2 papers
math.NA2026
A Measure-Consistent Operator Learning Method for Infinite-Dimensional Master Equations
Chenyao Wang, Hongyu Liu, Hui Liang
Master equations in mean field game theory characterize feedback value functions that depend on time, state (space), and the population distribution. Their numerical approximation…
math.NA2026
PINN-Based Kolmogorov-Arnold Networks with RAR-D Adaptive Sampling for Solving Elliptic Interface Problems
Zijuan Xin, Chenyao Wang, Feng Shi +1
Physics-Informed Neural Networks (PINNs) have become a popular and powerful framework for solving partial differential equations (PDEs), leveraging neural networks to approximate s…