3 papers
math-ph2026
PatternFormer: Learning Multiple Solution Patterns in Reaction--Diffusion Systems
Zhipeng Chang, Wenpeng Yin, Wenrui Hao
Many nonlinear models across physics, chemistry, and biology exhibit multiple solutions for the same parameters, and capturing this entire solution set is essential for understandi…
math.NA2026
SVD-Preconditioned Gradient Descent Method for Solving Nonlinear Least Squares Problems
Zhipeng Chang, Wenrui Hao, Nian Liu
This paper introduces a novel optimization algorithm designed for nonlinear least-squares problems. The method is derived by preconditioning the gradient descent direction using th…
cs.LG2026
Fisher-Informed Parameterwise Aggregation for Federated Learning with Heterogeneous Data
Zhipeng Chang, Ting He, Wenrui Hao
Federated learning aggregates model updates from distributed clients, but standard first order methods such as FedAvg apply the same scalar weight to all parameters from each clien…