7 citations · 8 across the 10 of their papers we have counts for
10 papers
Sandwich Slice: Optimal Transport Potentials Are Optimal Generalized Slicers
Rocio Diaz Martin, Xinran Liu, Matthew Thorpe +1
Sliced optimal transport replaces a transport problem in Rd by one-dimensional problems along scalar slices, and has been used both to lower bound the Wasserstein distance W1 (max-…
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, Rocío Díaz Martín, Ivan V. Medri +4
We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…
Efficient Transferable Optimal Transport via Min-Sliced Transport Plans
Xinran Liu, Elaheh Akbari, Rocio Diaz Martin +2
Optimal Transport (OT) offers a powerful framework for finding correspondences between distributions and addressing matching and alignment problems in various areas of computer vis…
Linear Partial Gromov-Wasserstein Embedding
Yikun Bai, Abihith Kothapalli, Hengrong Du +2
The Gromov-Wasserstein (GW) problem, a variant of the classical optimal transport (OT) problem, has attracted growing interest in the machine learning and data science communities…
Characterization of frames for source recovery from dynamical samples
Akram Aldroubi, Rocio Diaz Martin, Le Gong +2
In this paper, we address the problem of recovering constant source terms in a discrete dynamical system represented by , where is the -th state in a H…
LCOT: Linear circular optimal transport
Rocio Diaz Martin, Ivan Medri, Yikun Bai +4
The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning. In this p…
Dynamical Sampling for the Recovery of Spatially Constant Source Terms in Dynamical Systems
Akram Aldroubi, Rocio Diaz Martin, Ivan Medri
In this paper, we investigate the problem of source recovery in a dynamical system utilizing space-time samples. This is a specific issue within the broader field of dynamical samp…
Linear Optimal Partial Transport Embedding
Yikun Bai, Ivan Medri, Rocio Diaz Martin +2
Optimal transport (OT) has gained popularity due to its various applications in fields such as machine learning, statistics, and signal processing. However, the balanced mass requi…
Signed Cumulative Distribution Transform for Parameter Estimation of 1-D Signals
Sumati Thareja, Gustavo Rohde, Rocio Diaz Martin +2
We describe a method for signal parameter estimation using the signed cumulative distribution transform (SCDT), a recently introduced signal representation tool based on optimal tr…
The Signed Cumulative Distribution Transform for 1-D Signal Analysis and Classification
Akram Aldroubi, Rocio Diaz Martin, Ivan Medri +2
This paper presents a new mathematical signal transform that is especially suitable for decoding information related to non-rigid signal displacements. We provide a measure theoret…