Measure-driven neural solver for optimal transport mapping

S Li, Z Li, Z Wang, Z Xu, N Lei… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Optimal transport (OT) studies the most economical transformation of one probability
measure into another, attracting attention across diverse fields and inspiring various OT …

Accelerating sinkhorn algorithm with sparse newton iterations

X Tang, M Shavlovsky, H Rahmanian, E Tardini… - arXiv preprint arXiv …, 2024 - arxiv.org
Computing the optimal transport distance between statistical distributions is a fundamental
task in machine learning. One remarkable recent advancement is entropic regularization …

A Sinkhorn-type Algorithm for Constrained Optimal Transport

X Tang, H Rahmanian, M Shavlovsky… - arXiv preprint arXiv …, 2024 - arxiv.org
Entropic optimal transport (OT) and the Sinkhorn algorithm have made it practical for
machine learning practitioners to perform the fundamental task of calculating transport …