3 papers
math.OC2026
A Local Geometric Analysis of Maximal Coding Rate Reduction via Error Bounds
Peng Wang, Po Chen, Huikang Liu +1
While the maximal coding rate reduction (MCR) objective has become a useful principle for learning compact and discriminative representations, a theoretical understanding of it…
math.OC2025
A Complete Loss Landscape Analysis of Regularized Deep Matrix Factorization
Po Chen, Rujun Jiang, Peng Wang
Despite its wide range of applications across various domains, the optimization foundations of deep matrix factorization (DMF) remain largely open. In this work, we aim to fill thi…
math.OC2025
Error Bound Analysis for the Regularized Loss of Deep Linear Neural Networks
Po Chen, Rujun Jiang, Peng Wang
The optimization foundations of deep linear networks have recently received significant attention. However, due to their inherent non-convexity and hierarchical structure, analyzin…