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horizontal lift

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papersTODAY 04:00 UTC

arXiv paper proves equivalence of two Schrodinger bridge formulations on Lie groups

A new arXiv preprint shows that the stochastic optimal control and path space formulations of the Schrodinger bridge problem are equivalent for the kinematic equation on compact connected Lie groups. The proof relies on geometric tools such as the horizontal lift. The result connects control-theoretic and measure-theoretic views of this class of optimal transport problems.

research/optimization/math/arxiv