3 papers
math.OC2025
Convergent Proximal Multiblock ADMM for Nonconvex Dynamics-Constrained Optimization
Bowen Li, Ya-xiang Yuan
This paper proposes a provably convergent multiblock ADMM for nonconvex optimization with nonlinear dynamics constraints, overcoming the divergence issue in classical extensions. W…
cs.LG2025
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective
Sifan Wang, Ananyae Kumar Bhartari, Bowen Li +1
Multi-task learning through composite loss functions is fundamental to modern deep learning, yet optimizing competing objectives remains challenging. We present new theoretical and…
math.NA2024
Numerical Solution for Nonlinear 4D Variational Data Assimilation (4D-Var) via ADMM
Bowen Li, Bin Shi
The four-dimensional variational data assimilation (4D-Var) has emerged as an important methodology, widely used in numerical weather prediction, oceanographic modeling, and climat…