English
Related papers

Related papers: Latent Matrices for Tensor Network Decomposition a…

200 papers

Tensor decomposition is a powerful tool for data analysis and has been extensively employed in the field of hyperspectral-multispectral image fusion (HMF). Existing tensor decomposition-based fusion methods typically rely on disruptive data…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Linsong Shan , Zecan Yang , Laurence T. Yang , Changlong Li , Honglu Zhao , Xin Nie

Originating in quantum physics, tensor networks (TNs) have been widely adopted as exponential machines and parameter decomposers for recognition tasks. Typical TN models, such as Matrix Product States (MPS), have not yet achieved successful…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Chang Nie , Junfang Chen , Yajie Chen

Tensor ring (TR) decomposition has recently received increased attention due to its superior expressive performance for high-order tensors. However, the applicability of traditional TR decomposition algorithms to real-world applications is…

Machine Learning · Computer Science 2023-05-17 Yicong He , George K. Atia

Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway arrays or tensors. It is therefore…

Numerical Analysis · Computer Science 2017-09-12 A. Cichocki , N. Lee , I. V. Oseledets , A. -H. Phan , Q. Zhao , D. Mandic

Tensor train (TT) decomposition has drawn people's attention due to its powerful representation ability and performance stability in high-order tensors. In this paper, we propose a novel approach to recover the missing entries of incomplete…

Numerical Analysis · Computer Science 2018-12-03 Longhao Yuan , Qibin Zhao , Lihua Gui , Jianting Cao

The recently introduced locally orderless tensor network (LoTeNet) for supervised image classification uses matrix product state (MPS) operations on grids of transformed image patches. The resulting patch representations are combined back…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Raghavendra Selvan , Silas Ørting , Erik B Dam

Tensor networks are factorisations of high rank tensors into networks of lower rank tensors and have primarily been used to analyse quantum many-body problems. Tensor networks have seen a recent surge of interest in relation to supervised…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Raghavendra Selvan , Silas Ørting , Erik B Dam

Recently, deep neural networks (DNNs) have been regarded as the state-of-the-art classification methods in a wide range of applications, especially in image classification. Despite the success, the huge number of parameters blocks its…

Machine Learning · Statistics 2017-12-18 Guangxi Li , Jinmian Ye , Haiqin Yang , Di Chen , Shuicheng Yan , Zenglin Xu

Large CNNs have delivered impressive performance in various computer vision applications. But the storage and computation requirements make it problematic for deploying these models on mobile devices. Recently, tensor decompositions have…

Machine Learning · Computer Science 2016-02-16 Cheng Tai , Tong Xiao , Yi Zhang , Xiaogang Wang , Weinan E

Long short-term memory (LSTM) is a type of powerful deep neural network that has been widely used in many sequence analysis and modeling applications. However, the large model size problem of LSTM networks make their practical deployment…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Yu Gong , Miao Yin , Lingyi Huang , Chunhua Deng , Yang Sui , Bo Yuan

Large language models (LLMs) demonstrate outstanding performance in various tasks in machine learning and have thus become one of the most important workloads in today's computing landscape. However, deploying LLM inference poses challenges…

Machine Learning · Computer Science 2024-06-21 Jungi Lee , Wonbeom Lee , Jaewoong Sim

Tensor decomposition is one of the fundamental technique for model compression of deep convolution neural networks owing to its ability to reveal the latent relations among complex structures. However, most existing methods compress the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Bo-Shiuan Chu , Che-Rung Lee

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

The groundbreaking performance of deep neural networks (NNs) promoted a surge of interest in providing a mathematical basis to deep learning theory. Low-rank tensor decompositions are specially befitting for this task due to their close…

Machine Learning · Computer Science 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

Numerical Analysis · Computer Science 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

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

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

Long Short-Term Memory (LSTM) is a popular approach to boosting the ability of Recurrent Neural Networks to store longer term temporal information. The capacity of an LSTM network can be increased by widening and adding layers. However,…

Machine Learning · Statistics 2017-12-14 Zhen He , Shaobing Gao , Liang Xiao , Daxue Liu , Hangen He , David Barber

Neural Network designs are quite diverse, from VGG-style to ResNet-style, and from Convolutional Neural Networks to Transformers. Towards the design of efficient accelerators, many works have adopted a dataflow-based, inter-layer pipelined…

Machine Learning · Computer Science 2023-06-23 Zhewen Yu , Christos-Savvas Bouganis

We introduce a unified framework, formulated as general latent space models, to study complex higher-order network interactions among multiple entities. Our framework covers several popular models in recent network analysis literature,…

Machine Learning · Computer Science 2021-07-01 Zhongyuan Lyu , Dong Xia , Yuan Zhang