ivanshih / 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, Teng-Yu Ji, Tai-Xiang Jiang, Meng Ding, 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 (PAMI 2015), Qibin Zhao et al.

Tucker Decomposition

  • SNN [Web] [Code] [PDF]
    • Tensor Completion for Estimating Missing Values in Visual Data (PAMI 2012), Ji Liu et al.
  • TMac [Web] [Code] [PDF]
    • Parallel matrix factorization for low-rank tensor completion (Inverse Problems and Imaging), Yangyang Xu et al.
  • KBR [Web] [Code] [PDF]
    • Kronecker-Basis-Representation Based Tensor Sparsity and Its Applications to Tensor Recovery (PAMI 2017), Qi Xie et al.

Tensor Singular Value Decomposition

  • TRPCA [Web] [Code] [PDF]
    • Tensor Robust Principal Component Analysis with A New Tensor Nuclear Norm (PAMI2018), Canyi Lu et al.
  • 3DTNN [Web] [Code] [PDF]
    • Mixed Noise Removal in Hyperspectral Image via Low-Fibered-Rank Regularization (IEEE TGRS2020), Yu-Bang Zheng et al.
  • PSTNN [Web] [Code] [PDF]
    • Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm (JCAM2020), Tai-Xiang Jiang et al.
  • TNN [Web] [Code] [PDF]
    • Novel Methods for Multilinear Data Completion and De-noising Based on Tensor-SVD (CVPR2014), Zemin Zhang et al.  

Tensor Train Decomposition

  • TMac-TT [Web] [Code] [PDF]
    • Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train (IEEE TIP2017), 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 (JSC2019), Meng Ding et al.

Tensor Ring Decomposition

  • 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.

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

Commonly Used Image Quality Metrics

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