(X)$, we propose an iterative approach to compute geodesic principal components that summarize efficiently that dataset.…

Cited by 109SourcePDFScholar