Robust tensor completion using transformed tensor singular value decomposition

[1]  Xi-Le Zhao,et al.  Low-Rank Tensor Completion Using Matrix Factorization Based on Tensor Train Rank and Total Variation , 2019, Journal of Scientific Computing.

[2]  H. Zou,et al.  Another look at distance‐weighted discrimination , 2018 .

[3]  Zemin Zhang,et al.  Exact Tensor Completion Using t-SVD , 2015, IEEE Transactions on Signal Processing.

[4]  Yudong Chen,et al.  Incoherence-Optimal Matrix Completion , 2013, IEEE Transactions on Information Theory.

[5]  Gueesang Lee,et al.  Color image segmentation using tensor voting based color clustering , 2012, Pattern Recognit. Lett..

[6]  M. Kilmer,et al.  Tensor-Tensor Products with Invertible Linear Transforms , 2015 .

[7]  Stephan Günnemann,et al.  Introduction to Tensor Decompositions and their Applications in Machine Learning , 2017, ArXiv.

[8]  Tamara G. Kolda,et al.  Scalable Tensor Decompositions for Multi-aspect Data Mining , 2008, 2008 Eighth IEEE International Conference on Data Mining.

[9]  Lu-Bin Cui,et al.  Preconditioned tensor splitting iterations method for solving multi-linear systems , 2019, Appl. Math. Lett..

[10]  Donald Goldfarb,et al.  Robust Low-Rank Tensor Recovery: Models and Algorithms , 2013, SIAM J. Matrix Anal. Appl..

[11]  Kim-Chuan Toh,et al.  A Schur complement based semi-proximal ADMM for convex quadratic conic programming and extensions , 2014, Mathematical Programming.

[12]  G. Golub,et al.  A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies , 2007, Proceedings of the National Academy of Sciences.

[13]  Gaofeng Meng,et al.  Spectral Unmixing via Data-Guided Sparsity , 2014, IEEE Transactions on Image Processing.

[14]  Pan Zhou,et al.  Tensor Factorization for Low-Rank Tensor Completion , 2018, IEEE Transactions on Image Processing.

[15]  Misha Elena Kilmer,et al.  Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging , 2013, SIAM J. Matrix Anal. Appl..

[16]  Ting-Zhu Huang,et al.  Remote sensing images destriping using unidirectional hybrid total variation and nonconvex low-rank regularization , 2020, J. Comput. Appl. Math..

[17]  Qi Xie,et al.  Kronecker-Basis-Representation Based Tensor Sparsity and Its Applications to Tensor Recovery , 2018, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[18]  Yonina C. Eldar,et al.  Simultaneously Structured Models With Application to Sparse and Low-Rank Matrices , 2012, IEEE Transactions on Information Theory.

[19]  Wei Liu,et al.  Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm , 2018, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[20]  Yi Ma,et al.  Robust principal component analysis? , 2009, JACM.

[21]  Ivan Oseledets,et al.  Tensor-Train Decomposition , 2011, SIAM J. Sci. Comput..

[22]  Pablo A. Parrilo,et al.  Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization , 2007, SIAM Rev..

[23]  Benjamin Recht,et al.  A Simpler Approach to Matrix Completion , 2009, J. Mach. Learn. Res..

[24]  Tamara G. Kolda,et al.  Tensor Decompositions and Applications , 2009, SIAM Rev..

[25]  Fumikazu Miwakeichi,et al.  Decomposing EEG Data into Space-Time-Frequency Components Using Parallel Factor Analysis and Its Relation with Cerebral Blood Flow , 2007, ICONIP.

[26]  Li Yan,et al.  An Adaptive Weighted Tensor Completion Method for the Recovery of Remote Sensing Images With Missing Data , 2017, IEEE Transactions on Geoscience and Remote Sensing.

[27]  Emmanuel J. Candès,et al.  Exact Matrix Completion via Convex Optimization , 2009, Found. Comput. Math..

[28]  Wensheng Zhang,et al.  The Twist Tensor Nuclear Norm for Video Completion , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[29]  B. Recht,et al.  Tensor completion and low-n-rank tensor recovery via convex optimization , 2011 .

[30]  Michael K. Ng,et al.  A Corrected Tensor Nuclear Norm Minimization Method for Noisy Low-Rank Tensor Completion , 2019, SIAM J. Imaging Sci..

[31]  Carla D. Martin,et al.  An Order-p Tensor Factorization with Applications in Imaging , 2013, SIAM J. Sci. Comput..

[32]  L. Tucker,et al.  Some mathematical notes on three-mode factor analysis , 1966, Psychometrika.

[33]  Emmanuel J. Candès,et al.  A Singular Value Thresholding Algorithm for Matrix Completion , 2008, SIAM J. Optim..

[34]  Michael K. Ng,et al.  Hyperspectral image denoising with bilinear low rank matrix factorization , 2019, Signal Process..

[35]  Massimiliano Pontil,et al.  A New Convex Relaxation for Tensor Completion , 2013, NIPS.

[36]  Wotao Yin,et al.  Parallel matrix factorization for low-rank tensor completion , 2013, ArXiv.

[37]  Minh N. Do,et al.  Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train , 2016, IEEE Transactions on Image Processing.

[38]  Jieping Ye,et al.  Tensor Completion for Estimating Missing Values in Visual Data , 2013, IEEE Trans. Pattern Anal. Mach. Intell..

[39]  Qiang Jiang,et al.  Robust Low-Tubal-Rank Tensor Completion via Convex Optimization , 2019, IJCAI.

[40]  David Gross,et al.  Recovering Low-Rank Matrices From Few Coefficients in Any Basis , 2009, IEEE Transactions on Information Theory.

[41]  Misha Elena Kilmer,et al.  Novel Methods for Multilinear Data Completion and De-noising Based on Tensor-SVD , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[42]  Xiongjun Zhang,et al.  A Nonconvex Relaxation Approach to Low-Rank Tensor Completion , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[43]  Chunfeng Cui,et al.  An Adaptive Correction Approach for Tensor Completion , 2016, SIAM J. Imaging Sci..

[44]  M. Kilmer,et al.  Factorization strategies for third-order tensors , 2011 .

[45]  Lars Karlsson,et al.  Parallel algorithms for tensor completion in the CP format , 2016, Parallel Comput..

[46]  Andrzej Cichocki,et al.  Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis , 2014, IEEE Signal Processing Magazine.

[47]  Kim-Chuan Toh,et al.  An efficient inexact symmetric Gauss–Seidel based majorized ADMM for high-dimensional convex composite conic programming , 2015, Mathematical Programming.