Algorithmic versatility of SPF-regularization methods

DOI10.1142/S0219530520400060MaRDI QIDQ5856262

Erin E. Tripp, Li-Xin Shen, Bruce W. Suter

Publication date: 25 March 2021

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05419

zbMATH Keywords

image denoisingDC programmingproximity algorithmssparsity promoting functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (2)

A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction ⋮ A constructive approach for computing the proximity operator of the \(p\)-th power of the \(\ell_1\) norm

Cites Work

• Unnamed Item
• Unnamed Item
• Nearly unbiased variable selection under minimax concave penalty
• DC approximation approaches for sparse optimization
• A primal-dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms
• Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators
• DC programming and DCA: thirty years of developments
• The DC (Difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
• A new primal-dual algorithm for minimizing the sum of three functions with a linear operator
• Structured sparsity promoting functions
• On the global and linear convergence of the generalized alternating direction method of multipliers
• Proximity algorithms for image models: denoising
• Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
• A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• A Statistical View of Some Chemometrics Regression Tools
• The Primal-Dual Hybrid Gradient Method for Semiconvex Splittings
• Minimization of $\ell_{1-2}$ for Compressed Sensing
• A Unified View of Exact Continuous Penalties for $\ell_2$-$\ell_0$ Minimization
• Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
• Proximité et dualité dans un espace hilbertien
• Convex analysis and monotone operator theory in Hilbert spaces
• Compressed sensing
• Robust Statistics

This page was built for publication: Algorithmic versatility of SPF-regularization methods