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Zeroth-order (ZO) optimization enables memory-efficient training of neural networks by estimating gradients via forward passes only, eliminating the need for backpropagation. However, the stochastic nature of gradient estimation…

Machine Learning · Computer Science 2026-03-24 Chen Zhang , Yuxin Cheng , Chenchen Ding , Shuqi Wang , Jingreng Lei , Runsheng Yu , Yik-Chung WU , Ngai Wong

In the learning to learn (L2L) framework, we cast the design of optimization algorithms as a machine learning problem and use deep neural networks to learn the update rules. In this paper, we extend the L2L framework to zeroth-order (ZO)…

Machine Learning · Computer Science 2020-02-10 Yangjun Ruan , Yuanhao Xiong , Sashank Reddi , Sanjiv Kumar , Cho-Jui Hsieh

Gradient descent and backpropagation have enabled neural networks to achieve remarkable results in many real-world applications. Despite ongoing success, training a neural network with gradient descent can be a slow and strenuous affair. We…

Machine Learning · Computer Science 2020-11-19 Varun Ranganathan , Alex Lewandowski

Zeroth-Order Optimization (ZOO) provides powerful tools for optimizing functions where explicit gradients are unavailable or expensive to compute. However, the underlying mechanisms of popular ZOO methods, particularly those employing…

Machine Learning · Computer Science 2025-06-18 Junbin Qiu , Zhengpeng Xie , Xiangda Yan , Yongjie Yang , Yao Shu

Zero-order (ZO) optimization is a powerful tool for dealing with realistic constraints. On the other hand, the gradient-tracking (GT) technique proved to be an efficient method for distributed optimization aiming to achieve consensus.…

Machine Learning · Computer Science 2024-10-10 Elissa Mhanna , Mohamad Assaad

Zeroth-order (ZO) optimization has long been favored for its biological plausibility and its capacity to handle non-differentiable objectives, yet its computational complexity has historically limited its application in deep neural…

Machine Learning · Computer Science 2026-02-12 Sansheng Cao , Zhengyu Ma , Yonghong Tian

Prompt learning has become a key method for adapting large language models to specific tasks with limited data. However, traditional gradient-based optimization methods for tuning prompts are computationally intensive, posing challenges for…

Statistics Theory · Mathematics 2025-12-30 Yao Fu , Yihang Jin , Chunxia Zhang , Junmin Liu , Guang Dai , Haishan Ye

$\ell_0$ constrained optimization is prevalent in machine learning, particularly for high-dimensional problems, because it is a fundamental approach to achieve sparse learning. Hard-thresholding gradient descent is a dominant technique to…

Machine Learning · Computer Science 2024-03-19 William de Vazelhes , Hualin Zhang , Huimin Wu , Xiao-Tong Yuan , Bin Gu

Molecule optimization is an important problem in chemical discovery and has been approached using many techniques, including generative modeling, reinforcement learning, genetic algorithms, and much more. Recent work has also applied…

Biomolecules · Quantitative Biology 2022-10-31 Elvin Lo , Pin-Yu Chen

Safe derivative-free optimization under unknown constraints is a fundamental challenge in modern learning and control. Existing zeroth-order (ZO) methods typically still assume access to a first-order oracle of the constraint functions or…

Optimization and Control · Mathematics 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

Fine-tuning large language models (LLMs) with backpropagation\textemdash even for a subset of parameters such as LoRA\textemdash can be much more memory-consuming than inference and is often deemed impractical for resource-constrained…

Machine Learning · Computer Science 2025-10-07 Congzheng Song , Xinyu Tang

We study the problem of training neural networks with quantized parameters. Learning low-precision quantized parameters by enabling computation of gradients via the Straight-Through Estimator (STE) can be challenging. While the STE enables…

Machine Learning · Computer Science 2025-10-29 Ningfeng Yang , Tor M. Aamodt

Forward-mode automatic differentiation (FmAD) and zero-order (ZO) optimization have been proposed as memory-efficient alternatives to backpropagation (BP) for gradient computation, especially in low-resource settings. However, their…

Machine Learning · Computer Science 2025-06-30 Kunjal Panchal , Sunav Choudhary , Yuriy Brun , Hui Guan

As Large Language Models (LLMs) grow dramatically in size, there is an increasing trend in compressing and speeding up these models. Previous studies have highlighted the usefulness of gradients for importance scoring in neural network…

Computation and Language · Computer Science 2024-07-17 Hongrong Cheng , Miao Zhang , Javen Qinfeng Shi

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…

Machine Learning · Computer Science 2026-03-16 Jie Ji , Gen Li , Kaiyuan Deng , Fatemeh Afghah , Xiaolong Ma

Recently, zeroth-order (ZO) optimization plays an essential role in scenarios where gradient information is inaccessible or unaffordable, such as black-box systems and resource-constrained environments. While existing adaptive methods such…

Machine Learning · Computer Science 2025-06-10 Yao Shu , Qixin Zhang , Kun He , Zhongxiang Dai

Large Language Models (LLMs) are currently pre-trained and fine-tuned on large cloud servers. The next frontier is LLM personalization, where a foundation model can be fine-tuned with user/task-specific data. Given the sensitive nature of…

Machine Learning · Computer Science 2025-09-23 Lei Gao , Amir Ziashahabi , Yue Niu , Salman Avestimehr , Murali Annavaram

Fine-tuning large language models (LLMs) remains resource-intensive due to their sheer scale. While zeroth-order (ZO) optimization provides a memory-efficient alternative by eliminating backward passes, its application to…

Machine Learning · Computer Science 2025-07-08 Liangyu Wang , Huanyi Xie , Di Wang

Mastering a skill generally relies on both hands-on experience from doers and insightful, high-level guidance by mentors. Will this strategy also work well for solving complex non-convex optimization problems? Here, a common gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Zixian Guo , Ming Liu , Zhilong Ji , Jinfeng Bai , Yiwen Guo , Wangmeng Zuo

Automatic prompt optimization is an important approach to improving the performance of large language models (LLMs). Recent research demonstrates the potential of using LLMs as prompt optimizers, which can generate improved task prompts via…

Computation and Language · Computer Science 2025-01-28 Xinyu Tang , Xiaolei Wang , Wayne Xin Zhao , Siyuan Lu , Yaliang Li , Ji-Rong Wen