Fast Randomized Algorithms for t-Product Based Tensor Operations and Decompositions with Applications to Imaging Data
From MaRDI portal
Publication:5236621
DOI10.1137/17M1159932MaRDI QIDQ5236621
Davoud Ataee Tarzanagh, George Michailidis
Publication date: 9 October 2019
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.04362
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (12)
Perturbations of the \textsc{Tcur} decomposition for tensor valued data in the Tucker format ⋮ An efficient algorithm for computing the approximate t-URV and its applications ⋮ Tensor CUR Decomposition under T-Product and Its Perturbation ⋮ Generalized tensor function via the tensor singular value decomposition based on the T-product ⋮ T-Jordan canonical form and T-Drazin inverse based on the T-product ⋮ An efficient randomized fixed-precision algorithm for tensor singular value decomposition ⋮ On some tensor inequalities based on the t-product ⋮ A study on T-eigenvalues of third-order tensors ⋮ Fast randomized matrix and tensor interpolative decomposition using countsketch ⋮ T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming ⋮ \(T_M\)-eigenvalues of odd-order tensors ⋮ Perturbation analysis for t-product-based tensor inverse, Moore-Penrose inverse and tensor system
Cites Work
- Unnamed Item
- Unnamed Item
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Tensor Decompositions and Applications
- Tail inequalities for sums of random matrices that depend on the intrinsic dimension
- Decomposition into low-rank plus additive matrices for background/foreground separation: a review for a comparative evaluation with a large-scale dataset
- Factorization strategies for third-order tensors
- Generalizing the column-row matrix decomposition to multi-way arrays
- Principal component analysis.
- Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
- Exact matrix completion via convex optimization
- Facial Recognition Using Tensor-Tensor Decompositions
- Robust principal component analysis?
- Matrix approximation and projective clustering via volume sampling
- Relative-Error $CUR$ Matrix Decompositions
- Annotated bibliography of three-mode factor analysis
- A Multilinear Singular Value Decomposition
- On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
- Estimation of Graphical Models through Structured Norm Minimization
- Tensor-Based Formulation and Nuclear Norm Regularization for Multienergy Computed Tomography
- Exact Tensor Completion Using t-SVD
- Randomized Robust Subspace Recovery and Outlier Detection for High Dimensional Data Matrices
- Provable Subspace Clustering: When LRR Meets SSC
- Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging
- Tensor-CUR Decompositions for Tensor-Based Data
- Tensor and its tucker core: The invariance relationships
- Fast Monte Carlo Algorithms for Matrices I: Approximating Matrix Multiplication
- Third-order tensors as linear operators on a space of matrices
This page was built for publication: Fast Randomized Algorithms for t-Product Based Tensor Operations and Decompositions with Applications to Imaging Data