3 papers
math.NA2025
Convergence Properties of PINNs for the Navier-Stokes-Cahn-Hilliard System
Kevin Buck, Roger Temam
Approximating solutions to differential equations using neural networks has become increasingly popular and shows significant promise. In this paper, we propose a simplified framew…
math.OC2025
Nonconvex optimization and convergence of stochastic gradient descent, and solution of asynchronous game
Kevin Buck, Jessica Babyak, Paolo Piersanti +3
We review convergence and behavior of stochastic gradient descent for convex and nonconvex optimization, establishing various conditions for convergence to zero of the variance of…
cs.GT2024
Sychronous vs. asynchronous coalitions in multiplayer games, with applications to guts poker
Jessica Babyak, Kevin Buck, Leah Dichter +2
We study the issue introduced by Buck-Lee-Platnick-Wheeler-Zumbrun of synchronous vs. asynchronous coalitions in multiplayer games, that is, the difference between coalitions with…