3 papers
cs.LG2026
Deep Hilbert--Galerkin Methods for Infinite-Dimensional PDEs and Optimal Control
Samuel N. Cohen, Filippo de Feo, Jackson Hebner +1
We develop deep learning-based approximation methods for fully nonlinear second-order PDEs on separable Hilbert spaces, such as HJB equations for infinite-dimensional control, by p…
math.OC2025
Neural Actor-Critic Methods for Hamilton-Jacobi-Bellman PDEs: Asymptotic Analysis and Numerical Studies
Samuel N. Cohen, Jackson Hebner, Deqing Jiang +1
We mathematically analyze and numerically study an actor-critic machine learning algorithm for solving high-dimensional Hamilton-Jacobi-Bellman (HJB) partial differential equations…
math.PR2023
Cutoff in the Bernoulli-Laplace Model With Unequal Colors and Urn Sizes
Thomas Griffin, Bailey Hall, Jackson Hebner +4
We consider a generalization of the Bernoulli-Laplace model in which there are two urns and total balls, of which are red and white, and where the left urn holds $m…