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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 inference of Large language models (LLMs) requires immense computation and memory resources. To curtail these costs, quantisation has merged as a promising solution, but existing LLM quantisation mainly focuses on 8-bit. In this work,…

Machine Learning · Computer Science 2024-03-15 Cheng Zhang , Jianyi Cheng , Ilia Shumailov , George A. Constantinides , Yiren Zhao

Deploying transformer-based neural networks on resource-constrained edge devices presents a significant challenge. This challenge is often addressed through various techniques, such as low-rank approximation and mixed-precision…

Machine Learning · Computer Science 2025-07-15 Ofir Gordon , Ariel Lapid , Elad Cohen , Yarden Yagil , Arnon Netzer , Hai Victor Habi

Post-training quantization (PTQ) enables effective model compression while preserving relatively high accuracy. Current weight-only PTQ methods primarily focus on the challenging sub-3-bit regime, where approaches often suffer significant…

Machine Learning · Computer Science 2026-01-28 Hongyaoxing Gu , Lijuan Hu , Liye Yu , Haowei Li , Fangfang Liu

Traditional post-training quantization (PTQ) is considered an effective approach to reduce model size and accelerate inference of large-scale language models (LLMs). However, existing low-rank PTQ methods require costly fine-tuning to…

Machine Learning · Computer Science 2026-01-12 Hongyaoxing Gul , Lijuan Hu , Shuzi Niu , Fangfang Liu

Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

Numerical Analysis · Mathematics 2025-12-22 Kingsley Yeon , Mihai Anitescu

We propose a simple approach for memory-efficient adaptation of pretrained language models. Our approach uses an iterative algorithm to decompose each pretrained matrix into a high-precision low-rank component and a memory-efficient…

Computation and Language · Computer Science 2024-08-28 Han Guo , Philip Greengard , Eric P. Xing , Yoon Kim

Large language models (LLMs) are omnipresent, however their practical deployment is challenging due to their ever increasing computational and memory demands. Quantization is one of the most effective ways to make them more compute and…

Machine Learning · Computer Science 2024-09-04 Yelysei Bondarenko , Riccardo Del Chiaro , Markus Nagel

With the commercialization of large language models (LLMs), weight-activation quantization has emerged to compress and accelerate LLMs, achieving high throughput while reducing inference costs. However, existing post-training quantization…

Machine Learning · Computer Science 2025-02-11 Jung Hyun Lee , Jeonghoon Kim , June Yong Yang , Se Jung Kwon , Eunho Yang , Kang Min Yoo , Dongsoo Lee

In spite of the great potential of large language models (LLMs) across various tasks, their deployment on resource-constrained devices remains challenging due to their excessive computational and memory demands. Quantization has emerged as…

Machine Learning · Computer Science 2025-02-28 Hao Mark Chen , Fuwen Tan , Alexandros Kouris , Royson Lee , Hongxiang Fan , Stylianos I. Venieris

In this paper we generalize and extend an idea of low-rank adaptation (LoRA) of large language models (LLMs) based on Transformer architecture. Widely used LoRA-like methods of fine-tuning LLMs are based on matrix factorization of gradient…

Computation and Language · Computer Science 2024-02-06 Daniel Bershatsky , Daria Cherniuk , Talgat Daulbaev , Aleksandr Mikhalev , Ivan Oseledets

Post-training quantization (PTQ) is a promising approach to reducing the storage and computational requirements of large language models (LLMs) without additional training cost. Recent PTQ studies have primarily focused on quantizing only…

Machine Learning · Computer Science 2026-02-17 Reena Elangovan , Charbel Sakr , Anand Raghunathan , Brucek Khailany

The rapid scaling of Large Language Models (LLMs) elevates inference costs and compounds substantial deployment barriers. While quantization to 8 or 4 bits mitigates this, sub-3-bit methods face severe accuracy, scalability, and efficiency…

Large language models (LLMs) have demonstrated impressive abilities in various domains while the inference cost is expensive. Many previous studies exploit quantization methods to reduce LLM inference cost by reducing latency and memory…

Machine Learning · Computer Science 2024-11-12 Jinhao Li , Jiaming Xu , Shiyao Li , Shan Huang , Jun Liu , Yaoxiu Lian , Guohao Dai

Quantization has become one of the most effective methodologies to compress LLMs into smaller size. However, the existing quantization solutions still show limitations of either non-negligible accuracy drop or low system efficiency. In this…

Machine Learning · Computer Science 2026-04-23 Zhen Zheng , Xiaonan Song , Chuanjie Liu

Low Rank Decomposition (LRD) is a model compression technique applied to the weight tensors of deep learning models in order to reduce the number of trainable parameters and computational complexity. However, due to high number of new…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Yang Liu

Low-rank decomposition (LRD) is a state-of-the-art method for visual data reconstruction and modelling. However, it is a very challenging problem when the image data contains significant occlusion, noise, illumination variation, and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Chen Chen , Baochang Zhang , Alessio Del Bue , Vittorio Murino

Large language models (LLMs) have revolutionized natural language processing, albeit at the cost of immense memory and computation requirements. Post-training quantization (PTQ) is becoming the de facto method to reduce the memory footprint…

Machine Learning · Computer Science 2024-10-28 Yuhang Li , Priyadarshini Panda

In this paper, we address a long-standing challenge: how to achieve both efficiency and scalability in solving semidefinite programming problems. We propose breakthrough acceleration techniques for a wide range of low-rank…

Optimization and Control · Mathematics 2024-08-27 Qiushi Han , Zhenwei Lin , Hanwen Liu , Caihua Chen , Qi Deng , Dongdong Ge , Yinyu Ye

Fine-tuning large language models (LLMs) is often constrained by the computational costs of processing massive datasets. We propose \textbf{QLESS} (Quantized Low-rank Gradient Similarity Search), which integrates gradient quantization with…

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