5 papers
Diffusion-Based Posterior Sampling: A Feynman-Kac Analysis of Bias and Stability
Matias G. Delgadino, Sebastien Motsch, Advait Parulekar +2
Diffusion-based posterior samplers use pretrained diffusion priors to sample from measurement- or reward-conditioned posteriors, and are widely used for inverse problems. Yet their…
Mass generation for the two dimensional O(N) Linear Sigma Model in the large N limit
MatÃas G. Delgadino, Scott A. Smith
This work studies the Linear Sigma Model on under a scaling dictated by the formal expansion. We show that in the large limit, correlations decay…
Continuous symmetrizations and uniqueness of solutions to nonlocal equations
Matias G. Delgadino, M. Vaughan
We show that nonlocal seminorms are strictly decreasing under the continuous Steiner rearrangement. This implies that all solutions to nonlocal equations which arise as critical po…
A Heintze-Karcher inequality with free boundaries and applications to capillarity theory
Matias G. Delgadino, Daniel Weser
In this paper we analyze the shape of a droplet inside a smooth container. To characterize their shape in the capillarity regime, we obtain a new form of the Heintze-Karcher inequa…
Entropy maximization in the two-dimensional Euler equations
Michele Coti Zelati, Matias G. Delgadino
We consider variational problem related to entropy maximization in the two-dimensional Euler equations, in order to investigate the long-time dynamics of solutions with bounded vor…