A contact-geometry reformulation of the Schrödinger bridge allows energy-varying paths and is solved as a non-iterative ResNet geodesic on the Wasserstein manifold.
Lars Ruthotto, Stanley J Osher, Wuchen Li, Levon Nurbekyan, and Samy Wu Fung
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Contact Wasserstein Geodesics for Non-Conservative Schr\"odinger Bridges
A contact-geometry reformulation of the Schrödinger bridge allows energy-varying paths and is solved as a non-iterative ResNet geodesic on the Wasserstein manifold.