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Low-rank training has emerged as a promising approach for reducing memory usage in training Large Language Models (LLMs). Previous methods either rely on decomposing weight matrices (e.g., LoRA), or seek to decompose gradient matrices…

Machine Learning · Computer Science 2025-11-18 Xi Chen , Kaituo Feng , Changsheng Li , Xunhao Lai , Xiangyu Yue , Ye Yuan , Guoren Wang

Multimodal Large Language Model (MLLM) have demonstrated strong generalization capabilities across diverse distributions and tasks, largely due to extensive pre-training datasets. Fine-tuning MLLM has become a common practice to improve…

Computation and Language · Computer Science 2024-11-19 Wenke Huang , Jian Liang , Zekun Shi , Didi Zhu , Guancheng Wan , He Li , Bo Du , Dacheng Tao , Mang Ye

The substantial memory demands of pre-training and fine-tuning large language models (LLMs) require memory-efficient optimization algorithms. One promising approach is layer-wise optimization, which treats each transformer block as a single…

Machine Learning · Computer Science 2026-01-15 Yuxi Liu , Renjia Deng , Yutong He , Xue Wang , Tao Yao , Kun Yuan

The massive scaling of Large Language Models (LLMs) has made pretraining increasingly cost-prohibitive. While low-rank representation and orthonormal weight matrices could in principle reduce parameter counts and computational overhead,…

Machine Learning · Computer Science 2026-05-28 Kaivan Kamali , Kajetan Schweighofer , Hormoz Shahrzad , Olivier Francon , Babak Hodjat , Risto Miikkulainen

Recent advancements in large language models (LLMs) have enabled their successful application to a broad range of tasks. However, in information-intensive tasks, the prompt length can grow fast, leading to increased computational…

Computation and Language · Computer Science 2025-10-13 Weronika Łajewska , Momchil Hardalov , Laura Aina , Neha Anna John , Hang Su , Lluís Màrquez

Stochastic gradient descent samples uniformly the training set to build an unbiased gradient estimate with a limited number of samples. However, at a given step of the training process, some data are more helpful than others to continue…

Machine Learning · Computer Science 2023-03-30 Thibault Lahire

Low-rankness plays an important role in traditional machine learning, but is not so popular in deep learning. Most previous low-rank network compression methods compress networks by approximating pre-trained models and re-training. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Kailing Guo , Zhenquan Lin , Canyang Chen , Xiaofen Xing , Fang Liu , Xiangmin Xu

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Text representation plays a critical role in tasks like clustering, retrieval, and other downstream applications. With the emergence of large language models (LLMs), there is increasing interest in harnessing their capabilities for this…

Computation and Language · Computer Science 2025-12-25 Yeqin Zhang , Yizheng Zhao , Chen Hu , Binxing Jiao , Daxin Jiang , Ruihang Miao , Cam-Tu Nguyen

Low-rank approximation is a fundamental technique in modern data analysis, widely utilized across various fields such as signal processing, machine learning, and natural language processing. Despite its ubiquity, the mechanics of low-rank…

Machine Learning · Computer Science 2024-08-13 Jun Lu

Training large language models (LLMs) is constrained by memory requirements, with activations accounting for a substantial fraction of the total footprint. Existing approaches reduce memory using low-rank weight parameterizations or…

Machine Learning · Computer Science 2026-04-13 Sakshi Choudhary , Utkarsh Saxena , Kaushik Roy

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

Large pretrained multilingual language models (ML-LMs) have shown remarkable capabilities of zero-shot cross-lingual transfer, without direct cross-lingual supervision. While these results are promising, follow-up works found that, within…

Computation and Language · Computer Science 2024-01-12 Zhihui Xie , Handong Zhao , Tong Yu , Shuai Li

Modern optimizers like Adam and Muon are central to training large language models, but their reliance on first- and second-order momenta introduces significant memory overhead, which constrains scalability and computational efficiency. In…

Machine Learning · Computer Science 2026-03-02 Zhengbo Wang , Jian Liang , Ran He , Zilei Wang , Tieniu Tan

Large language model (LLM) unlearning aims to surgically remove the influence of undesired data or knowledge from an existing model while preserving its utility on unrelated tasks. This paradigm has shown promise in addressing privacy and…

Machine Learning · Computer Science 2026-04-21 Yicheng Lang , Yihua Zhang , Chongyu Fan , Changsheng Wang , Jinghan Jia , Sijia Liu

The rapid expansion of Large Language Models (LLMs) has posed significant challenges regarding the computational resources required for fine-tuning and deployment. Recent advancements in low-rank adapters have demonstrated their efficacy in…

Machine Learning · Computer Science 2025-01-29 J. Pablo Muñoz , Jinjie Yuan , Nilesh Jain

Pruning provides a practical solution to reduce the resources required to run large language models (LLMs) to benefit from their effective capabilities as well as control their cost for training and inference. Research on LLM pruning often…

Computation and Language · Computer Science 2025-10-28 Yuanhe Tian , Junjie Liu , Xican Yang , Haishan Ye , Yan Song

Black-box prompt tuning employs derivative-free optimization algorithms to learn prompts within low-dimensional subspaces rather than back-propagating through the network of Large Language Models (LLMs). Recent studies reveal that black-box…

Computation and Language · Computer Science 2024-06-18 Yuanhang Zheng , Zhixing Tan , Peng Li , Yang Liu

Large Language Models (LLMs) have long held sway in the realms of artificial intelligence research. Numerous efficient techniques, including weight pruning, quantization, and distillation, have been embraced to compress LLMs, targeting…

Artificial Intelligence · Computer Science 2024-11-01 Xuan Shen , Pu Zhao , Yifan Gong , Zhenglun Kong , Zheng Zhan , Yushu Wu , Ming Lin , Chao Wu , Xue Lin , Yanzhi Wang

Large Language Models (LLMs) demonstrate exceptional reasoning abilities, enabling strong generalization across diverse tasks such as commonsense reasoning and instruction following. However, as LLMs scale, inference costs become…

Computation and Language · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Benedikt Staffler , Frank Hutter , Aaron Klein