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Zeroth-order optimization, which does not use derivative information, is one of the significant research areas in the field of mathematical optimization and machine learning. Although various studies have explored zeroth-order algorithms,…

Optimization and Control · Mathematics 2024-07-16 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

The input method is an essential service on every mobile and desktop devices that provides text suggestions. It converts sequential keyboard inputs to the characters in its target language, which is indispensable for Japanese and Chinese…

Computation and Language · Computer Science 2018-10-23 Jiali Yao , Raphael Shu , Xinjian Li , Katsutoshi Ohtsuki , Hideki Nakayama

Reinforcement Learning (RL) algorithms for safety alignment of Large Language Models (LLMs), such as Direct Preference Optimization (DPO), encounter the challenge of distribution shift. Current approaches typically address this issue…

Computation and Language · Computer Science 2025-06-17 Qiyuan Deng , Xuefeng Bai , Kehai Chen , Yaowei Wang , Liqiang Nie , Min Zhang

Full fine-tuning of Large Language Models (LLMs) is notoriously memory-intensive, primarily because conventional optimizers such as SGD or Adam assume access to exact gradients derived from cached activations. Existing solutions either…

Machine Learning · Computer Science 2025-10-28 Jing Yang , Kaitong Cai , Yijia Fan , Yufeng Yang , Keze Wang

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

The advancements in large language models (LLMs) have brought significant progress in NLP tasks. However, if a task cannot be fully described in prompts, the models could fail to carry out the task. In this paper, we propose a simple yet…

Computation and Language · Computer Science 2025-06-10 Hwiyeol Jo , Hyunwoo Lee , Kang Min Yoo , Taiwoo Park

As the size of large language models grows exponentially, GPU memory has become a bottleneck for adapting these models to downstream tasks. In this paper, we aim to push the limits of memory-efficient training by minimizing memory usage on…

Machine Learning · Computer Science 2026-02-13 Sifeng Shang , Jiayi Zhou , Chenyu Lin , Minxian Li , Kaiyang Zhou

Model compression is essential for serving large deep neural nets on devices with limited resources or applications that require real-time responses. As a case study, a state-of-the-art neural language model usually consists of one or more…

Computation and Language · Computer Science 2018-06-20 Patrick H. Chen , Si Si , Yang Li , Ciprian Chelba , Cho-jui Hsieh

Autonomous tuning of particle accelerators is an active and challenging field of research with the goal of enabling novel accelerator technologies cutting-edge high-impact applications, such as physics discovery, cancer research and…

Computation and Language · Computer Science 2024-05-16 Jan Kaiser , Annika Eichler , Anne Lauscher

This paper studies a compressed momentum-based single-point zeroth-order algorithm for stochastic distributed nonconvex optimization, aiming to alleviate communication overhead and address the unavailability of explicit gradient…

Optimization and Control · Mathematics 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang

We consider the problem of optimizing a high-dimensional convex function using stochastic zeroth-order queries. Under sparsity assumptions on the gradients or function values, we present two algorithms: a successive component/feature…

Machine Learning · Statistics 2018-02-27 Yining Wang , Simon Du , Sivaraman Balakrishnan , Aarti Singh

The softmax representation of probabilities for categorical variables plays a prominent role in modern machine learning with numerous applications in areas such as large scale classification, neural language modeling and recommendation…

Machine Learning · Statistics 2016-11-01 Michalis K. Titsias

Recent advancements in pretraining have demonstrated that modern Large Language Models (LLMs) possess the capability to effectively learn arithmetic operations. However, despite acknowledging the significance of digit order in arithmetic…

Computation and Language · Computer Science 2024-03-12 Daniel Zhang-Li , Nianyi Lin , Jifan Yu , Zheyuan Zhang , Zijun Yao , Xiaokang Zhang , Lei Hou , Jing Zhang , Juanzi Li

As large language models (LLMs) continue to scale in size, the computational overhead has become a major bottleneck for task-specific fine-tuning. While low-rank adaptation (LoRA) effectively curtails this cost by confining the weight…

Machine Learning · Computer Science 2026-05-15 Yilang Zhang , Xiaodong Yang , Yiwei Cai , Georgios B. Giannakis

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…

Machine Learning · Computer Science 2025-02-03 Yan Sun , Tiansheng Huang , Liang Ding , Li Shen , Dacheng Tao

Recent advancements in Transformer-based large language models (LLMs) have set new standards in natural language processing. However, the classical softmax attention incurs significant computational costs, leading to a $O(T)$ complexity for…

Computation and Language · Computer Science 2025-05-20 Zhihao He , Hang Yu , Zi Gong , Shizhan Liu , Jianguo Li , Weiyao Lin

Low-rank approximation techniques have become the de facto standard for fine-tuning Large Language Models (LLMs) due to their reduced computational and memory requirements. This paper investigates the effectiveness of these methods in…

Machine Learning · Computer Science 2024-05-30 Saswat Das , Marco Romanelli , Cuong Tran , Zarreen Reza , Bhavya Kailkhura , Ferdinando Fioretto

Large Language Models (LLMs) have demonstrated remarkable performance across diverse tasks and exhibited impressive reasoning abilities by applying zero-shot Chain-of-Thought (CoT) prompting. However, due to the evolving nature of sentence…

Computation and Language · Computer Science 2024-02-09 Feihu Jin , Yifan Liu , Ying Tan

Zeroth-order (ZO) optimization with ordinal feedback has emerged as a fundamental problem in modern machine learning systems, particularly in human-in-the-loop settings such as reinforcement learning from human feedback, preference…

Optimization and Control · Mathematics 2025-12-23 Haishan Ye

Zeroth-Order optimization presents a promising memory-efficient paradigm for fine-tuning Large Language Models by relying solely on forward passes. However, its practical adoption is severely constrained by slow wall-clock convergence and…

Machine Learning · Computer Science 2026-04-21 Fei Wang , Li Shen , Liang Ding , Chao Xue , Ye Liu , Changxing Ding
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