Efficient low-rank regularization-based algorithms combining advanced techniques for solving tensor completion problems with application to color image recovering

DOI10.1016/j.cam.2022.114947zbMath1503.65091OpenAlexW4310075495MaRDI QIDQ2112681

Xueshuang Ma, Jie Wang, Sheng-Long Hu

Publication date: 11 January 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114947

zbMATH Keywords

global convergencediscrete cosine transformtensor completion\(\varepsilon\)-sparsity indexbalanced matricizationket augmentation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Multilinear algebra, tensor calculus (15A69) Matrix completion problems (15A83) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Cites Work

• Tensor-Train Decomposition
• Image restoration from a downsampled image by using the DCT
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• Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
• Weighted nuclear norm minimization and its applications to low level vision
• Iterative \(p\)-shrinkage thresholding algorithm for low Tucker rank tensor recovery
• Low-rank tensor train for tensor robust principal component analysis
• Remote sensing images destriping using unidirectional hybrid total variation and nonconvex low-rank regularization
• Exact matrix completion via convex optimization
• Riemannian Optimization for High-Dimensional Tensor Completion
• Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems
• Global Convergence of Splitting Methods for Nonconvex Composite Optimization
• Tensor Completion in Hierarchical Tensor Representations
• Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
• Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train
• Discrete Cosine Transform

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