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This report examines the fine-tuning of Large Language Models (LLMs), integrating theoretical insights with practical applications. It outlines the historical evolution of LLMs from traditional Natural Language Processing (NLP) models to…

Machine Learning · Computer Science 2024-10-31 Venkatesh Balavadhani Parthasarathy , Ahtsham Zafar , Aafaq Khan , Arsalan Shahid

Large Language Models (LLMs) have revolutionized artificial intelligence with capabilities in reasoning, coding, and communication, driving innovation across industries. Their true potential depends on effective alignment to ensure correct,…

Computation and Language · Computer Science 2025-07-25 Bowen Jin , Jinsung Yoon , Zhen Qin , Ziqi Wang , Wei Xiong , Yu Meng , Jiawei Han , Sercan O. Arik

In this work we address the problem of convex optimization in a multi-agent setting where the objective is to minimize the mean of local cost functions whose derivatives are not available (e.g. black-box models). Moreover agents can only…

Optimization and Control · Mathematics 2023-06-14 Alessio Maritan , Luca Schenato

Fine-tuning language models (LMs) with the Adam optimizer often demands excessive memory, limiting accessibility. The "in-place" version of Stochastic Gradient Descent (IP-SGD) and Memory-Efficient Zeroth-order Optimizer (MeZO) have been…

Machine Learning · Computer Science 2024-10-10 Zeman Li , Xinwei Zhang , Peilin Zhong , Yuan Deng , Meisam Razaviyayn , Vahab Mirrokni

Low-Rank Adaptation (LoRA) is a crucial method for efficiently fine-tuning large language models (LLMs), with its effectiveness influenced by two key factors: rank selection and weight initialization. While numerous LoRA variants have been…

Machine Learning · Computer Science 2025-10-27 Haonan He , Peng Ye , Yuchen Ren , Yuan Yuan , Luyang Zhou , Shucun Ju , Lei Chen

Recent research explores optimization using large language models (LLMs) by either iteratively seeking next-step solutions from LLMs or directly prompting LLMs for an optimizer. However, these approaches exhibit inherent limitations,…

Optimization and Control · Mathematics 2024-03-06 Zeyuan Ma , Hongshu Guo , Jiacheng Chen , Guojun Peng , Zhiguang Cao , Yining Ma , Yue-Jiao Gong

We propose Neural Gradient Learning (NGL), a deep learning approach to learn gradient vectors with consistent orientation from 3D point clouds for normal estimation. It has excellent gradient approximation properties for the underlying…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Qing Li , Huifang Feng , Kanle Shi , Yi Fang , Yu-Shen Liu , Zhizhong Han

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 small subset of parameters. However, both approaches have…

Artificial Intelligence · Computer Science 2026-04-14 Shaocong Ma , Peiran Yu , Heng Huang

In this study, we delve into an emerging optimization challenge involving a black-box objective function that can only be gauged via a ranking oracle-a situation frequently encountered in real-world scenarios, especially when the function…

Machine Learning · Computer Science 2024-04-16 Zhiwei Tang , Dmitry Rybin , Tsung-Hui Chang

In this letter, we first propose a \underline{Z}eroth-\underline{O}rder c\underline{O}ordinate \underline{M}ethod~(ZOOM) to solve the stochastic optimization problem over a decentralized network with only zeroth-order~(ZO) oracle feedback…

Optimization and Control · Mathematics 2022-10-11 Shengjun Zhang , Tan Shen , Hongwei Sun , Yunlong Dong , Dong Xie , Heng Zhang

Recognizing the substantial computational cost of backpropagation (BP), non-BP methods have emerged as attractive alternatives for efficient learning on emerging neuromorphic systems. However, existing non-BP approaches still face critical…

Machine Learning · Computer Science 2026-02-27 Guoqing Ma , Shan Yu

Recent optimizers such as Lion and Muon have demonstrated strong empirical performance by normalizing gradient momentum via linear minimization oracles (LMOs). While variance reduction has been explored to accelerate LMO-based methods, it…

Machine Learning · Computer Science 2026-05-08 Won-Jun Jang , Si-Hyeon Lee

Large language models (LLMs) have shown remarkable instruction-following capabilities and achieved impressive performances in various applications. However, the performances of LLMs depend heavily on the instructions given to them, which…

Machine Learning · Computer Science 2024-06-25 Xiaoqiang Lin , Zhaoxuan Wu , Zhongxiang Dai , Wenyang Hu , Yao Shu , See-Kiong Ng , Patrick Jaillet , Bryan Kian Hsiang Low

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…

Optimization and Control · Mathematics 2022-06-20 Xin Chen , Yujie Tang , Na Li

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

Zeroth-order (ZO) methods are widely used when gradients are unavailable or prohibitively expensive, including black-box learning and memory-efficient fine-tuning of large models, yet their optimization dynamics in deep learning remain…

Machine Learning · Computer Science 2026-04-17 Minhak Song , Liang Zhang , Bingcong Li , Niao He , Michael Muehlebach , Sewoong Oh

Fine-tuning Large Language Models (LLMs) is now a common approach for text classification in a wide range of applications. When labeled documents are scarce, active learning helps save annotation efforts but requires retraining of massive…

Machine Learning · Computer Science 2024-02-27 Artem Vysogorets , Achintya Gopal

LLM post-training typically propagates task gradients through the full depth of the model. Although this end-to-end structure is simple and general, it couples task adaptation to full-depth activation storage, long-range backward…

Computation and Language · Computer Science 2026-05-11 Hengyu Shi , Tianyang Han , Peizhe Wang , Zhiling Wang , Xu Yang , Junhao Su

Prompt engineering, as an efficient and effective way to leverage Large Language Models (LLM), has drawn a lot of attention from the research community. The existing research primarily emphasizes the importance of adapting prompts to…

Computation and Language · Computer Science 2024-07-08 Yuyan Chen , Zhihao Wen , Ge Fan , Zhengyu Chen , Wei Wu , Dayiheng Liu , Zhixu Li , Bang Liu , Yanghua Xiao

Large Language Models (LLMs) are known for their expensive and time-consuming training. Thus, oftentimes, LLMs are fine-tuned to address a specific task, given the pretrained weights of a pre-trained LLM considered a foundation model. In…

Computation and Language · Computer Science 2025-12-05 Eshed Gal , Moshe Eliasof , Javier Turek , Uri Ascher , Eran Treister , Eldad Haber