Tag: rho
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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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Sample and Map from a Single Convex Potential: Generation using Conjugate Moment Measures
Sample and Map from a Single Convex Potential: Generation using Conjugate Moment Measures arXiv:2503.10576v1 Announce Type: new Abstract: A common approach to generative modeling is to split model-fitting into two blocks: define first how to sample noise (e.g. Gaussian) and choose next what to do with it (e.g. using a single map or flows). We…