2 papers
math.OC2026
Global Convergence and Error Propagation in Neural Gradient Flows: A Riemannian Optimization Framework
Shixin Zheng, Yiwei Wang, Haizhao Yang
We develop a geometric convergence theory for neural-network optimization within the minimizing movement scheme (MMS) framework. Reformulating each neural MMS step as a minimizatio…
math.NA2023
Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank
Tianmin Yu, Shixin Zheng, Jianfeng Lu +2
This paper introduces two explicit schemes to sample matrices from Gibbs distributions on , the manifold of real positive semi-definite (PSD) matrices of size $…