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Intrinsic Contraction Theory and Stabilization of Probability Measures on the Wasserstein Space

Kim, Min et al.
arXiv (All) · Papers
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analysis-of-pdesoptimization-and-controlsystems-and-control
Deterministic flows can contract Wasserstein distances between probability laws without being contractive in point-state space. We develop a differential contraction theory for pushforward flows on forward-invariant subsets of the 2-Wasserstein space that quotients out the gauge freedom of the conti
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