zhaoxile/reproducible-tensor-completion-state-of-the-art zhaoxile/reproducible-tensor-completion-state-of-the-art

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zhaoxile/reproducible-tensor-completion-state-of-the-art
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reproducible-tensor-completion-state-of-the-art

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)

Excellent Review

  • 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.

CANDECOMP/PARAFAC Decomposition

  • 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.

Tucker Decomposition (Maintained by Hao Zhang)

  • 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.

Tensor Singular Value Decomposition (Maintained by Ben-Zheng Li)

  • 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. Β 

Tensor Network Decomposition (Maintained by Wen-Jie Zheng and Yu-Bang Zheng)

  • 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.

Deep Learning

  • 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.

Tensor Toolbox

Real-World Applications

Commonly Used Dataset (Maintained by Jie Lin)

Commonly Used Image Quality Metrics

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