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Reinforcement learning (RL) has made significant advancements, achieving superhuman performance in various tasks. However, RL agents often operate under the assumption of environmental stationarity, which poses a great challenge to learning…

Machine Learning · Computer Science 2025-11-18 Guoqing Ma , Yuhan Zhang , Yuming Dai , Guangfu Hao , Yang Chen , Shan Yu

In this paper, we present Delta-LoRA, which is a novel parameter-efficient approach to fine-tune large language models (LLMs). In contrast to LoRA and other low-rank adaptation methods such as AdaLoRA, Delta-LoRA not only updates the…

Machine Learning · Computer Science 2023-09-06 Bojia Zi , Xianbiao Qi , Lingzhi Wang , Jianan Wang , Kam-Fai Wong , Lei Zhang

The recently introduced optimizer, Muon, has gained increasing attention due to its superior performance across a wide range of applications. However, its effectiveness in federated learning remains unexplored. To address this gap, this…

Machine Learning · Computer Science 2025-10-07 Xinwen Zhang , Hongchang Gao

Optimization with matrix gradient orthogonalization has recently demonstrated impressive results in the training of deep neural networks (Jordan et al., 2024; Liu et al., 2025). In this paper, we provide a theoretical analysis of this…

Machine Learning · Computer Science 2025-04-09 Dmitry Kovalev

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

Accelerating DNN execution on various resource-limited computing platforms has been a long-standing problem. Prior works utilize l1-based group lasso or dynamic regularization such as ADMM to perform structured pruning on DNN models to…

Machine Learning · Computer Science 2020-02-25 Xiaolong Ma , Zhengang Li , Yifan Gong , Tianyun Zhang , Wei Niu , Zheng Zhan , Pu Zhao , Jian Tang , Xue Lin , Bin Ren , Yanzhi Wang

As deep neural networks (DNNs) grow in complexity and size, the resultant increase in communication overhead during distributed training has become a significant bottleneck, challenging the scalability of distributed training systems.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-13 Haoyu Li , Yuchen Xu , Jiayi Chen , Rohit Dwivedula , Wenfei Wu , Keqiang He , Aditya Akella , Daehyeok Kim

In this paper, we introduce a model for analyzing deep learning optimization over a single iteration by leveraging the matrix structure of the weights. We derive the model by assuming isotropy of curvature, including the second-order…

Optimization and Control · Mathematics 2025-11-04 Weijie Su

In this paper, we propose a generalization of the Batch Normalization (BN) algorithm, diminishing batch normalization (DBN), where we update the BN parameters in a diminishing moving average way. BN is very effective in accelerating the…

Machine Learning · Computer Science 2019-02-20 Yintai Ma , Diego Klabjan

Large language models (LLMs) acquire knowledge during pre-training, but over time, this knowledge may become incorrect or outdated, necessitating updates after training. Knowledge editing techniques address this issue without the need for…

Computation and Language · Computer Science 2024-10-16 Yuchen Cai , Ding Cao

Muon has emerged as an efficient alternative to Adam for pretraining, yet remains underused for fine-tuning. A key obstacle is that most open models are pretrained with Adam, and naively switching to Muon for fine-tuning leads to degraded…

Machine Learning · Computer Science 2026-05-12 Xingyu Qu , Peigeng Huang , Samuel Horvath

This paper studies the shallow Ritz method for solving the one-dimensional diffusion problem. It is shown that the shallow Ritz method improves the order of approximation dramatically for non-smooth problems. To realize this optimal or…

Numerical Analysis · Mathematics 2025-11-25 Zhiqiang Cai , Anastassia Doktorova , Robert D. Falgout , César Herrera

Recent developments have shown that Muon-type optimizers based on linear minimization oracles (LMOs) over non-Euclidean norm balls have the potential to get superior practical performance than Adam-type methods in the training of large…

Machine Learning · Computer Science 2026-04-14 Xun Qian , Alexander Gaponov , Grigory Malinovsky , Peter Richtárik

Muon is a matrix-aware optimizer that leverages Newton-Schulz (NS) iterations to enforce spectral gradient orthogonalization by driving all singular values of the momentum matrix toward 1. While this uniform spectral whitening enhances…

Machine Learning · Computer Science 2026-05-20 Chongyu Fan , Gaowen Liu , Mingyi Hong , Ramana Rao Kompella , Sijia Liu

Low-rank adaptation is a popular parameter-efficient fine-tuning method for large language models. In this paper, we analyze the impact of low-rank updating, as implemented in LoRA. Our findings suggest that the low-rank updating mechanism…

Computation and Language · Computer Science 2024-05-21 Ting Jiang , Shaohan Huang , Shengyue Luo , Zihan Zhang , Haizhen Huang , Furu Wei , Weiwei Deng , Feng Sun , Qi Zhang , Deqing Wang , Fuzhen Zhuang

Training data mixtures greatly impact the generalization performance of large language models. Existing domain reweighting methods often rely on costly weight computations and require retraining when new data is introduced. To this end, we…

Machine Learning · Computer Science 2025-06-02 Wanyun Xie , Francesco Tonin , Volkan Cevher

Post-training compression of Transformer models commonly relies on truncated singular value decomposition (SVD). However, enforcing a single shared subspace can degrade accuracy even at moderate compression. Sparse dictionary learning…

Machine Learning · Computer Science 2026-02-18 Denis Makhov , Dmitriy Shopkhoev , Magauiya Zhussip , Ammar Ali , Baher Mohammad , Stamatios Lefkimmiatis

Parameter-efficient fine-tuning (PEFT) methods, such as LoRA, offer compact and effective alternatives to full model fine-tuning by introducing low-rank updates to pre-trained weights. However, most existing approaches rely on global low…

Machine Learning · Computer Science 2025-09-25 Babak Barazandeh , Subhabrata Majumdar , Om Rajyaguru , George Michailidis

All-optical and fully reconfigurable diffractive optical neural network (DONN) architectures are promising for high-throughput and energy-efficient machine learning (ML) hardware accelerators for broad applications. However, current device…

Optics · Physics 2024-08-05 Ruiyang Chen , Cunxi Yu , Weilu Gao

The advent of large language models (LLMs) has revolutionized natural language processing, enabling unprecedented capabilities in understanding and generating human-like text. However, the computational cost and convergence times associated…

Computation and Language · Computer Science 2024-11-26 Kerim Büyükakyüz