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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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

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…

数值分析 · 数学 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.…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

数值分析 · 计算机科学 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…

机器学习 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 2021-12-14 Shiye Lei , Zhuozhuo Tu , Leszek Rutkowski , Feng Zhou , Li Shen , Fengxiang He , Dacheng Tao
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