Tag: jko
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Implicit Bias of the JKO Scheme
Implicit Bias of the JKO Scheme arXiv:2511.14827v1 Announce Type: new Abstract: Wasserstein gradient flow provides a general framework for minimizing an energy functional $J$ over the space of probability measures on a Riemannian manifold $(M,g)$. Its canonical time-discretization, the Jordan-Kinderlehrer-Otto (JKO) scheme, produces for any step size $eta>0$ a sequence of probability distributions $rho_k^eta$ that…
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Computational and Statistical Asymptotic Analysis of the JKO Scheme for Iterative Algorithms to update distributions
Computational and Statistical Asymptotic Analysis of the JKO Scheme for Iterative Algorithms to update distributions arXiv:2501.06408v1 Announce Type: new Abstract: The seminal paper of Jordan, Kinderlehrer, and Otto introduced what is now widely known as the JKO scheme, an iterative algorithmic framework for computing distributions. This scheme can be interpreted as a Wasserstein gradient flow…