papers

Publications (13)

cs.LG2025

Bilevel ZOFO: Efficient LLM Fine-Tuning and Meta-Training

Reza Shirkavand, Peiran Yu, Qi He +1

Fine-tuning pre-trained Large Language Models (LLMs) for downstream tasks using First-Order (FO) optimizers presents significant computational challenges. Parameter-Efficient Fine-…

cs.LG2026

Breaking the Correlation Plateau: On the Optimization and Capacity Limits of Attention-Based Regressors

Jingquan Yan, Yuwei Miao, Peiran Yu +1

Attention-based regression models are often trained by jointly optimizing Mean Squared Error (MSE) loss and Pearson correlation coefficient (PCC) loss, emphasizing the magnitude of…

cs.LG2025

Efficient Fine-Tuning and Concept Suppression for Pruned Diffusion Models

Reza Shirkavand, Peiran Yu, Shangqian Gao +3

Recent advances in diffusion generative models have yielded remarkable progress. While the quality of generated content continues to improve, these models have grown considerably i…

math.OC2017

Iteratively reweighted algorithms with extrapolation

Peiran Yu, Ting Kei Pong

Iteratively reweighted algorithm is a popular algorithm for solving a large class of optimization problems whose objective is the sum of a Lipschitz differentiable loss fu…

cs.LG2025

Provably Mitigating Corruption, Overoptimization, and Verbosity Simultaneously in Offline and Online RLHF/DPO Alignment

Ziyi Chen, Junyi Li, Peiran Yu +1

Reinforcement learning from human feedback (RLHF) and direct preference optimization (DPO) are important techniques to align large language models (LLM) with human preference. Howe…

math.OC2025

Convergence analysis for a variant of manifold proximal point algorithm based on Kurdyka-Łojasiewicz property

Peiran Yu, Liaoyuan Zeng, Ting Kei Pong

We incorporate an iteratively reweighted strategy in the manifold proximal point algorithm (ManPPA) in [12] to solve an enhanced sparsity inducing model for identifying sparse yet…

math.OC2021

Analysis and algorithms for some compressed sensing models based on L1/L2 minimization

Liaoyuan Zeng, Peiran Yu, Ting Kei Pong

Recently, in a series of papers [32,38,39,41], the ratio of and norms was proposed as a sparsity inducing function for noiseless compressed sensing. In this paper…

cs.LG2025

Cost-Aware Contrastive Routing for LLMs

Reza Shirkavand, Shangqian Gao, Peiran Yu +1

We study cost-aware routing for large language models across diverse and dynamic pools of models. Existing approaches often overlook prompt-specific context, rely on expensive mode…

cs.AI2026

New Hybrid Fine-Tuning Paradigm for LLMs: Algorithm Design and Convergence Analysis Framework

Shaocong Ma, Peiran Yu, Heng Huang

Fine-tuning Large Language Models (LLMs) typically involves either full fine-tuning, which updates all model parameters, or Parameter-Efficient Fine-Tuning (PEFT), which adjusts a…

math.OC2025

Zeroth-Order Methods for Stochastic Nonconvex Nonsmooth Composite Optimization

Ziyi Chen, Peiran Yu, Heng Huang

This work aims to solve a stochastic nonconvex nonsmooth composite optimization problem. Previous works on composite optimization problem requires the major part to satisfy Lipschi…

math.OC2021

Convergence rate analysis of a sequential convex programming method with line search for a class of constrained difference-of-convex optimization problems

Peiran Yu, Ting Kei Pong, Zhaosong Lu

In this paper, we study the sequential convex programming method with monotone line search (SCP) in [46] for a class of difference-of-convex (DC) optimization problems with…

math.OC2021

Kurdyka-Łojasiewicz exponent via inf-projection

Peiran Yu, Guoyin Li, Ting Kei Pong

Kurdyka-Lojasiewicz (KL) exponent plays an important role in estimating the convergence rate of many contemporary first-order methods. In particular, a KL exponent of for…

cs.LG2025

Revisiting Convergence: Shuffling Complexity Beyond Lipschitz Smoothness

Qi He, Peiran Yu, Ziyi Chen +1

Shuffling-type gradient methods are favored in practice for their simplicity and rapid empirical performance. Despite extensive development of convergence guarantees under various…