Collection of popular and reproducible tensor completion works.
Criteria: works must have codes available, and the reproducible results demonstrate state-of-the-art performances.
This list is maintained by:
Xi-Le Zhao, Tai-Xiang Jiang, Yu-Bang Zheng
[Email] (UESTC)
- Tensor Decompositions and Applications (SIAM Review 2009), Tamara G. Kolda and Brett W. Bader
- Tensor Decompositions for Signal Processing Applications: From Two-way to Multiway Component Analysis (IEEE SP 2015), Andrzej Cichocki et al.
- Tensor Decomposition for Signal Processing and Machine Learning (IEEE TSP 2017), Nicholas D. Sidiropoulos et al.
- Sparse Recovery: From Vectors to Tensors (National Science Review 2017), Yao Wang et al.
- Low Rank Tensor Completion for Multiway Visual Data (Signal Processing 2019), Zhen Long et al.
- Tensor Completion Algorithms in Big Data Analytics (TKDD 2019), Qingquan Song et al.
- BCPF [Web] [Code] [PDF]
- Bayesian CP factorization of incomplete tensors with automatic rank determination, IEEE Transactions on Pattern Analysis and Machine Intelligence 2015, Qibin Zhao et al.
- SNN [Web] [Code] [PDF]
- Tensor Completion for Estimating Missing Values in Visual Data, IEEE Transactions on Pattern Analysis and Machine Intelligence 2015, Ji Liu et al.
- TMac [Web] [Code] [PDF]
- Parallel matrix factorization for low-rank tensor completion, Inverse Problems and Imaging 2015, Yangyang Xu et al.
- KBR [Web] [Code] [PDF]
- Kronecker-Basis-Representation Based Tensor Sparsity and Its Applications to Tensor Recovery, IEEE Transactions on Pattern Analysis and Machine Intelligence 2018, Qi Xie et al.
- t-SVD[Web][Code] [PDF]
- Factorization Strategies for Third-order Tensors, Linear Algebra and its Applications 2011, M. E. Kilmer et al.
- TNN [Web] [Code] [PDF]
- Novel Methods for Multilinear Data Completion and De-noising Based on Tensor-SVD IEEE Conference on Computer Vision and Pattern Recognition 2014, Zemin Zhang et al.
- TRPCA [Web] [Code] [PDF]
- Tensor Robust Principal Component Analysis with A New Tensor Nuclear Norm IEEE Transactions on Pattern Analysis and Machine Intelligence 2018, Canyi Lu et al.
- MTPCP [Web][Code][PDF]
- Low-Tubal-Rank Plus Sparse Tensor Recovery With Prior Subspace Information IEEE Transactions on Pattern Analysis and Machine Intelligence 2021, Jian-Jun Wang et al.
- 3DTNN [Web] [Code] [PDF]
- Mixed Noise Removal in Hyperspectral Image via Low-Fibered-Rank Regularization IEEE Transactions on Geoscience and Remote Sensing 2020, Yu-Bang Zheng et al.
- PSTNN [Web] [Code] [PDF]
- Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm Journal of Computational and Applied Mathematics 2020, Tai-Xiang Jiang et al.
- TNN-DCT [Web][Code][PDF]
- Low-Rank Tensor Completion With a New Tensor Nuclear Norm Induced by Invertible Linear Transforms IEEE Conference on Computer Vision and Pattern Recognition 2019, Canyi Lu et al.
- TTNN [Web][Code][PDF]
- Robust tensor completion using transformed tensor singular value decomposition Numerical Linear Algebra with Applications 2020, Guangjing Song et al.
- t-SVDM [Web] [Code] [PDF]
- Tensor-tensor algebra for optimal representation and compression of multiway data (Proceedings of the National Academy of Sciences of the United States of America 2021), Misha E. Kilmer et al.
- Framelet [Web][Code][PDF]
- Framelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion IEEE Transactions on Image Processing 2020, Tai-Xiang Jiang et al.
- CT-LRTC [Web][Code][PDF]
- Multi-Dimensional Visual Data Completion via Low-Rank Tensor Representation Under Coupled Transform IEEE Transactions on Image Processing 2021, Jian-Li Wang et al.
- TQN [Web][Code][PDF]
- Tensor Q-rank: new data dependent definition of tensor rank Machine Learning 2021, Hao Kong et al.
- DTNN [Web][Code][PDF]
- Dictionary Learning With Low-Rank Coding Coefficients for Tensor Completion IEEE Transactions on Neural Networks and Learning Systems 2021, Tai-Xiang Jiang et al.
- TT Decomposition [Web] [[Code]] [PDF]
- Tensor-Train Decomposition, SIAM Journal on Scientific Computing 2011, I. V. Oseledets
- TMac-TT [Web] [Code] [PDF]
- Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train, IEEE Transactions on Image Processing 2017, Johann A. Bengua et al.
- MF-TTTV [Web] [Code] [PDF]
- Low-Rank Tensor Completion Using Matrix Factorization Based on Tensor Train Rank and Total Variation, Journal of Scientific Computing 2019, Meng Ding et al.
- TR Decomposition [Web] [Code] [PDF]
- Tensor Ring Decomposition, arXiv 2016, Qibin Zhao et al.
- TRLRF [Web] [Code] [PDF]
- Tensor Ring Decomposition with Rank Minimization on Latent Space: An Efficient Approach for Tensor Completion, AAAI 2019, Longhao Yuan et al.
- TN Rank [Web] [[Code]] [PDF]
- Tensor Network Ranks, arXiv 2019, Ke Ye et al.
- FCTN Decomposition [Web] [Code] [PDF]
- Fully-Connected Tensor Network Decomposition and Its Application to Higher-Order Tensor Completion, AAAI 2021, Yu-Bang Zheng et al.
- NL-FCTN Decomposition [Web] [[Code]] [PDF]
- Nonlocal Patch-Based Fully-Connected Tensor Network Decomposition for Multispectral Image Inpainting, IEEE Geoscience and Remote Sensing Letters 2021, Wen-Jie Zheng et al.
- TT-LSTM [Web] [Code] [PDF]
- Tensor-Train Recurrent Neural Networks for Video Classification (ICML 2017), Yinchong Yang et al.
- TT-Layer [Web] [Code] [PDF]
- Tensorizing Neural Networks (NIPS 2015), Alexander Novikov et al.
- Multi-Spectral Image (MSI)
- Hyper-Spectral Image (HSI)
- Magnetic Resonance Imaging (MRI) Volume
- Video
- Hyper-Spectral Video (HSV)
- Traffic data
- PSNR (Peak Signal-to-Noise Ratio) [Wiki] [Matlab Code]
- SSIM (Structural similarity) [Wiki] [Matlab Code]