4 papers
Rate-Optimal Noise Annealing in Semi-Dual Neural Optimal Transport: Tangential Identifiability, Off-Manifold Ambiguity, and Guaranteed Recovery
Raymond Chu, Jaewoong Choi, Dohyun Kwon
Semi-dual neural optimal transport learns a transport map via a max-min objective, yet training can converge to incorrect or degenerate maps. We fully characterize these spurious s…
Guaranteeing Higher Order Convergence Rates for Accelerated Wasserstein Gradient Flow Schemes
Raymond Chu, Matt Jacobs
In this paper, we study higher-order-accurate-in-time minimizing movements schemes for Wasserstein gradient flows. We introduce a novel accelerated second-order scheme, leveraging…
The supercooled Stefan problem: fractal freezing and the fine structure of maximal solutions
Raymond Chu, Inwon Kim, Sebastian Munoz
We study the supercooled Stefan problem in arbitrary dimensions. First, we study general solutions and their irregularities, showing generic fractal freezing and nucleation, based…
The Nonlocal Stefan Problem via a Martingale Transport
Raymond Chu, Inwon Kim, Young-Heon Kim +1
We study the nonlocal Stefan problem, where the phase transition is described by a nonlocal diffusion as well as the change of enthalpy functions. By using a stochastic optimizatio…