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In the paper, we propose a class of accelerated zeroth-order and first-order momentum methods for both nonconvex mini-optimization and minimax-optimization. Specifically, we propose a new accelerated zeroth-order momentum (Acc-ZOM) method…

Optimization and Control · Mathematics 2022-01-19 Feihu Huang , Shangqian Gao , Jian Pei , Heng Huang

The increasing computational and memory demands in deep learning present significant challenges, especially in resource-constrained environments. We introduce a zero-order quantized optimization (ZOQO) method designed for training models…

Machine Learning · Computer Science 2025-01-14 Noga Bar , Raja Giryes

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…

Optimization and Control · Mathematics 2024-10-04 Bin Gu , Xiyuan Wei , Hualin Zhang , Yi Chang , Heng Huang

Traditional approaches for designing analog circuits are time-consuming and require significant human expertise. Existing automation efforts using methods like Bayesian Optimization (BO) and Reinforcement Learning (RL) are sub-optimal and…

Machine Learning · Computer Science 2025-06-06 Dimple Vijay Kochar , Hanrui Wang , Anantha Chandrakasan , Xin Zhang

Adaptive optimizers such as Adam (Kingma & Ba, 2015) have been central to the success of large language models. However, they often require to maintain optimizer states throughout training, which can result in memory requirements several…

Machine Learning · Computer Science 2025-02-24 Chao Ma , Wenbo Gong , Meyer Scetbon , Edward Meeds

Using Large Language Models (LLMs) in real-world applications presents significant challenges, particularly in balancing computational efficiency with model performance. Optimizing acceleration after fine-tuning and during inference is…

Computation and Language · Computer Science 2025-09-09 Sajjad Kachuee , Mohammad Sharifkhani

This work presents BAdam, an optimization method that leverages the block coordinate descent (BCD) framework with Adam's update rule. BAdam offers a memory efficient approach to the full parameter finetuning of large language models. We…

Machine Learning · Computer Science 2024-11-18 Qijun Luo , Hengxu Yu , Xiao Li

Zeroth-order optimization (ZO) has been a powerful framework for solving black-box problems, which estimates gradients using zeroth-order data to update variables iteratively. The practical applicability of ZO critically depends on the…

Optimization and Control · Mathematics 2026-03-03 Ruiyang Jin , Yuke Zhou , Yujie Tang , Jie Song , Siyang Gao

Supervised Fine-Tuning (SFT) Large Language Models (LLM) fundamentally rely on high-quality training data. While data selection and data synthesis are two common strategies to improve data quality, existing approaches often face limitations…

Computation and Language · Computer Science 2025-10-23 Zinan Tang , Xin Gao , Qizhi Pei , Zhuoshi Pan , Mengzhang Cai , Jiang Wu , Conghui He , Lijun Wu

Scalable training of large models (like BERT and GPT-3) requires careful optimization rooted in model design, architecture, and system capabilities. From a system standpoint, communication has become a major bottleneck, especially on…

Machine Learning · Computer Science 2021-07-01 Hanlin Tang , Shaoduo Gan , Ammar Ahmad Awan , Samyam Rajbhandari , Conglong Li , Xiangru Lian , Ji Liu , Ce Zhang , Yuxiong He

Finetuning large language models (LLMs) has been empirically effective on a variety of downstream tasks. Existing approaches to finetuning an LLM either focus on parameter-efficient finetuning, which only updates a small number of trainable…

Machine Learning · Computer Science 2024-01-17 Zhengxin Zhang , Dan Zhao , Xupeng Miao , Gabriele Oliaro , Qing Li , Yong Jiang , Zhihao Jia

The rapid scaling of models has led to prohibitively high training and fine-tuning costs. A major factor accounting for memory consumption is the widespread use of stateful optimizers (e.g., Adam), which maintain auxiliary information of…

Machine Learning · Computer Science 2025-06-10 Cong Xu , Wenbin Liang , Mo Yu , Anan Liu , Ke-Yue Zhang , Shunli Wang , Lizhuang Ma , Jianyong Wang , Jun Wang , Wei Zhang

Federated optimization, an emerging paradigm which finds wide real-world applications such as federated learning, enables multiple clients (e.g., edge devices) to collaboratively optimize a global function. The clients do not share their…

Machine Learning · Computer Science 2023-08-09 Yao Shu , Xiaoqiang Lin , Zhongxiang Dai , Bryan Kian Hsiang Low

The choice of optimizer significantly impacts the training efficiency and computational costs of large language models (LLMs). Recently, the Muon optimizer has demonstrated promising results by orthogonalizing parameter updates, improving…

Machine Learning · Computer Science 2025-10-08 Zichong Li , Liming Liu , Chen Liang , Weizhu Chen , Tuo Zhao

SGD and AdamW are the two most used optimizers for fine-tuning large neural networks in computer vision. When the two methods perform the same, SGD is preferable because it uses less memory (12 bytes/parameter with momentum and 8…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Ananya Kumar , Ruoqi Shen , Sebastien Bubeck , Suriya Gunasekar

Training large language models (LLMs) encounters challenges in GPU memory consumption due to the high memory requirements of model states. The widely used Zero Redundancy Optimizer (ZeRO) addresses this issue through strategic sharding but…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-14 Qiaoling Chen , Qinghao Hu , Guoteng Wang , Yingtong Xiong , Ting Huang , Xun Chen , Yang Gao , Hang Yan , Yonggang Wen , Tianwei Zhang , Peng Sun

Federated fine-tuning (FFT) of large language models (LLMs) has recently emerged as a promising solution to enable domain-specific adaptation while preserving data privacy. Despite its benefits, FFT on resource-constrained clients relies on…

Machine Learning · Computer Science 2025-08-19 Manning Zhu , Songtao Guo , Pengzhan Zhou , Yansong Ning , Chang Han , Dewen Qiao

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

With the increase in the number of parameters in large language models, the process of pre-training and fine-tuning increasingly demands larger volumes of GPU memory. A significant portion of this memory is typically consumed by the…

Machine Learning · Computer Science 2025-08-15 Philip Zmushko , Aleksandr Beznosikov , Martin Takáč , Samuel Horváth

While large language models (LLMs) have emerged as a significant advancement in artificial intelligence, the hardware and computational costs for training LLMs are also significantly burdensome. Among the state-of-the-art optimizers, AdamW…

Machine Learning · Computer Science 2026-02-02 Yufei Gu , Zeke Xie
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