Light Entropic Optimal Transport on Riemannian Manifolds

arXiv:2610.03085 · cs.LG · Submitted 2026-10-02 · Read on arXiv

cs.LG

Submitted: 2026-10-02

Updated: 2026-10-02

Code: https://github.com/iamalexkorotin/NeuralOptimalTransport

Terminology

• Optimal Transport — 1× in this paper · explained in 5 episodes

Sources

• Neural Optimal Transport with General Cost Functionals
• Flow Matching on General Geometries
• Riemannian Convex Potential Maps
• Score-based Generative Neural Networks for Large-Scale Optimal Transport
• Building the Bridge of Schr\"odinger: A Continuous Entropic Optimal Transport Benchmark
• Do Neural Optimal Transport Solvers Work? A Continuous Wasserstein-2 Benchmark
• A survey of the Schr\"odinger problem and some of its connections with optimal transport
• Riemannian Continuous Normalizing Flows
• Riemannian Neural Optimal Transport
• Entropic Riemannian Neural Optimal Transport
• Learning of Population Dynamics: Inverse Optimization Meets JKO Scheme
• Entropic estimation of optimal transport maps
• Large-Scale Optimal Transport and Mapping Estimation
• Simulation-free Schr\"odinger bridges via score and flow matching

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