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This paper proposes fast randomized algorithms for computing the Kronecker Tensor Decomposition (KTD). The proposed algorithms can decompose a given tensor into the KTD format much faster than the existing state-of-the-art algorithms. Our…

数值分析 · 数学 2025-05-22 Salman Ahmadi-Asl , Naeim Rezaeian , Andre L. F. de Almeida , Yipeng Liu

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

机器学习 · 计算机科学 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

Tensor network (TN) representation is a powerful technique for computer vision and machine learning. TN structure search (TN-SS) aims to search for a customized structure to achieve a compact representation, which is a challenging NP-hard…

机器学习 · 计算机科学 2024-04-15 Yu-Bang Zheng , Xi-Le Zhao , Junhua Zeng , Chao Li , Qibin Zhao , Heng-Chao Li , Ting-Zhu Huang

A novel tensor decomposition framework, termed Tensor Star (TS) decomposition, is proposed which represents a new type of tensor network decomposition based on tensor contractions. This is achieved by connecting the core tensors in a ring…

图像与视频处理 · 电气工程与系统科学 2024-09-10 Wuyang Zhou , Yu-Bang Zheng , Qibin Zhao , Danilo Mandic

Tensor decomposition is a popular technique for tensor completion, However most of the existing methods are based on linear or shallow model, when the data tensor becomes large and the observation data is very small, it is prone to over…

数值分析 · 数学 2021-05-21 Qianxi Wu , An-Bao Xu

A rising problem in the compression of Deep Neural Networks is how to reduce the number of parameters in convolutional kernels and the complexity of these layers by low-rank tensor approximation. Canonical polyadic tensor decomposition…

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

数值分析 · 计算机科学 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

It is well known that multiplication operations in convolutional layers of common CNNs consume a lot of time during inference stage. In this article we present a flexible method to decrease both computational complexity of convolutional…

机器学习 · 计算机科学 2018-10-23 D. Babin , I. Mazurenko , D. Parkhomenko , A. Voloshko

Tucker decomposition is the cornerstone of modern machine learning on tensorial data analysis, which have attracted considerable attention for multiway feature extraction, compressive sensing, and tensor completion. The most challenging…

机器学习 · 计算机科学 2015-05-12 Qibin Zhao , Liqing Zhang , Andrzej Cichocki

Tensor decomposition has proven to be a strong tool in various 3D image processing tasks such as denoising and super-resolution. In this context, we recently proposed a canonical polyadic decomposition (CPD) based algorithm for single image…

图像与视频处理 · 电气工程与系统科学 2020-09-21 J. Hatvani , A. Basarab , J. Michetti , M. Gyöngy , D. Kouamé

Convolution neural network demonstrates great capability for multiple tasks, such as image classification and many others. However, much resource is required to train a network. Hence much effort has been made to accelerate neural network…

计算机视觉与模式识别 · 计算机科学 2020-05-20 Fuyuan Lyu , Shien Zhu , Weichen Liu

Tensor train (TT) decomposition, a powerful tool for analyzing multidimensional data, exhibits superior performance in many machine learning tasks. However, existing methods for TT decomposition either suffer from noise overfitting, or…

信号处理 · 电气工程与系统科学 2023-06-27 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu

Recommendation systems, social network analysis, medical imaging, and data mining often involve processing sparse high-dimensional data. Such high-dimensional data are naturally represented as tensors, and they cannot be efficiently…

分布式、并行与集群计算 · 计算机科学 2020-10-22 Weiyun Jiang , Kaiqi Zhang , Colin Yu Lin , Feng Xing , Zheng Zhang

Whereas CNNs have demonstrated immense progress in many vision problems, they suffer from a dependence on monumental amounts of labeled training data. On the other hand, dictionary learning does not scale to the size of problems that CNNs…

计算机视觉与模式识别 · 计算机科学 2016-12-15 Parker Koch , Jason J. Corso

While going deeper has been witnessed to improve the performance of convolutional neural networks (CNN), going smaller for CNN has received increasing attention recently due to its attractiveness for mobile/embedded applications. It remains…

计算机视觉与模式识别 · 计算机科学 2017-06-14 Zhe Li , Xiaoyu Wang , Xutao Lv , Tianbao Yang

We discuss how recently discovered techniques and tools from compressed sensing can be used in tensor decompositions, with a view towards modeling signals from multiple arrays of multiple sensors. We show that with appropriate bounds on a…

数值分析 · 数学 2015-05-18 Lek-Heng Lim , Pierre Comon

The recent trend toward increasingly deep convolutional neural networks (CNNs) leads to a higher demand of computational power and memory storage. Consequently, the deployment of CNNs in hardware has become more challenging. In this paper,…

计算机视觉与模式识别 · 计算机科学 2018-03-19 Maurice Yang , Mahmoud Faraj , Assem Hussein , Vincent Gaudet

Convolutional Neural Networks (CNNs) are state-of-the-art in numerous computer vision tasks such as object classification and detection. However, the large amount of parameters they contain leads to a high computational complexity and…

机器学习 · 计算机科学 2019-01-01 Ghouthi Boukli Hacene , Vincent Gripon , Matthieu Arzel , Nicolas Farrugia , Yoshua Bengio

Convolutional Neural Networks (CNNs) are the state-of-the-art algorithms for the processing of images. However the configuration and training of these networks is a complex task requiring deep domain knowledge, experience and much trial and…

计算机视觉与模式识别 · 计算机科学 2021-02-11 Yaron Strauch , Jo Grundy

We introduce Sauron, a filter pruning method that eliminates redundant feature maps of convolutional neural networks (CNNs). Sauron optimizes, jointly with the loss function, a regularization term that promotes feature maps clustering at…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Juan Miguel Valverde , Artem Shatillo , Jussi Tohka