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October 15, 2025Open Access

Designing Algorithms for Entropic Optimal Transport from an Optimisation Perspective

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The proposed methods achieve non-asymptotic rates of convergence under minimal structural assumptions.
Inspired by mirror descent, these methods stem from the associated semi-dual problem of optimal transport.
A momentum-equipped method is introduced, which provides accelerated guarantees similar to those in Euclidean optimization.
The broader framework also parallels concepts in the dynamical Schrödinger bridge problem.

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This work develops novel optimal transport methods based on optimisation principles, indicating faster convergence.

Srinivasan et al. (2025) studied this question.

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