3 papers
cs.LG2025
PIONM: A Generalized Approach to Solving Density-Constrained Mean-Field Games Equilibrium under Modified Boundary Conditions
Jinwei Liu, Wang Yao, Xiao Zhang
Neural network-based methods are effective for solving equilibria in Mean-Field Games (MFGs), particularly in high-dimensional settings. However, solving the coupled partial differ…
math.OC2024
Social optimum of finite mean field games: existence and uniqueness of equilibrium solutions in the finite horizon and stationary solutions in the infinite horizon
Zijia Niu, Sanjin Huang, Lu Ren +2
In this paper, we consider the social optimal problem of discrete time finite state space mean field games (referred to as finite mean field games [1]). Unlike the individual optim…
physics.chem-ph2024
Multi-task learning for molecular electronic structure approaching coupled-cluster accuracy
Hao Tang, Brian Xiao, Wenhao He +6
Machine learning (ML) plays an important role in quantum chemistry, providing fast-to-evaluate predictive models for various properties of molecules. However, most existing ML mode…