Rocio P Diaz Martin — accepted AI-conference papers

2024

LCOT: Linear Circular Optimal Transport

Rocio P Diaz Martin, Ivan Vladimir Medri, Yikun Bai, Xinran Liu, Kangbai Yan, Gustavo Rohde +1

ICLR 2024poster

The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning. In this paper, we focus on circular probability measures, i.e., probability measures supported on the unit circle, and introduce…

Cited by 4 Source ↗PDF ↗Scholar ↗

2024

Stereographic Spherical Sliced Wasserstein Distances

Huy Tran, Yikun Bai, Abihith Kothapalli, Ashkan Shahbazi, Xinran Liu, Rocio P Diaz Martin +1

ICML 2024spotlight

Comparing spherical probability distributions is of great interest in various fields, including geology, medical domains, computer vision, and deep representation learning. The utility of optimal transport-based distances, such as the Wasserstein distance, for comparing probability measures has spur…

Cited by 8 Source ↗PDF ↗code ↗Scholar ↗