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Three dimensional convolutional neural networks (3DCNNs) have been applied in many tasks, e.g., video and 3D point cloud recognition. However, due to the higher dimension of convolutional kernels, the space complexity of 3DCNNs is generally…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Dingheng Wang , Guangshe Zhao , Guoqi Li , Lei Deng , Yang Wu

Deep convolutional neural networks contain tens of millions of parameters, making them impossible to work efficiently on embedded devices. We propose iterative approach of applying low-rank approximation to compress deep convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-11-18 Maksym Kholiavchenko

Convolutional neural networks excel in image recognition tasks, but this comes at the cost of high computational and memory complexity. To tackle this problem, [1] developed a tensor factorization framework to compress fully-connected…

Machine Learning · Computer Science 2016-11-11 Timur Garipov , Dmitry Podoprikhin , Alexander Novikov , Dmitry Vetrov

Neural networks are widely used for image-related tasks but typically demand considerable computing power. Once a network has been trained, however, its memory- and compute-footprint can be reduced by compression. In this work, we focus on…

Machine Learning · Computer Science 2025-11-13 Alper Kalle , Theo Rudkiewicz , Mohamed-Oumar Ouerfelli , Mohamed Tamaazousti

Recent findings indicate that over-parametrization, while crucial for successfully training deep neural networks, also introduces large amounts of redundancy. Tensor methods have the potential to efficiently parametrize over-complete…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Jean Kossaifi , Adrian Bulat , Georgios Tzimiropoulos , Maja Pantic

While post-training model compression can greatly reduce the inference cost of a deep neural network, uncompressed training still consumes a huge amount of hardware resources, run-time and energy. It is highly desirable to directly train a…

Machine Learning · Computer Science 2021-10-05 Cole Hawkins , Xing Liu , Zheng Zhang

Deep convolutional neural networks (CNNs) with a large number of parameters require intensive computational resources, and thus are hard to be deployed in resource-constrained platforms. Decomposition-based methods, therefore, have been…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Shaowu Chen , Jiahao Zhou , Weize Sun , Lei Huang

Tensor decomposition methods are widely used for model compression and fast inference in convolutional neural networks (CNNs). Although many decompositions are conceivable, only CP decomposition and a few others have been applied in…

Machine Learning · Computer Science 2019-11-28 Kohei Hayashi , Taiki Yamaguchi , Yohei Sugawara , Shin-ichi Maeda

Despite their high accuracy, complex neural networks demand significant computational resources, posing challenges for deployment on resource constrained devices such as mobile phones and embedded systems. Compression algorithms have been…

Machine Learning · Computer Science 2025-09-23 Ali Aghababaei-Harandi , Massih-Reza Amini

Low-rank approximation is an effective model compression technique to not only reduce parameter storage requirements, but to also reduce computations. For convolutional neural networks (CNNs), however, well-known low-rank approximation…

Machine Learning · Computer Science 2019-05-27 Dongsoo Lee , Se Jung Kwon , Byeongwook Kim , Gu-Yeon Wei

The (efficient and parsimonious) decomposition of higher-order tensors is a fundamental problem with numerous applications in a variety of fields. Several methods have been proposed in the literature to that end, with the Tucker and PARAFAC…

General Mathematics · Mathematics 2024-06-28 Sergio Rozada , Antonio G. Marques

Tensor decompositions are promising tools for big data analytics as they bring multiple modes and aspects of data to a unified framework, which allows us to discover complex internal structures and correlations of data. Unfortunately most…

Numerical Analysis · Computer Science 2014-12-30 Guoxu Zhou , Andrzej Cichocki , Shengli Xie

In this paper we study the problem of learning the weights of a deep convolutional neural network. We consider a network where convolutions are carried out over non-overlapping patches with a single kernel in each layer. We develop an…

Machine Learning · Computer Science 2018-05-18 Samet Oymak , Mahdi Soltanolkotabi

One of the main issues in computing a tensor decomposition is how to choose the number of rank-one components, since there is no finite algorithms for determining the rank of a tensor. A commonly used approach for this purpose is to find a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Claudio Turchetti

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

Machine Learning · Statistics 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Deep Convolutional Neural Networks (CNNs) are increasingly difficult to deploy on microcontrollers (MCUs) and lightweight NPUs (Neural Processing Units) due to their growing size and compute demands. Low-rank tensor decomposition, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Sudhakar Sah , Nikhil Chabbra , Matthieu Durnerin

The Canonical Polyadic decomposition (CPD) is a convenient and intuitive tool for tensor factorization; however, for higher-order tensors, it often exhibits high computational cost and permutation of tensor entries, these undesirable…

Numerical Analysis · Computer Science 2018-09-05 Anh-Huy Phan , Andrzej Cichocki , Ivan Oseledets , Salman Ahmadi Asl , Giuseppe Calvi , Danilo Mandic

Deep learning, e.g., convolutional neural networks (CNNs), has achieved great success in image processing and computer vision especially in high level vision applications such as recognition and understanding. However, it is rarely used to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-03 Feng Jiang , Wen Tao , Shaohui Liu , Jie Ren , Xun Guo , Debin Zhao

The focus of this paper is the application of classical model order reduction techniques, such as Active Subspaces and Proper Orthogonal Decomposition, to Deep Neural Networks. We propose a generic methodology to reduce the number of layers…

Machine Learning · Computer Science 2024-01-22 Laura Meneghetti , Nicola Demo , Gianluigi Rozza

Channel pruning and tensor decomposition have received extensive attention in convolutional neural network compression. However, these two techniques are traditionally deployed in an isolated manner, leading to significant accuracy drop…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Yuchao Li , Shaohui Lin , Jianzhuang Liu , Qixiang Ye , Mengdi Wang , Fei Chao , Fan Yang , Jincheng Ma , Qi Tian , Rongrong Ji