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Affine rank minimization problem is the generalized version of low rank matrix completion problem where linear combinations of the entries of a low rank matrix are observed and the matrix is estimated from these measurements. We propose a…

Machine Learning · Computer Science 2021-05-17 Siva Shanmugam , Sheetal Kalyani

Factorizing a large matrix into small matrices is a popular strategy for model compression. Singular value decomposition (SVD) plays a vital role in this compression strategy, approximating a learned matrix with fewer parameters. However,…

Machine Learning · Computer Science 2022-07-04 Yen-Chang Hsu , Ting Hua , Sungen Chang , Qian Lou , Yilin Shen , Hongxia Jin

Deep neural networks (DNNs) have demonstrated remarkable performance in many tasks but it often comes at a high computational cost and memory usage. Compression techniques, such as pruning and quantization, are applied to reduce the memory…

Machine Learning · Computer Science 2025-07-09 Kimia Soroush , Mohsen Raji , Behnam Ghavami

Updating a truncated Singular Value Decomposition (SVD) is crucial in representation learning, especially when dealing with large-scale data matrices that continuously evolve in practical scenarios. Aligning SVD-based models with fast-paced…

Numerical Analysis · Mathematics 2024-01-19 Haoran Deng , Yang Yang , Jiahe Li , Cheng Chen , Weihao Jiang , Shiliang Pu

This paper presents novel adaptive space-time reduced-rank interference suppression least squares algorithms based on joint iterative optimization of parameter vectors. The proposed space-time reduced-rank scheme consists of a joint…

Information Theory · Computer Science 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Deep kernel map networks have shown excellent performances in various classification problems including image annotation. Their general recipe consists in aggregating several layers of singular value decompositions (SVDs) -- that map data…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Mingyuan Jiu , Hichem Sahbi

Most existing domain adaptation methods focus on adaptation from only one source domain, however, in practice there are a number of relevant sources that could be leveraged to help improve performance on target domain. We propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Ruihuang Li , Xu Jia , Jianzhong He , Shuaijun Chen , Qinghua Hu

We study gradient compression methods to alleviate the communication bottleneck in data-parallel distributed optimization. Despite the significant attention received, current compression schemes either do not scale well or fail to achieve…

Machine Learning · Computer Science 2020-02-19 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi

The low-rank tensor approximation is very promising for the compression of deep neural networks. We propose a new simple and efficient iterative approach, which alternates low-rank factorization with a smart rank selection and fine-tuning.…

Machine Learning · Computer Science 2019-11-18 Julia Gusak , Maksym Kholiavchenko , Evgeny Ponomarev , Larisa Markeeva , Ivan Oseledets , Andrzej Cichocki

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

Although the convolutional neural networks (CNNs) have become popular for various image processing and computer vision task recently, it remains a challenging problem to reduce the storage cost of the parameters for resource-limited…

Machine Learning · Computer Science 2018-11-01 Chao Li , Zhun Sun , Jinshi Yu , Ming Hou , Qibin Zhao

To enable DNNs on edge devices like mobile phones, low-rank approximation has been widely adopted because of its solid theoretical rationale and efficient implementations. Several previous works attempted to directly approximate a…

Machine Learning · Computer Science 2020-05-01 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

Machine Learning · Computer Science 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

Deep neural networks (DNNs) have become the state-of-the-art technique for machine learning tasks in various applications. However, due to their size and the computational complexity, large DNNs are not readily deployable on edge devices in…

Machine Learning · Computer Science 2018-05-31 Lazar Supic , Rawan Naous , Ranko Sredojevic , Aleksandra Faust , Vladimir Stojanovic

Tensor decomposition methods have proven effective in various applications, including compression and acceleration of neural networks. At the same time, the problem of determining optimal decomposition ranks, which present the crucial…

Machine Learning · Computer Science 2023-04-05 Maxim Kodryan , Dmitry Kropotov , Dmitry Vetrov

Deep neural networks (DNNs) have achieved remarkable success in computer vision; however, training DNNs for satisfactory performance remains challenging and suffers from sensitivity to empirical selections of an optimization algorithm for…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Haichao Zhang , Kuangrong Hao , Lei Gao , Bing Wei , Xuesong Tang

Despite significant advancements, the practical deployment of Large Language Models (LLMs) is often hampered by their immense sizes, highlighting the need for effective compression techniques. Singular Value Decomposition (SVD) is a…

Computation and Language · Computer Science 2025-03-18 Xin Wang , Samiul Alam , Zhongwei Wan , Hui Shen , Mi Zhang

Recent advances in deep learning have made available large, powerful convolutional neural networks (CNN) with state-of-the-art performance in several real-world applications. Unfortunately, these large-sized models have millions of…

Machine Learning · Computer Science 2020-07-17 Giosuè Cataldo Marinò , Gregorio Ghidoli , Marco Frasca , Dario Malchiodi

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

Numerical Analysis · Computer Science 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente