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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…

机器学习 · 计算机科学 2024-08-13 Jun Lu

We propose a method for estimating a covariance matrix that can be represented as a sum of a low-rank matrix and a diagonal matrix. The proposed method compresses high-dimensional data, computes the sample covariance in the compressed…

统计方法学 · 统计学 2017-04-04 Gautam Sabnis , Debdeep Pati , Anirban Bhattacharya

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…

计算与语言 · 计算机科学 2025-04-18 Shuzhou Yuan , Ercong Nie , Bolei Ma , Michael Färber

Low-rank adaptation (LoRA) has been prominently employed for parameter-efficient fine-tuning of large language models (LLMs). However, the limited expressive capacity of LoRA, stemming from the low-rank constraint, has been recognized as a…

计算与语言 · 计算机科学 2025-03-18 Zhiwei He , Zhaopeng Tu , Xing Wang , Xingyu Chen , Zhijie Wang , Jiahao Xu , Tian Liang , Wenxiang Jiao , Zhuosheng Zhang , Rui Wang

The use of low-rank adaptation (LoRA) with frozen pretrained language models (PLMs) has become increasing popular as a mainstream, resource-efficient modeling approach for memory-constrained hardware. In this study, we first explore how to…

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…

机器学习 · 计算机科学 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Jiake Tian

Compressing neural networks is a key step when deploying models for real-time or embedded applications. Factorizing the model's matrices using low-rank approximations is a promising method for achieving compression. While it is possible to…

机器学习 · 计算机科学 2023-10-20 Lucas Maison , Hélion du Mas des Bourboux , Thomas Courtat

The use of low-rank approximation filters in the field of NMR is increasing due to their flexibility and effectiveness. Despite their ability to reduce the Mean Square Error between the processed signal and the true signal is well known,…

数据分析、统计与概率 · 物理学 2023-10-05 R. Francischello , M. F. Santarelli , A. Flori , L. Menichetti , M. Geppi

The training of sparse neural networks is becoming an increasingly important tool for reducing the computational footprint of models at training and evaluation, as well enabling the effective scaling up of models. Whereas much work over the…

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,…

计算机视觉与模式识别 · 计算机科学 2024-08-15 Kailing Guo , Zhenquan Lin , Canyang Chen , Xiaofen Xing , Fang Liu , Xiangmin Xu

Recent works on adaptive sparse and on low-rank signal modeling have demonstrated their usefulness in various image / video processing applications. Patch-based methods exploit local patch sparsity, whereas other works apply low-rankness of…

计算机视觉与模式识别 · 计算机科学 2018-08-07 Bihan Wen , Yanjun Li , Yoram Bresler

With the growth of model and data sizes, a broad effort has been made to design pruning techniques that reduce the resource demand of deep learning pipelines, while retaining model performance. In order to reduce both inference and training…

机器学习 · 计算机科学 2026-02-24 Dayana Savostianova , Emanuele Zangrando , Gianluca Ceruti , Francesco Tudisco

Regularized nonnegative low-rank approximations, such as sparse Nonnegative Matrix Factorization or sparse Nonnegative Tucker Decomposition, form an important branch of dimensionality reduction models known for their enhanced…

机器学习 · 计算机科学 2025-01-31 Jeremy E. Cohen , Valentin Leplat

In this paper, we study the problem of decomposing a superposition of a low-rank matrix and a sparse matrix when a relatively few linear measurements are available. This problem arises in many data processing tasks such as aligning multiple…

信息论 · 计算机科学 2012-03-01 Arvind Ganesh , Kerui Min , John Wright , Yi Ma

Finding the sparse representation of a signal in an overcomplete dictionary has attracted a lot of attention over the past years. This paper studies ProSparse, a new polynomial complexity algorithm that solves the sparse representation…

信息论 · 计算机科学 2017-07-11 Yue M. Lu , Jon Oñativia , Pier Luigi Dragotti

How can we compress language models without sacrificing accuracy? The number of compression algorithms for language models is rapidly growing to benefit from remarkable advances of recent language models without side effects due to the…

计算与语言 · 计算机科学 2024-01-30 Seungcheol Park , Jaehyeon Choi , Sojin Lee , U Kang

The rapid growth of Large Language Models has driven demand for effective model compression techniques to reduce memory and computation costs. Low-rank pruning has gained attention for its GPU compatibility across all densities. However,…

机器学习 · 计算机科学 2025-08-14 Jialin Zhao , Yingtao Zhang , Carlo Vittorio Cannistraci

Sparse autoencoders (SAEs) decompose language model representations into a sparse set of linear latent vectors. Recent works have improved SAEs using language model gradients, but these techniques require many expensive backward passes…

机器学习 · 计算机科学 2025-05-28 Matthew Chen , Joshua Engels , Max Tegmark

Pre-trained language models (PLMs) are engineered to be robust in contextual understanding and exhibit outstanding performance in various natural language processing tasks. However, their considerable size incurs significant computational…

计算与语言 · 计算机科学 2024-08-21 Guanchen Li , Xiandong Zhao , Lian Liu , Zeping Li , Dong Li , Lu Tian , Jie He , Ashish Sirasao , Emad Barsoum

Multilingual self-supervised speech representation models have greatly enhanced the speech recognition performance for low-resource languages, and the compression of these huge models has also become a crucial prerequisite for their…

计算与语言 · 计算机科学 2023-06-05 Haoyu Wang , Siyuan Wang , Wei-Qiang Zhang , Jinfeng Bai