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Fine-tuning Large Language Models (LLMs) with first-order methods like back-propagation is computationally intensive. Zeroth-Order (ZO) optimisation uses function evaluations instead of gradients, reducing memory usage, but suffers from…

计算与语言 · 计算机科学 2025-07-24 Alessio Galatolo , Zhenbang Dai , Katie Winkle , Meriem Beloucif

Fine-tuning large language models (LLMs) using standard first-order (FO) optimization often drives training toward sharp, poorly generalizing minima. Conversely, zeroth-order (ZO) methods offer stronger exploratory behavior without relying…

机器学习 · 计算机科学 2026-01-12 Feihu Jin , Ying Tan

Zeroth-order (ZO) optimization is being recognized as a simple yet powerful alternative to standard backpropagation (BP)-based training. Notably, ZO optimization allows for training with only forward passes and (almost) the same memory as…

机器学习 · 计算机科学 2025-01-09 Keisuke Sugiura , Hiroki Matsutani

Iterative optimization is central to modern artificial intelligence (AI) and provides a crucial framework for understanding adaptive systems. This review provides a unified perspective on this subject, bridging classic theory with neural…

机器学习 · 计算机科学 2025-10-22 Jesús García Fernández , Nasir Ahmad , Marcel van Gerven

Zeroth-order optimization (ZO) is a memory-efficient strategy for fine-tuning Large Language Models using only forward passes. However, the application of ZO fine-tuning in memory-constrained settings such as mobile phones and laptops is…

Zeroth-order optimization (ZO) has demonstrated remarkable promise in efficient fine-tuning tasks for Large Language Models (LLMs). In particular, recent advances incorporate the low-rankness of gradients, introducing low-rank ZO estimators…

机器学习 · 计算机科学 2025-02-03 Yan Sun , Tiansheng Huang , Liang Ding , Li Shen , Dacheng Tao

We consider the problem of minimizing a high-dimensional objective function, which may include a regularization term, using (possibly noisy) evaluations of the function. Such optimization is also called derivative-free, zeroth-order, or…

最优化与控制 · 数学 2023-03-20 HanQin Cai , Daniel Mckenzie , Wotao Yin , Zhenliang Zhang

Large language models (LLMs) excel across various tasks, but standard first-order (FO) fine-tuning demands considerable memory, significantly limiting real-world deployment. Recently, zeroth-order (ZO) optimization stood out as a promising…

机器学习 · 计算机科学 2025-11-04 Qitao Tan , Jun Liu , Zheng Zhan , Caiwei Ding , Yanzhi Wang , Xiaolong Ma , Jaewoo Lee , Jin Lu , Geng Yuan

Zeroth-order (ZO) optimization has become increasingly popular and important in fine-tuning large language models (LLMs), especially on edge devices due to its ability to adjust the model to local data without the need for memory-intensive…

机器学习 · 计算机科学 2026-05-18 Jiahe Chen , Ziye Ma

Zeroth-order (ZO) optimization is one key technique for machine learning problems where gradient calculation is expensive or impossible. Several variance reduced ZO proximal algorithms have been proposed to speed up ZO optimization for…

最优化与控制 · 数学 2024-10-04 Bin Gu , Xiyuan Wei , Hualin Zhang , Yi Chang , Heng Huang

Vision-Language Continual Learning (VLCL) has attracted significant research attention for its robust capabilities, and the adoption of Parameter-Efficient Fine-Tuning (PEFT) strategies is enabling these models to achieve competitive…

计算机视觉与模式识别 · 计算机科学 2026-01-12 Ziwei Liu , Borui Kang , Wei Li , Hangjie Yuan , Yanbing Yang , Wenbin Li , Yifan Zhu , Tao Feng , Jun Luo

In the evolving landscape of natural language processing (NLP), fine-tuning pre-trained Large Language Models (LLMs) with first-order (FO) optimizers like SGD and Adam has become standard. Yet, as LLMs grow {in size}, the substantial memory…

As application demands for zeroth-order (gradient-free) optimization accelerate, the need for variance reduced and faster converging approaches is also intensifying. This paper addresses these challenges by presenting: a) a comprehensive…

机器学习 · 计算机科学 2018-06-08 Sijia Liu , Bhavya Kailkhura , Pin-Yu Chen , Paishun Ting , Shiyu Chang , Lisa Amini

Fine-tuning large language models (LLMs) has achieved remarkable success across various NLP tasks, but the substantial memory overhead during backpropagation remains a critical bottleneck, especially as model scales grow. Zeroth-order (ZO)…

计算与语言 · 计算机科学 2026-01-09 Feihu Jin , Shipeng Cen , Ying Tan

Zeroth-order (ZO) optimization is an emerging deep neural network (DNN) training paradigm that offers computational simplicity and memory savings. However, this seemingly promising approach faces a significant and long-ignored challenge. ZO…

机器学习 · 计算机科学 2025-07-28 Qitao Tan , Sung-En Chang , Rui Xia , Huidong Ji , Chence Yang , Ci Zhang , Jun Liu , Zheng Zhan , Zhenman Fang , Zhou Zou , Yanzhi Wang , Jin Lu , Geng Yuan

Deep learning models, despite their impressive achievements, suffer from high computational costs and memory requirements, limiting their usability in resource-constrained environments. Sparse neural networks significantly alleviate these…

机器学习 · 计算机科学 2026-03-16 Jie Ji , Gen Li , Kaiyuan Deng , Fatemeh Afghah , Xiaolong Ma

Zeroth-order (ZO) optimization is popular in real-world applications that accessing the gradient information is expensive or unavailable. Recently, adaptive ZO methods that normalize gradient estimators by the empirical standard deviation…

最优化与控制 · 数学 2026-02-03 Haishan Ye , Luo Luo

Fine-tuning large language models (LLMs) using zeroth-order optimization (ZO) offers a memory-efficient alternative to gradient-based methods but suffers from slower convergence and unstable optimization due to noisy gradient estimates.…

机器学习 · 计算机科学 2025-06-24 Jikai Long , Zijian Hu , Xiaodong Yu , Jianwen Xie , Zhaozhuo Xu

Single-point zeroth-order optimization (SZO) is useful in solving online black-box optimization and control problems in time-varying environments, as it queries the function value only once at each time step. However, the vanilla SZO method…

最优化与控制 · 数学 2022-06-20 Xin Chen , Yujie Tang , Na Li

Fine-tuning vision language models (VLMs) has achieved remarkable performance across various downstream tasks; yet, it requires access to model gradients through backpropagation (BP), making them unsuitable for memory-constrained,…

机器学习 · 计算机科学 2025-10-27 Yifan Yang , Zhen Zhang , Rupak Vignesh Swaminathan , Jing Liu , Nathan Susanj , Zheng Zhang