3 papers
math.OC2026
A Decomposition Framework for Nonlinear Nonconvex Two-Stage Optimization
Yuchen Lou, Xinyi Luo, Andreas Wächter +1
We propose a new decomposition framework for continuous nonlinear constrained two-stage optimization, where both first- and second-stage problems can be nonconvex. A smoothing tech…
math.OC2026
Parameter-Efficient Subspace Optimization for LLM Fine-Tuning
Yuchen Lou, Zeqi Ye, Minshuo Chen
This paper develops a new perspective on parameter-efficient fine-tuning (PEFT) for LLMs, inspired by classical subspace minimization. We introduce a unifying framework, Parameter-…
math.OC2024
Design Guidelines for Noise-Tolerant Optimization with Applications in Robust Design
Yuchen Lou, Shigeng Sun, Jorge Nocedal
The development of nonlinear optimization algorithms capable of performing reliably in the presence of noise has garnered considerable attention lately. This paper advocates for st…