3 papers
math.PR2026
The Mean-Field Limit of Online Stochastic Vector Balancing
Christian Fiedler, Joe Jackson, Daniel Lacker +1
We study an online vector balancing problem, in which independent Gaussian random vectors , each of dimension…
math.AP2025
Geodesic convexity and strengthened functional inequalities in submanifolds of Wasserstein space
Louis-Pierre Chaintron, Daniel Lacker
We study the geodesic convexity of various energy and entropy functionals restricted to (non-geodesically convex) submanifolds of Wasserstein spaces with their induced geometry. We…
stat.ML2024
Convergence of coordinate ascent variational inference for log-concave measures via optimal transport
Manuel Arnese, Daniel Lacker
Mean field variational inference (VI) is the problem of finding the closest product (factorized) measure, in the sense of relative entropy, to a given high-dimensional probability…