$\alpha \ell_1 - \beta \ell_2$ sparsity regularization for nonlinear ill-posed problems

Cites Work

Title not available (Why is that?)
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
Regularization methods in Banach spaces.
Iterative hard thresholding for compressed sensing
A generalized conditional gradient method and its connection to an iterative shrinkage method
Variational methods in imaging
Theoretical foundations and numerical methods for sparse recovery. Papers based on the presentations of the summer school ``Theoretical foundations and numerical methods for sparse recovery, Vienna, Austria, August 31 -- September 4, 2009.
Global convergence of ADMM in nonconvex nonsmooth optimization
Fast L1-L2 minimization via a proximal operator
Well-posedness and convergence rates for sparse regularization with sublinear $l^q$ penalty term
Tikhonov regularization with ${\ell^{0}}$-term complementing a convex penalty: ${\ell^{1}}$-convergence under sparsity constraints
Minimization of non-smooth, non-convex functionals by iterative thresholding
Gradient descent for Tikhonov functionals with sparsity constraints: theory and numerical comparison of step size rules
On the minimization of a Tikhonov functional with a non-convex sparsity constraint
A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints
Sparsity-enforcing regularisation and ISTA revisited
Landweber-Kaczmarz method in Banach spaces with inexact inner solvers
A global minimization algorithm for Tikhonov functionals with $p$-convex $(p \geqslant 2)$ penalty terms in Banach spaces
Multi-parameter Tikhonov regularization with the $\ell^0$ sparsity constraint
Sparsity constrained nonlinear optimization: optimality conditions and algorithms
Sparse Approximation using $\ell_1-\ell_2$ Minimization and Its Application to Stochastic Collocation
Flexible sparse regularization
Compressed Sensing With Nonlinear Observations and Related Nonlinear Optimization Problems
Regularization with non-convex separable constraints
Sparse regularization with l ^q penalty term
On Tikhonov regularization with non-convex sparsity constraints
Sparsity-Promoting Sensor Selection for Non-Linear Measurement Models
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
Sparsity regularization for parameter identification problems
Sparsity regularization in inverse problems
ℓ ₁ − αℓ ₂ minimization methods for signal and image reconstruction with impulsive noise removal
L 1/2 regularization
$ \newcommand{\e}{{\rm e}} {\alpha\ell_{1}-\beta\ell_{2}}$ regularization for sparse recovery
Modern regularization methods for inverse problems
Minimization of $\ell_{1-2}$ for Compressed Sensing
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints
A variational approach to sparsity optimization based on Lagrange multiplier theory
A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
Signal Recovery by Proximal Forward-Backward Splitting
Tikhonov replacement functionals for iteratively solving nonlinear operator equations
Some elementary examples in nonlinear operator theory

This page was built for publication: $\alpha \ell_1 - \beta \ell_2$ sparsity regularization for nonlinear ill-posed problems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6581955)

\(\alpha \ell_1 - \beta \ell_2\) sparsity regularization for nonlinear ill-posed problems