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Low-rank decomposition, particularly Singular Value Decomposition (SVD), is a pivotal technique for mitigating the storage and computational demands of Large Language Models (LLMs). However, prevalent SVD-based approaches overlook the…

Machine Learning · Computer Science 2026-01-15 Lin Xv , Xian Gao , Ting Li , Yuzhuo Fu

Low-rank approximation methods such as singular value decomposition (SVD) and its variants (e.g., Fisher-weighted SVD, Activation SVD) have recently emerged as effective tools for neural network compression. In this setting, decomposition…

Machine Learning · Computer Science 2025-12-02 Haoran Qin , Shansita Sharma , Ali Abbasi , Chayne Thrash , Soheil Kolouri

Low-rank decomposition has emerged as an important problem in Large Language Model (LLM) fine-tuning and inference. Through Singular Value Decomposition (SVD), the weight matrix can be factorized into low-rank spaces optimally. Previously,…

Machine Learning · Computer Science 2026-04-02 Yuhang Li , Donghyun Lee , Ruokai Yin , Priyadarshini Panda

The massive scale of pretrained models has made efficient compression essential for practical deployment. Low-rank decomposition based on the singular value decomposition (SVD) provides a principled approach for model reduction, but its…

Machine Learning · Computer Science 2026-04-06 Farhad Pourkamali-Anaraki

Large Language Models (LLMs) present significant deployment challenges due to their immense size and computational requirements. Model compression techniques are essential for making these models practical for resource-constrained…

Low-rank and sparse composite approximation is a natural idea to compress Large Language Models (LLMs). However, such an idea faces two primary challenges that adversely affect the performance of existing methods. The first challenge…

Machine Learning · Computer Science 2026-02-27 Changhai Zhou , Qian Qiao , Yuhua Zhou , Yuxin Wu , Shichao Weng , Weizhong Zhang , Cheng Jin

Small Language Models (SLMs, or on-device LMs) have significantly fewer parameters than Large Language Models (LLMs). They are typically deployed on low-end devices, like mobile phones and single-board computers. Unlike LLMs, which rely on…

Computation and Language · Computer Science 2025-06-17 Mingxue Xu , Yao Lei Xu , Danilo P. Mandic

We propose a compression based continual task learning method that can dynamically grow a neural network. Inspired from the recent model compression techniques, we employ compression-aware training and perform low-rank weight approximations…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Varigonda Pavan Teja , Priyadarshini Panda

High-dimensional token embeddings underpin Large Language Models (LLMs), as they can capture subtle semantic information and significantly enhance the modelling of complex language patterns. However, this high dimensionality also introduces…

Computation and Language · Computer Science 2024-10-07 Mingxue Xu , Yao Lei Xu , Danilo P. Mandic

Large language models (LLM) have achieved remarkable performance across a wide range of tasks. However, their substantial parameter sizes pose significant challenges for deployment on edge devices with limited computational and memory…

Computation and Language · Computer Science 2025-12-16 Yu-Chen Lu , Sheng-Feng Yu , Hui-Hsien Weng , Pei-Shuo Wang , Yu-Fang Hu , Liang Hung-Chun , Hung-Yueh Chiang , Kai-Chiang Wu

Low Rank Decomposition of matrix - splitting a large matrix into a product of two smaller matrix offers a means for compression that reduces the parameters of a model without sparsification, and hence delivering more speedup on modern…

Computation and Language · Computer Science 2023-09-26 Ayush Kaushal , Tejas Vaidhya , Irina Rish

The efficient implementation of large language models (LLMs) is crucial for deployment on resource-constrained devices. Low-rank tensor compression techniques, such as tensor-train (TT) networks, have been widely studied for…

Computation and Language · Computer Science 2025-10-14 Ryan Solgi , Kai Zhen , Rupak Vignesh Swaminathan , Nathan Susanj , Athanasios Mouchtaris , Siegfried Kunzmann , Zheng Zhang

The prohibitive sizes of Large Language Models (LLMs) today make it difficult to deploy them on memory-constrained edge devices. This work introduces $\rm CALDERA$ -- a new post-training LLM compression algorithm that harnesses the inherent…

Machine Learning · Computer Science 2024-11-05 Rajarshi Saha , Naomi Sagan , Varun Srivastava , Andrea J. Goldsmith , Mert Pilanci

The Key-Value (KV) cache is a crucial component in serving transformer-based autoregressive large language models (LLMs), enabling faster inference by storing previously computed KV vectors. However, its memory consumption scales linearly…

Machine Learning · Computer Science 2024-10-07 Rongzhi Zhang , Kuang Wang , Liyuan Liu , Shuohang Wang , Hao Cheng , Chao Zhang , Yelong Shen

Large language models (LLMs) have demonstrated impressive capabilities in a wide range of downstream natural language processing tasks. Nevertheless, their considerable sizes and memory demands hinder practical deployment, underscoring the…

Computation and Language · Computer Science 2026-03-17 Haolei Bai , Siyong Jian , Tuo Liang , Yu Yin , Huan Wang

In this paper, we present a Rank Revealing Randomized Singular Value Decomposition (R3SVD) algorithm to incrementally construct a low-rank approximation of a potentially large matrix while adaptively estimating the appropriate rank that can…

Numerical Analysis · Computer Science 2016-05-27 Hao Ji , Wenjian Yu , Yaohang Li

Parameter-Efficient Fine-Tuning (PEFT) has emerged as a critical paradigm for adapting Large Language Models (LLMs) to downstream tasks, among which Low-rank Adaptation (LoRA) represents one of the most widely adopted methodologies.…

Computation and Language · Computer Science 2025-05-22 Jialong Han , Si Zhang , Ke Zhang

This paper introduces a novel method of Progressive Low Rank Decomposition (PLRD) tailored for the compression of large language models. Our approach leverages a pre-trained model, which is then incrementally decompressed to smaller sizes…

Computation and Language · Computer Science 2024-07-01 Habib Hajimolahoseini , Mohammad Hassanpour , Foozhan Ataiefard , Boxing Chen , Yang Liu

Training large language models (LLMs) is highly memory-intensive, as training must store not only weights and optimizer states but also intermediate activations for backpropagation. While existing memory-efficient methods largely focus on…

Machine Learning · Computer Science 2026-05-05 Wen-Da Wei , Han-Bin Fang , Yang-Di Liu , Jiang-Xin Shi , James Kwok , Yu-Feng Li

Large language models (LLMs) are both storage-intensive and computation-intensive, posing significant challenges when deployed on resource-constrained hardware. As linear layers in LLMs are mainly resource consuming parts, this paper…

Hardware Architecture · Computer Science 2025-02-03 Sixiao Huang , Tintin Wang , Ang Li , Ao Shen , Kai Li , Keyao Jiang , Mingqiang Huang , Hao Yu