Tensor Completion

Follow this topic Ask about this topic

Momentum

1 paper in the last four weeks, against 1 the four weeks before. 0.0% of all new papers.

Jul 13Week of Sep 28

Latest papers 10

All topics

Semi-Tensor Product-Based Multi-Term Randomized T-SVD and Its Visual Applications
Sep 11, 2026Xingchen Xiao (School of Mathematics and Statistics, Southwest University, Chongqing +13Tensor Completion Tensor Decomposition
School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China
Coupled Tensor-Tensor Completion Method with Applications in Drug Repurposing
Sep 2, 2026Maryam Bagherian, Albert Hung, Ivo Dinov +1Tensor Completion Learning with Missing Data
Department of Mathematics & Statistics, Idaho State University, Physical Science Complex — 921 S. 8th Ave., Stop 8085 — Pocatello, ID 83209 · Computer Science & Artificial Intelligence Laboratory, Massachusetts Institute of Technology · Department of Computational Medicine & Bioinformatics, University of Michigan, Ann Arbor +2
Robust Low-Tubal-Rank Tensor Completion under Cross-Concentrated Sampling
Aug 4, 2026HanQin Cai, Longxiu Huang, Jing Qin +1Tensor Completion Tensor Decomposition
School of Data, Mathematical, and Statistical Sciences and Department of Computer Science, University of Central Florida, Orlando, FL 32816, USA · Department of Computational Mathematics, Science, and Engineering and Department of Mathematics, Michigan State University, East Lansing, MI 48840, USA · Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA +1
Dual-Attention Convolution Experts for Sparse Tensor Completion
Jun 19, 2026Yanlei Liu, Zhenyu LiaoTensor Completion Tensor Decomposition
School of Electronic Information and Communications (EIC), Huazhong University of Science and Technology (HUST), Wuhan, China
Low-Rank Tensor Completion Based on Fractional Regularization with Ky Fan p-k Norm
Jun 17, 2026Shan Fan, Feng Zhang, Jianjun Wang +2Tensor Completion Nonconvex Optimization
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China · School of Mathematical Sciences/Research Center for Image and Vision Computing, University of Electronic Science and Technology of China, Chengdu 611731, China · Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen 518055, China
Robust Neural Tucker Factorization with Bias Correction and Adaptive Initialization
Jun 15, 2026Yuchao Su, Yixin RanTensor Completion Neural Network Initialization
School of Computer Science and Engineering, Chongqing University of Science and Technology, Chongqing, China · College of Computer and Information Science, School of Software, Southwest University, Chongqing, China
Spectra-Guided Neural Tucker Factorization
May 30, 2026Fusheng Wang, Yikai HouTensor Completion Tensor Decomposition
School of Automation, Chongqing University of Posts and Telecommunications, Chongqing, China · College of Computer and Information Science, School of Software, Southwest University, Chongqing, China
Low Rank Tensor Completion via Adaptive ADMM
May 5, 2026Niclas Führling, Getuar Rexhepi, Giuseppe Thadeu Freitas de AbreuTensor Completion Nuclear Norm Minimization
School of Computer Science and Engineering, Constructor University, Bremen, Germany
Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank Tensor Completion
May 2, 2026Biswarup Karmakar, Ratikanta BeheraTensor Completion Tensor Decomposition
Department of Computational and Data Sciences, Indian Institute of Science, Bangalore, 560012, India
Inductive Convolution Nuclear Norm Minimization for Tensor Completion with Arbitrary Sampling
Apr 18, 2026Wei Li, Yuyang Li, Kaile Du +2Tensor Completion Tensor Decomposition
The authors are with the School of Automation, Southeast University, Nanjing, China 210018.

Sep 11, 2026, cs.LGJ/K move · Enter open · S save

Semi-Tensor Product-Based Multi-Term Randomized T-SVD and Its Visual Applications

Xingchen Xiao (School of Mathematics and Statistics, Southwest University, Chongqing, China)+12

School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China

Tensor Completion Tensor Decomposition Low-Rank Approximation Singular Value Decomposition

Open paper AskPDF arXiv

Tensor singular value decomposition (T-SVD), which is built upon the tensor-tensor product (t-product), has emerged as a powerful tool for processing high-dimensional visual data such as color images and videos. However, the standard t-product imposes strict dimensional compatibility constraints. Although extensions based on the semi-tensor product (STP) relax this restriction, their single-term formulations still suffer from limited approximation accuracy. Moreover, these deterministic methods incur high computational costs when processing large-scale tensor data. To address these issues, this paper introduces a novel semi-tensor product for third-order tensors under the t-product framework induced by arbitrary invertible linear transforms. The resulting tensor semi-tensor product breaks the rigid dimension matching requirement of the standard t-product, while retaining the closed-form property of T-SVD. Based on this construction, we develop a multi-term semi-tensor product singular value decomposition (MSTP-SVD), which integrates multiple orthogonal decomposition terms to significantly improve low-rank approximation accuracy compared with single-term schemes. To reduce the computational cost of multi-term modeling, we incorporate randomized projection and power iteration techniques into the MSTP-SVD framework, yielding an accelerated multi-term randomized semi-tensor product SVD (MRSTP-SVD) algorithm that achieves a balance between reconstruction accuracy and computational efficiency. Experiments on image and video compression and completion tasks demonstrate the effectiveness of the proposed method.

Momentum

Related topics

Latest papers 10