4 papers
RINS: Residual-Image Neural Subspace Solvers for Large Sparse Linear Systems
Zhongyan Ouyang, Weixin Liao, Mingquan Feng +2
Large sparse linear systems from PDE discretizations require correction subspaces whose operator images explain the current residual. We study this residual-image viewpoint and pro…
KITINet: KInetic Theory Inspired Inter-Channel Information Exchange for Residual Networks
Mingquan Feng, Yifan Fu, Tongcheng Zhang +3
Residual connections are foundational to modern neural networks, yet the standard additive update provides no explicit mechanism for structured inter-channel interaction. We introd…
KO: Kinetics-inspired Neural Optimizer with PDE Simulation Approaches
Mingquan Feng, Yixin Huang, Yifan Fu +2
The design of effective optimization algorithms for neural networks remains a fundamental challenge, and most existing methods rely on heuristic extensions of gradient-based update…
Optimal Control Operator Perspective and a Neural Adaptive Spectral Method
Mingquan Feng, Zhijie Chen, Yixin Huang +2
Optimal control problems (OCPs) involve finding a control function for a dynamical system such that a cost functional is optimized. It is central to physical systems in both academ…