Joint stochastic localization induces a new family of sampling-based distances between probability measures, including a 0-distance topologically equivalent to the 2-Wasserstein distance on compactly supported measures.
Eldan’s stochastic localization and the KLS hyperplane con- jecture: an improved lower bound for expansion
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Joint stochastic localization and applications
Joint stochastic localization induces a new family of sampling-based distances between probability measures, including a 0-distance topologically equivalent to the 2-Wasserstein distance on compactly supported measures.