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Post-training compression of large language models (LLMs) often relies on low-rank weight approximations that represent each column of the weight matrix in a shared low-dimensional subspace. This strategy is computationally efficient but…

Computation and Language · Computer Science 2026-05-05 Denis Makhov , Dmitriy Shopkhoev , Magauiya Zhussip , Ammar Ali , Stamatios Lefkimmiatis

Large language models (LLMs) achieve strong performance across diverse domains but remain difficult to deploy in resource-constrained environments due to their size. Low-rank compression is a common remedy, typically minimizing weight…

Machine Learning · Computer Science 2026-04-22 Md Mokarram Chowdhury , Daniel Agyei Asante , Ernie Chang , Yang Li

Large language models (LLMs) excel in general tasks but struggle with domain-specific ones, requiring fine-tuning with specific data. With many open-source LLMs available, selecting the best model for fine-tuning downstream tasks is…

Computation and Language · Computer Science 2025-09-05 Wei Huang , Huang Wei , Yinggui Wang

This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract the low-rank and sparse components, and are based on…

Numerical Analysis · Computer Science 2017-03-17 Mostafa Rahmani , George Atia

Low-rank factorization is a popular model compression technique that minimizes the error $\delta$ between approximated and original weight matrices. Despite achieving performances close to the original models when $\delta$ is optimized, a…

Machine Learning · Computer Science 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Jiake Tian

Large Language Models (LLMs) have revolutionized many areas of artificial intelligence (AI), but their substantial resource requirements limit their deployment on mobile and edge devices. This survey paper provides a comprehensive overview…

Machine Learning · Computer Science 2025-09-03 Sanjay Surendranath Girija , Shashank Kapoor , Lakshit Arora , Dipen Pradhan , Aman Raj , Ankit Shetgaonkar

Matrices are exceptionally useful in various fields of study as they provide a convenient framework to organize and manipulate data in a structured manner. However, modern matrices can involve billions of elements, making their storage and…

Machine Learning · Computer Science 2023-10-18 Rajarshi Saha , Varun Srivastava , Mert Pilanci

The remarkable success of Large Language Models (LLMs) relies heavily on their substantial scale, which poses significant challenges during model deployment in terms of latency and memory consumption. Recently, numerous studies have…

Computation and Language · Computer Science 2024-12-19 Weiyu Huang , Yuezhou Hu , Guohao Jian , Jun Zhu , Jianfei Chen

Despite their ubiquity in NLP tasks, Long Short-Term Memory (LSTM) networks suffer from computational inefficiencies caused by inherent unparallelizable recurrences, which further aggravates as LSTMs require more parameters for larger…

Computation and Language · Computer Science 2019-08-28 Genta Indra Winata , Andrea Madotto , Jamin Shin , Elham J. Barezi , Pascale Fung

Large language models (LLMs) have rapidly scaled in size, bringing severe memory and computational challenges that hinder their deployment. Singular Value Decomposition (SVD)-based compression has emerged as an appealing post-training…

Machine Learning · Computer Science 2025-10-07 Zhendong Mi , Bian Sun , Grace Li Zhang , Shaoyi Huang

Fine-tuning large language models (LLMs) for downstream tasks has become increasingly crucial due to their widespread use and the growing availability of open-source models. However, the high memory costs associated with fine-tuning remain…

Machine Learning · Computer Science 2025-02-04 David H. Yang , Mohammad Mohammadi Amiri , Tejaswini Pedapati , Subhajit Chaudhury , Pin-Yu Chen

Deploying local AI models, such as Large Language Models (LLMs), to edge devices can substantially enhance devices' independent capabilities, alleviate the server's burden, and lower the response time. Owing to these tremendous potentials,…

Machine Learning · Computer Science 2025-02-04 Nobel Dhar , Bobin Deng , Md Romyull Islam , Kazi Fahim Ahmad Nasif , Liang Zhao , Kun Suo

The enormous parameter scale of large language models (LLMs) has made model compression a research hotspot, which aims to alleviate computational resource demands during deployment and inference. As a promising direction, low-rank…

Machine Learning · Computer Science 2025-07-08 Guangyan Li , Yongqiang Tang , Wensheng Zhang

Extensive efforts have been made to boost the performance in the domain of language models by introducing various attention-based transformers. However, the inclusion of linear layers with large dimensions contributes to significant…

Machine Learning · Computer Science 2024-11-19 Priyansh Bhatnagar , Linfeng Wen , Mingu Kang

Large Language Models (LLMs) have recently emerged as effective surrogate models and candidate generators within global optimization frameworks for expensive blackbox functions. Despite promising results, LLM-based methods often struggle in…

Machine Learning · Computer Science 2026-01-28 Andrej Schwanke , Lyubomir Ivanov , David Salinas , Fabio Ferreira , Aaron Klein , Frank Hutter , Arber Zela

Large Language Models (LLMs) often experience performance degradation during long-running interactions due to increasing context length, memory saturation, and computational overhead. This paper presents an adaptive context compression…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Payal Fofadiya , Sunil Tiwari

Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

Machine Learning · Statistics 2021-09-24 Elena Tuzhilina , Trevor Hastie

Adapting large pre-trained language models to downstream tasks often entails fine-tuning millions of parameters or deploying costly dense weight updates, which hinders their use in resource-constrained environments. Low-rank Adaptation…

Machine Learning · Computer Science 2026-01-29 Longteng Zhang , Sen Wu , Shuai Hou , Zhengyu Qing , Zhuo Zheng , Danning Ke , Qihong Lin , Qiang Wang , Shaohuai Shi , Xiaowen Chu

As large language models (LLMs) continue to scale up, their performance on various downstream tasks has significantly improved. However, evaluating their capabilities has become increasingly expensive, as performing inference on a large…

Computation and Language · Computer Science 2026-02-10 Taolin Zhang , Hang Guo , Wang Lu , Tao Dai , Shu-Tao Xia , Jindong Wang

Large Language Models (LLMs) possess outstanding capabilities in addressing various natural language processing (NLP) tasks. However, the sheer size of these models poses challenges in terms of storage, training and inference due to the…

Computation and Language · Computer Science 2025-04-18 Shuzhou Yuan , Ercong Nie , Bolei Ma , Michael Färber