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Zeroth-Order Fine-Tuning of LLMs in Random Subspaces

2024/10/11 by Ziming Yu, Pan Zhou, Yu, Ziming +7 · 4 citations
Computer Science · Engineering · #Advanced Data Compression Techniques #Advanced Wireless Communication Techniques #Artificial Intelligence (cs.AI) #Digital Filter Design and Implementation #FOS: Computer and information sciences #Machine Learning (cs.LG)

paper · pdf · doi:10.48550/arxiv.2410.08989

openalex publication_date 2024/10/11 · openalex created_date 2024/10/16 · openalex updated_date 2026/07/31

Abstract

Fine-tuning Large Language Models (LLMs) has proven effective for a variety of downstream tasks. However, as LLMs grow in size, the memory demands for backpropagation become increasingly prohibitive. Zeroth-order (ZO) optimization methods offer a memory-efficient alternative by using forward passes to estimate gradients, but the variance of gradient estimates typically scales linearly with the model's parameter dimension\unicodex2013a significant issue for LLMs. In this paper, we propose the random Subspace Zeroth-order (SubZero) optimization to address the challenges posed by LLMs' high dimensionality. We introduce a low-rank perturbation tailored for LLMs that significantly reduces memory consumption while improving training performance. Additionally, we prove that our gradient estimation closely approximates the backpropagation gradient, exhibits lower variance than traditional ZO methods, and ensures convergence when combined with SGD. Experimental results show that SubZero enhances fine-tuning performance and achieves faster convergence compared to standard ZO approaches like MeZO across various language modeling tasks. Code is available at https://github.com/zimingyy/SubZero.

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