The Geometry of Sparse Analysis Regularization

DOI10.1137/19m1271877zbMath1528.90188arXiv1907.01769MaRDI QIDQ6158006

Xavier Dupuis, Samuel Vaiter

Publication date: 22 June 2023

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01769

zbMATH Keywords

geometryuniquenessregularizationsparsity

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• The solution path of the generalized lasso
• A simple characterization of solutions sets of convex programs
• Maximal solutions of sparse analysis regularization
• The cosparse analysis model and algorithms
• Least angle regression. (With discussion)
• On characterizing the solution sets of pseudolinear programs
• A first-order primal-dual algorithm for convex problems with applications to imaging
• The Lasso problem and uniqueness
• Sparse regression with exact clustering
• The generalized Lasso problem and uniqueness
• On the distribution, model selection properties and uniqueness of the Lasso estimator in low and high dimensions
• A unifying representer theorem for inverse problems and machine learning
• Local behavior of sparse analysis regularization: applications to risk estimation
• One condition for solution uniqueness and robustness of both \(\ell_1\)-synthesis and \(\ell_1\)-analysis minimizations
• Some results on Tchebycheffian spline functions and stochastic processes
• Characterization of solution sets of convex programs
• Robust Sparse Analysis Regularization
• Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes
• Minimum-support solutions of polyhedral concave programs^*
• Lectures on Polytopes
• On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs
• Sparsity and Smoothness Via the Fused Lasso
• Oriented Matroids
• On Representer Theorems and Convex Regularization
• Analysis versus synthesis in signal priors
• Convex Analysis
• A Class of Convex Bodies
• The maximum numbers of faces of a convex polytope

This page was built for publication: The Geometry of Sparse Analysis Regularization