Recovering low-rank tensor from limited coefficients in any ortho-normal basis using tensor-singular value decomposition

[1]  Emmanuel J. Candès,et al.  The Power of Convex Relaxation: Near-Optimal Matrix Completion , 2009, IEEE Transactions on Information Theory.

[2]  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.

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

[4]  Jie Li,et al.  Low-Rank Tensor Completion for Image and Video Recovery via Capped Nuclear Norm , 2019, IEEE Access.

[5]  Junbin Gao,et al.  Subspace Clustering via Learning an Adaptive Low-Rank Graph , 2018, IEEE Transactions on Image Processing.

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

[7]  Wenbo Mei,et al.  Dynamic MRI Reconstruction Exploiting Partial Separability and t-SVD , 2019, 2019 IEEE 7th International Conference on Bioinformatics and Computational Biology ( ICBCB).

[8]  Wenbo Mei,et al.  Dynamic MR Image Reconstruction From Highly Undersampled (k, t)-Space Data Exploiting Low Tensor Train Rank and Sparse Prior , 2020, IEEE Access.

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

[10]  Huiqian Du,et al.  Dynamic MRI Reconstruction Using Tensor-SVD , 2018, 2018 14th IEEE International Conference on Signal Processing (ICSP).

[11]  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..

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

[13]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

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

[15]  Yachao Li,et al.  Stepped-frequency inverse synthetic aperture radar imaging based on adjacent pulse correlation integration and coherent processing , 2011 .

[16]  Ce Zhu,et al.  Low Rank Tensor Completion for Multiway Visual Data , 2018, 1805.03967.

[17]  V. Aggarwal,et al.  Efficient Low Rank Tensor Ring Completion , 2017, 2017 IEEE International Conference on Computer Vision (ICCV).

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

[19]  Jong Chul Ye,et al.  k‐t FOCUSS: A general compressed sensing framework for high resolution dynamic MRI , 2009, Magnetic resonance in medicine.

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

[21]  Joel A. Tropp,et al.  User-Friendly Tail Bounds for Sums of Random Matrices , 2010, Found. Comput. Math..

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

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

[24]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[25]  Ashraf A. Kassim,et al.  Dynamic MRI reconstruction using low rank plus sparse tensor decomposition , 2016, 2016 IEEE International Conference on Image Processing (ICIP).

[26]  Karen S. Braman Third-Order Tensors as Linear Operators on a Space of Matrices , 2010 .

[27]  M. Haardt,et al.  Robust methods based on the hosvd for estimating the model order in PARAFAC models , 2008, 2008 5th IEEE Sensor Array and Multichannel Signal Processing Workshop.

[28]  Justin P. Haldar,et al.  Image Reconstruction From Highly Undersampled $( {\bf k}, {t})$-Space Data With Joint Partial Separability and Sparsity Constraints , 2012, IEEE Transactions on Medical Imaging.

[29]  Michael Lustig,et al.  k-t SPARSE: High frame rate dynamic MRI exploiting spatio-temporal sparsity , 2006 .

[30]  Mathews Jacob,et al.  Accelerated Dynamic MRI Exploiting Sparsity and Low-Rank Structure: k-t SLR , 2011, IEEE Transactions on Medical Imaging.

[31]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[32]  Lei Huang,et al.  Core consistency diagnostic aided by reconstruction error for accurate enumeration of the number of components in parafac models , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

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

[34]  Shuicheng Yan,et al.  Exact Low Tubal Rank Tensor Recovery from Gaussian Measurements , 2018, IJCAI.

[35]  David Atkinson,et al.  Dynamic MR Image Reconstruction–Separation From Undersampled (${\bf k},t$)-Space via Low-Rank Plus Sparse Prior , 2014, IEEE Transactions on Medical Imaging.

[36]  Rudolf Ahlswede,et al.  Strong converse for identification via quantum channels , 2000, IEEE Trans. Inf. Theory.

[37]  Amit Singer,et al.  Uniqueness of Low-Rank Matrix Completion by Rigidity Theory , 2009, SIAM J. Matrix Anal. Appl..

[38]  Yicheng Jiang,et al.  Inverse synthetic aperture radar imaging of three-dimensional rotation target based on two-order match Fourier transform , 2012, IET Signal Process..

[39]  Eric L. Miller,et al.  Tensor-Based Formulation and Nuclear Norm Regularization for Multienergy Computed Tomography , 2013, IEEE Transactions on Image Processing.

[40]  Huiqian Du,et al.  MR image reconstruction using cosupport constraints and group sparsity regularisation , 2017, IET Image Process..

[41]  E. Tyrtyshnikov,et al.  TT-cross approximation for multidimensional arrays , 2010 .

[42]  Aurobinda Routray,et al.  Efficient tensor decomposition approach for estimation of the number of endmembers in a hyperspectral image , 2020, Journal of Applied Remote Sensing.

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