Diffusion Approximation to Schrödinger Bridges on Manifolds

Learn about diffusion approximations to Schrödinger bridges on manifolds in this 10-minute conference talk by Garrett Mulcahy from the University of Washington, Seattle, presented at the Fields Institute as part of the "Optimal transport: stochastics, projections, and applications" workshop. Explore the mathematical connections between optimal transport theory and stochastic processes, focusing specifically on how diffusion processes can approximate Schrödinger bridge problems when working on manifold structures. Gain insights into advanced topics in stochastic optimal transport and understand the theoretical foundations that bridge differential geometry, probability theory, and optimal transport on curved spaces.