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The fully-connected tensor network (FCTN) decomposition has recently exhibited strong modeling capabilities by connecting every pair of tensor factors, thereby capturing rich cross-mode correlations. However, this advantage comes with an…

Optimization and Control · Mathematics 2026-04-13 Ziyi Gan , Chunfeng Cui

Tensor completion aimes at recovering missing data, and it is one of the popular concerns in deep learning and signal processing. Among the higher-order tensor decomposition algorithms, the recently proposed fully-connected tensor network…

Machine Learning · Computer Science 2022-04-07 Peilin Yang , Yonghui Huang , Yuning Qiu , Weijun Sun , Guoxu Zhou

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…

Numerical Analysis · Mathematics 2021-05-21 Qianxi Wu , An-Bao Xu

The recently proposed fully-connected tensor network (FCTN) decomposition has demonstrated significant advantages in correlation characterization and transpositional invariance, and has achieved notable achievements in multi-dimensional…

Machine Learning · Computer Science 2026-02-16 Wenjin Qin , Hailin Wang , Jiangjun Peng , Jianjun Wang , Tingwen Huang

The fully-connected tensor network (FCTN) decomposition has gained prominence in the field of tensor completion owing to its powerful capacity to capture the low-rank characteristics of tensors. Nevertheless, the recovery of local details…

Numerical Analysis · Mathematics 2025-10-28 Wenchao Xie , Qingsong Wang , Chengcheng Yan , Zheng Peng

The prevalent fully-connected tensor network (FCTN) has achieved excellent success to compress data. However, the FCTN decomposition suffers from slow computational speed when facing higher-order and large-scale data. Naturally, there…

Machine Learning · Computer Science 2022-10-20 Peilin Yang , Weijun Sun , Qibin Zhao , Guoxu Zhou

Functional tensor decomposition can analyze multi-dimensional data with real-valued indices, paving the path for applications in machine learning and signal processing. A limitation of existing approaches is the assumption that the tensor…

Machine Learning · Computer Science 2025-12-29 Siyuan Li , Shikai Fang , Lei Cheng , Feng Yin , Yik-Chung Wu , Peter Gerstoft , Sergios Theodoridis

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

Hyperspectral image super-resolution addresses the problem of fusing a low-resolution hyperspectral image (LR-HSI) and a high-resolution multispectral image (HR-MSI) to produce a high-resolution hyperspectral image (HR-HSI). Tensor analysis…

Numerical Analysis · Mathematics 2022-12-07 Diyi Jin , Jianjun Liu , Jinlong Yang , Zebin Wu

Remote sensing image (RSI) inpainting plays an important role in real applications. Recently, fully-connected tensor network (FCTN) decomposition has been shown the remarkable ability to fully characterize the global correlation.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Wen-Jie Zheng , Xi-Le Zhao , Yu-Bang Zheng , Zhi-Feng Pang

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

Machine Learning · Computer Science 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

Tensor decomposition is an effective approach to compress over-parameterized neural networks and to enable their deployment on resource-constrained hardware platforms. However, directly applying tensor compression in the training process is…

Machine Learning · Computer Science 2019-05-28 Cole Hawkins , Zheng Zhang

Change detection is the process of identifying pixelwise differences in bitemporal co-registered images. It is of great significance to Earth observations. Recently, with the emergence of deep learning (DL), the power and feasibility of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Pan Chen , Danfeng Hong , Zhengchao Chen , Xuan Yang , Baipeng Li , Bing Zhang

The significance of multi-scale features has been gradually recognized by the edge detection community. However, the fusion of multi-scale features increases the complexity of the model, which is not friendly to practical application. In…

Computer Vision and Pattern Recognition · Computer Science 2025-01-10 Yachuan Li , Zongmin Li , Xavier Soria P. , Chaozhi Yang , Qian Xiao , Yun Bai , Hua Li , Xiangdong Wang

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

Tensor decomposition is an important technique for capturing the high-order interactions among multiway data. Multi-linear tensor composition methods, such as the Tucker decomposition and the CANDECOMP/PARAFAC (CP), assume that the complex…

Machine Learning · Statistics 2016-11-04 Bin Liu , Zenglin Xu , Yingming Li

The robust tensor completion (RTC) problem, which aims to reconstruct a low-rank tensor from partially observed tensor contaminated by a sparse tensor, has received increasing attention. In this paper, by leveraging the superior expression…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Yun-Yang Liu , Xi-Le Zhao , Guang-Jing Song , Yu-Bang Zheng , Ting-Zhu Huang

Tensor decompositions play a crucial role in numerous applications related to multi-way data analysis. By employing a Bayesian framework with sparsity-inducing priors, Bayesian Tensor Ring (BTR) factorization offers probabilistic estimates…

Machine Learning · Computer Science 2024-12-05 Zerui Tao , Toshihisa Tanaka , Qibin Zhao

Single image dehazing is a challenging ill-posed problem that has drawn significant attention in the last few years. Recently, convolutional neural networks have achieved great success in image dehazing. However, it is still difficult for…

Computer Vision and Pattern Recognition · Computer Science 2021-02-25 Qiaosi Yi , Juncheng Li , Faming Fang , Aiwen Jiang , Guixu Zhang

Bayesian neural networks (BNNs) have become a principal approach to alleviate overconfident predictions in deep learning, but they often suffer from scaling issues due to a large number of distribution parameters. In this paper, we discover…

Machine Learning · Computer Science 2021-12-14 Shiye Lei , Zhuozhuo Tu , Leszek Rutkowski , Feng Zhou , Li Shen , Fengxiang He , Dacheng Tao
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