Linearized alternating direction method with adaptive penalty and warm starts for fast solving transform invariant low-rank textures

DOI10.1007/s11263-013-0611-6zbMath1270.68354arXiv1205.5351OpenAlexW2047798849MaRDI QIDQ361272

Xiang Ren, Zhouchen Lin

Publication date: 29 August 2013

Published in: International Journal of Computer Vision (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5351

zbMATH Keywords

singular value decompositionwarm startlinearized alternating direction method with adaptive penaltytransform invariant low-rank textures

Mathematics Subject Classification ID

Convex programming (90C25) Machine vision and scene understanding (68T45)

Related Items (7)

A Proximal Strictly Contractive Peaceman--Rachford Splitting Method for Convex Programming with Applications to Imaging ⋮ The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates ⋮ Linearized block-wise alternating direction method of multipliers for multiple-block convex programming ⋮ Estimation of the parameters of a weighted nuclear norm model and its application in image denoising ⋮ A parallel primal-dual splitting method for image restoration ⋮ Rician noise removal via weighted nuclear norm penalization ⋮ Symmetric Gauss-Seidel technique-based alternating direction methods of multipliers for transform invariant low-rank textures problem

Uses Software

• RASL

Cites Work

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• For most large underdetermined systems of linear equations the minimal 𝓁₁‐norm solution is also the sparsest solution

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