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Matrix-based preconditioned optimizers, such as Muon, have recently been shown to be more efficient than scalar-based optimizers for training large-scale neural networks, including large language models (LLMs). Recent benchmark studies of…

Machine Learning · Computer Science 2026-02-02 Yifeng Liu , Angela Yuan , Quanquan Gu

Benefiting from massive corpora and advanced hardware, large language models (LLMs) exhibit remarkable capabilities in language understanding and generation. However, their performance degrades in scenarios where multiple tasks are…

Computation and Language · Computer Science 2023-10-24 Xiao Wang , Tianze Chen , Qiming Ge , Han Xia , Rong Bao , Rui Zheng , Qi Zhang , Tao Gui , Xuanjing Huang

Large language models (LLMs) have revolutionized lots of fields of research. Although it is well-known that fine-tuning is essential for enhancing the capabilities of LLMs, existing research suggests that there is potential redundancy in…

Artificial Intelligence · Computer Science 2025-02-14 Haoling Li , Xin Zhang , Xiao Liu , Yeyun Gong , Yifan Wang , Qi Chen , Peng Cheng

The development of artificial intelligence (AI) for science has led to the emergence of learning-based research paradigms, necessitating a compelling reevaluation of the design of multi-objective optimization (MOO) methods. The new…

Machine Learning · Computer Science 2023-11-02 Linxi Yang , Xinmin Yang , Liping Tang

Modern deep learning commonly relies on AdamW with prescribed learning rate schedules, but recent works challenge both components: Schedule-Free optimization removes explicit schedules via iterate averaging, and Muon improves the update…

Machine Learning · Computer Science 2026-05-22 Jueun Kim , Baekrok Shin , Jihun Yun , Beomhan Baek , Minhak Song , Chulhee Yun

While large language models have demonstrated impressive performance across various domains and tasks, their security issues have become increasingly severe. Machine unlearning has emerged as a representative approach for model safety and…

Machine Learning · Computer Science 2025-03-04 Chongyang Gao , Lixu Wang , Kaize Ding , Chenkai Weng , Xiao Wang , Qi Zhu

The optimization of large language models (LLMs) remains a critical challenge, particularly as model scaling exacerbates sensitivity to algorithmic imprecision and training instability. Recent advances in optimizers have improved…

Machine Learning · Computer Science 2025-11-26 Wei He , Kai Han , Hang Zhou , Hanting Chen , Zhicheng Liu , Xinghao Chen , Yunhe Wang

Fine-Grained Object Detection (FGOD) is a critical task in high-resolution aerial image analysis. This letter introduces Orthogonal Mapping (OM), a simple yet effective method aimed at addressing the challenge of semantic confusion inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Haoran Zhu , Yifan Zhou , Chang Xu , Ruixiang Zhang , Wen Yang

The use of momentum in stochastic optimization algorithms has shown empirical success across a range of machine learning tasks. Recently, a new class of stochastic momentum algorithms has emerged within the Linear Minimization Oracle (LMO)…

Optimization and Control · Mathematics 2025-12-16 Sarit Khirirat , Abdurakhmon Sadiev , Yury Demidovich , Peter Richtárik

Multimodal Large Language Models (MLLMs) have played an increasingly important role in multimodal intelligence. However, the existing fine-tuning methods often ignore cross-modal heterogeneity, limiting their full potential. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Ruishu Zhu , Sida Huang , Ziheng Jiao , Hongyuan Zhang

We introduce Post-Optimization Model Edit (POME), a new algorithm that enhances the performance of fine-tuned large language models using only their pretrained and fine-tuned checkpoints, without requiring extra data or further…

Machine Learning · Computer Science 2025-10-09 Yong Liu , Di Fu , Yang Luo , Zirui Zhu , Minhao Cheng , Cho-Jui Hsieh , Yang You

Muon is a recently proposed optimizer that enforces orthogonality in parameter updates by projecting gradients onto the Stiefel manifold, leading to stable and efficient training in large-scale deep neural networks. Meanwhile, the…

Machine Learning · Computer Science 2026-03-18 Hideaki Iiduka

A striking geometric disparity has long persisted in the practice of deep learning. While modern neural network architectures naturally exhibit rich symmetry and equivariance properties, popular optimizers such as Adam and its variants…

Optimization and Control · Mathematics 2026-05-27 Tim Tsz-Kit Lau , Weijie Su

Large language models (LLMs) have demonstrated impressive generalization and emergent capabilities, yet their pre-training remains computationally expensive and sensitive to optimization dynamics. While Adam-based optimizers offer fast…

Machine Learning · Computer Science 2025-10-01 Junjie Wang , Pan Zhou , Yiming Dong , Huan Li , Jia Li , Xun Zhou , Qicheng Lao , Cong Fang , Zhouchen Lin

Multi-objective optimization (MOO) has become an influential framework in many machine learning problems with multiple objectives such as learning with multiple criteria and multi-task learning (MTL). In this paper, we propose a new…

Machine Learning · Computer Science 2023-11-30 Peiyao Xiao , Hao Ban , Kaiyi Ji

Continual learning aims to enable neural networks to acquire new knowledge on sequential tasks. However, the key challenge in such settings is to learn new tasks without catastrophically forgetting previously learned tasks. We propose the…

Machine Learning · Computer Science 2026-01-27 Ishir Garg , Neel Kolhe , Andy Peng , Rohan Gopalam

In this paper, an orthogonal stochastic gradient descent (O-SGD) based learning approach is proposed to tackle the wireless channel over-training problem inherent in artificial neural network (ANN)-assisted MIMO signal detection. Our basic…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Songyan Xue , Yi Ma , Rahim Tafazolli

Spectral gradient methods, such as the Muon optimizer, modify gradient updates by preserving directional information while discarding scale, and have shown strong empirical performance in deep learning. We investigate the mechanisms…

Machine Learning · Statistics 2026-02-02 Guillaume Braun , Han Bao , Wei Huang , Masaaki Imaizumi

Retrieval systems rely on representations learned by increasingly powerful models. However, due to the high training cost and inconsistencies in learned representations, there is significant interest in facilitating communication between…

Machine Learning · Computer Science 2026-05-20 Simone Ricci , Niccolò Biondi , Federico Pernici , Ioannis Patras , Alberto Del Bimbo

Fine-tuning large language models (LLMs) has achieved remarkable success across various NLP tasks, but the substantial memory overhead during backpropagation remains a critical bottleneck, especially as model scales grow. Zeroth-order (ZO)…

Computation and Language · Computer Science 2026-01-09 Feihu Jin , Shipeng Cen , Ying Tan
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