Search Results for author: Rocio Diaz Martin

Found 6 papers, 2 papers with code

Partial Gromov-Wasserstein Metric

no code implementations6 Feb 2024 Yikun Bai, Rocio Diaz Martin, Abihith Kothapalli, Hengrong Du, Xinran Liu, Soheil Kolouri

We establish that PGW is a well-defined metric between mm-spaces and discuss its theoretical properties, including the existence of a minimizer for the PGW problem and the relationship between PGW and GW, among others.

Stereographic Spherical Sliced Wasserstein Distances

no code implementations4 Feb 2024 Huy Tran, Yikun Bai, Abihith Kothapalli, Ashkan Shahbazi, Xinran Liu, Rocio Diaz Martin, Soheil Kolouri

Comparing spherical probability distributions is of great interest in various fields, including geology, medical domains, computer vision, and deep representation learning.

Representation Learning Self-Supervised Learning

LCOT: Linear circular optimal transport

no code implementations9 Oct 2023 Rocio Diaz Martin, Ivan Medri, Yikun Bai, Xinran Liu, Kangbai Yan, Gustavo K. Rohde, Soheil Kolouri

The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning.

Representation Learning

Linear Optimal Partial Transport Embedding

1 code implementation7 Feb 2023 Yikun Bai, Ivan Medri, Rocio Diaz Martin, Rana Muhammad Shahroz Khan, Soheil Kolouri

To address these limitations, variants of the OT problem, including unbalanced OT, Optimal partial transport (OPT), and Hellinger Kantorovich (HK), have been proposed.

Signed Cumulative Distribution Transform for Parameter Estimation of 1-D Signals

no code implementations16 Jul 2022 Sumati Thareja, Gustavo Rohde, Rocio Diaz Martin, Ivan Medri, Akram Aldroubi

The method builds upon signal estimation using the cumulative distribution transform (CDT) originally introduced for positive distributions.

The Signed Cumulative Distribution Transform for 1-D Signal Analysis and Classification

1 code implementation3 Jun 2021 Akram Aldroubi, Rocio Diaz Martin, Ivan Medri, Gustavo K. Rohde, Sumati Thareja

This paper presents a new mathematical signal transform that is especially suitable for decoding information related to non-rigid signal displacements.

Translation

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