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Many optimizers can be interpreted as steepest-descent methods under norm-induced geometries, and thus inherit corresponding implicit biases. We introduce \nameA{} (\fullname{}), which combines spectral control from orthogonalized update…

Machine Learning · Computer Science 2026-02-10 Zixiao Wang , Yifei Shen , Huishuai Zhang

Pre-training Large Language Models (LLMs) on web-scale datasets becomes fundamental for advancing general-purpose AI. In contrast, enhancing their predictive performance on downstream tasks typically involves adapting their knowledge…

Orthogonalized-momentum optimizers such as Muon improve transformer training by approximately whitening/orthogonalizing matrix-valued momentum updates via a short polar-decomposition iteration. However, polar-factor approximations typically…

Machine Learning · Computer Science 2026-03-19 Ben S. Southworth , Stephen Thomas

In order to streamline the fine-tuning of foundation models, Low-Rank Adapters (LoRAs) have been substantially adopted across various fields, including instruction tuning and domain adaptation. The underlying concept of LoRA involves…

Machine Learning · Computer Science 2025-02-25 Mengyang Sun , Yihao Wang , Tao Feng , Dan Zhang , Yifan Zhu , Jie Tang

Instruction Tuning has the potential to stimulate or enhance specific capabilities of large language models (LLMs). However, achieving the right balance of data is crucial to prevent catastrophic forgetting and interference between tasks.…

Computation and Language · Computer Science 2024-03-07 Wenfeng Feng , Chuzhan Hao , Yuewei Zhang , Yu Han , Hao Wang

Recent literature on fine-tuning Large Language Models highlights a fundamental debate. While Full Fine-Tuning (FFT) provides the representational plasticity required for high-entropy knowledge injection, Low-Rank Adaptation (LoRA) can…

Computation and Language · Computer Science 2026-05-19 Haozhan Tang , Xiuqi Zhu , Xinyin Zhang , Boxun Li , Virginia Smith , Kevin Kuo

Fine-tuning pretrained language models (PLMs) on downstream tasks has become common practice in natural language processing. However, most of the PLMs are vulnerable, e.g., they are brittle under adversarial attacks or imbalanced data,…

Computation and Language · Computer Science 2022-05-03 Shoujie Tong , Qingxiu Dong , Damai Dai , Yifan song , Tianyu Liu , Baobao Chang , Zhifang Sui

Muon, a recently proposed optimizer that leverages the inherent matrix structure of neural network parameters, has demonstrated strong empirical performance, indicating its potential as a successor to standard optimizers such as AdamW. This…

Machine Learning · Computer Science 2025-11-24 Naoki Sato , Hiroki Naganuma , Hideaki Iiduka

Fine-tuning text-to-image diffusion models is widely used for personalization and adaptation for new domains. In this paper, we identify a critical vulnerability of fine-tuning: safety alignment methods designed to filter harmful content…

Artificial Intelligence · Computer Science 2024-12-03 Sanghyun Kim , Moonseok Choi , Jinwoo Shin , Juho Lee

Large Language Models (LLMs) have the unique capability to understand and generate human-like text from input queries. When fine-tuned, these models show enhanced performance on domain-specific queries. OpenAI highlights the process of…

Computation and Language · Computer Science 2024-07-02 Scott Barnett , Zac Brannelly , Stefanus Kurniawan , Sheng Wong

Large vision models have been found vulnerable to adversarial examples, emphasizing the need for enhancing their adversarial robustness. While adversarial training is an effective defense for deep convolutional models, it often faces…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Kangtao Lv , Huangsen Cao , Kainan Tu , Yihuai Xu , Zhimeng Zhang , Xin Ding , Yongwei Wang

Recent empirical research has demonstrated that deep learning optimizers based on the linear minimization oracle (LMO) over specifically chosen Non-Euclidean norm balls, such as Muon and Scion, outperform Adam-type methods in the training…

Optimization and Control · Mathematics 2025-12-19 Xun Qian , Hussein Rammal , Dmitry Kovalev , Peter Richtárik

Muon has recently shown promising results in LLM training. In this work, we study how to further improve Muon. We argue that Muon's orthogonalized update rule suppresses the emergence of heavy-tailed weight spectra and over-emphasizes the…

Machine Learning · Computer Science 2026-05-25 Tianyu Pang , Yujie Fang , Zihang Liu , Shenyang Deng , Lei Hsiung , Shuhua Yu , Yaoqing Yang

Although the advancements of pre-trained Large Language Models have significantly accelerated recent progress in NLP, their ever-increasing size poses significant challenges for conventional fine-tuning, especially in memory-intensive…

Computation and Language · Computer Science 2024-04-02 Chenxi Whitehouse , Fantine Huot , Jasmijn Bastings , Mostafa Dehghani , Chu-Cheng Lin , Mirella Lapata

The ever-growing scale of deep learning models and training data underscores the critical importance of efficient optimization methods. While preconditioned gradient methods such as Adam and AdamW are the de facto optimizers for training…

Optimization and Control · Mathematics 2026-02-06 Tim Tsz-Kit Lau , Qi Long , Weijie Su

Instruction fine-tuning has conventionally been employed to adapt Large Language Models (LLMs) to a variety of tasks. Nonetheless, this technique often necessitates substantial computational resources, making it impractical for deployment…

Computation and Language · Computer Science 2024-10-08 Zhenting Qi , Xiaoyu Tan , Shaojie Shi , Chao Qu , Yinghui Xu , Yuan Qi

LoRA has gained widespread acceptance in the fine-tuning of large pre-trained models to cater to a diverse array of downstream tasks, showcasing notable effectiveness and efficiency, thereby solidifying its position as one of the most…

Computation and Language · Computer Science 2024-04-23 Xun Wu , Shaohan Huang , Furu Wei

Recommender systems (RecSys) are increasingly emphasizing scaling, leveraging larger architectures and more interaction data to improve personalization. Yet, despite the optimizer's pivotal role in training, modern RecSys pipelines almost…

Information Retrieval · Computer Science 2026-03-03 Rong Shan , Aofan Yu , Bo Chen , Kuo Cai , Qiang Luo , Ruiming Tang , Han Li , Weiwen Liu , Weinan Zhang , Jianghao Lin

Orthogonality-based optimizers, such as Muon, have recently shown strong performance across large-scale training and community-driven efficiency challenges. However, these methods rely on a costly gradient orthogonalization step. Even…

Artificial Intelligence · Computer Science 2025-12-05 Thibaut Boissin , Thomas Massena , Franck Mamalet , Mathieu Serrurier

Large language models (LLMs) possess vast knowledge acquired from extensive training corpora, but they often cannot remove specific pieces of information when needed, which makes it hard to handle privacy, bias mitigation, and knowledge…

Machine Learning · Computer Science 2025-12-09 Yezi Liu , Hanning Chen , Wenjun Huang , Yang Ni , Mohsen Imani