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The paper focuses on a classical tracking model, subspace learning, grounded on the fact that the targets in successive frames are considered to reside in a low-dimensional subspace or manifold due to the similarity in their appearances. In…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Yao Sui , Guanghui Wang , Li 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

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

This paper introduces an online approach for identifying time-varying subspaces defined by linear dynamical systems. The approach of representing linear systems by non-parametric subspace models has received significant interest in the…

Systems and Control · Electrical Eng. & Systems 2025-12-01 András Sasfi , Alberto Padoan , Ivan Markovsky , Florian Dörfler

The rapid growth of large language models (LLMs) with traditional centralized fine-tuning emerges as a key technique for adapting these models to domain-specific challenges, yielding privacy risks for both model and data owners. One…

Computation and Language · Computer Science 2025-07-08 Kai Yao , Zhaorui Tan , Penglei Gao , Lichun Li , Kaixin Wu , Yinggui Wang , Yuan Zhao , Yixin Ji , Wei Wang , Jianke Zhu

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

We introduce two complementary techniques for efficient optimization that reduce memory requirements while accelerating training of large-scale neural networks. The first technique, Subset-Norm step size, generalizes AdaGrad-Norm and…

Machine Learning · Computer Science 2025-05-27 Thien Hang Nguyen , Huy Le Nguyen

Large Language Models (LLMs) have demonstrated strong capabilities in various natural language processing tasks; however, their application to graph-related problems remains limited, primarily due to scalability constraints and the absence…

Machine Learning · Computer Science 2025-05-08 Hyun Lee , Chris Yi , Maminur Islam , B. D. S. Aritra

Recently, a wide range of memory-efficient LLM training algorithms have gained substantial popularity. These methods leverage the low-rank structure of gradients to project optimizer states into a subspace using projection matrix found by…

Machine Learning · Computer Science 2024-08-26 Kaizhao Liang , Bo Liu , Lizhang Chen , Qiang Liu

Deep learning typically relies on end-to-end backpropagation for training, a method that inherently suffers from issues such as update locking during parameter optimization, high GPU memory consumption, and a lack of biological…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Junhao Su , Feiyu Zhu , Hengyu Shi , Tianyang Han , Yurui Qiu , Junfeng Luo , Xiaoming Wei , Jialin Gao

Low-rank optimization has emerged as a promising direction in training large language models (LLMs) to improve running time and reduce the memory usage of adaptive optimizers by constraining learning to a lower-dimensional space. Prior work…

Machine Learning · Computer Science 2025-10-09 Ionut-Vlad Modoranu , Mher Safaryan , Erik Schultheis , Max Ryabinin , Artem Chumachenko , Dan Alistarh

Large Language Models (LLMs) and Retrieval-Augmented Generation (RAG) systems are increasingly deployed in industry applications, yet their reliability remains hampered by challenges in detecting hallucinations. While supervised…

Computation and Language · Computer Science 2025-05-30 Julia Belikova , Konstantin Polev , Rauf Parchiev , Dmitry Simakov

Large Language Models (LLMs) possess encompassing capabilities that can process diverse language-related tasks. However, finetuning on LLMs will diminish this general skills and continual finetuning will further cause severe degradation on…

Machine Learning · Computer Science 2025-07-09 Kai Tong , Kang Pan , Xiao Zhang , Erli Meng , Run He , Yawen Cui , Nuoyan Guo , Huiping Zhuang

Large language model (LLM) training is often bottlenecked by memory constraints and stochastic gradient noise in extremely high-dimensional parameter spaces. Motivated by empirical evidence that many LLM gradient matrices are effectively…

Machine Learning · Computer Science 2026-03-24 Zehao Li , Tao Ren , Zishi Zhang , Xi Chen , Yijie Peng

Spatio-temporal forecasting plays a crucial role in various sectors such as transportation systems, logistics, and supply chain management. However, existing methods are limited by their ability to handle large, complex datasets. To…

Machine Learning · Computer Science 2024-08-27 Sakhinana Sagar Srinivas , Chidaksh Ravuru , Geethan Sannidhi , Venkataramana Runkana

Reinforcement learning (RL) has become a central post-training paradigm for large language models (LLMs), but its performance is highly sensitive to the quality of training problems. This sensitivity stems from the non-stationarity of RL:…

Machine Learning · Computer Science 2026-02-26 Ningyuan Yang , Weihua Du , Weiwei Sun , Sean Welleck , Yiming Yang

The performance of large language models (LLMs) in program synthesis and mathematical reasoning is fundamentally limited by the quality of their pre-training corpora. We introduce two openly licensed pre-training datasets, released under…

The reliable application of deep learning models to software engineering tasks hinges on high-quality training data. Yet, large-scale repositories inevitably introduce noisy or mislabeled examples that degrade both accuracy and robustness.…

Software Engineering · Computer Science 2025-12-05 Zixiao Zhao , Fatemeh H. Fard , Jie JW Wu

Large language models (LLMs) have revolutionized natural language understanding and generation but face significant memory bottlenecks during training. GaLore, Gradient Low-Rank Projection, addresses this issue by leveraging the inherent…

Machine Learning · Computer Science 2025-04-30 DiJia Su , Andrew Gu , Jane Xu , Yuandong Tian , Jiawei Zhao

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