Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization
From MaRDI portal
Publication:5089331
DOI10.1080/01630563.2022.2069812OpenAlexW3005590813MaRDI QIDQ5089331
Carlos N. Rautenberg, Kostas Papafitsoros, Michael Hintermüller, Hong Peng Sun
Publication date: 19 July 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.05614
Related Items (9)
Optimality Conditions for Bilevel Imaging Learning Problems with Total Variation Regularization ⋮ Bilevel Training Schemes in Imaging for Total Variation--Type Functionals with Convex Integrands ⋮ A non-convex denoising model for impulse and Gaussian noise mixture removing using bi-level parameter identification ⋮ An investigation on semismooth Newton based augmented Lagrangian method for image restoration ⋮ An improved bilevel optimization approach for image super-resolution based on a fractional diffusion tensor ⋮ Bilevel optimal parameter learning for a high-order nonlocal multiframe super-resolution problem ⋮ Learning Regularization Parameter-Maps for Variational Image Reconstruction Using Deep Neural Networks and Algorithm Unrolling ⋮ An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization ⋮ An efficient augmented Lagrangian method with semismooth Newton solver for total generalized variation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- A study of the one dimensional total generalised variation regularisation problem
- Some remarks on the staircasing phenomenon in total variation-based image denoising
- Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case
- Regularization of linear inverse problems with total generalized variation
- Bilevel parameter learning for higher-order total variation regularisation models
- Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case
- The structure of optimal parameters for image restoration problems
- Functions of bounded deformation
- Regularity and stability for the mathematical programming problem in Banach spaces
- Image recovery via total variation minimization and related problems
- Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory
- Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests
- Higher-order TV methods -- enhancement via Bregman iteration
- Variable step mollifiers and applications
- Exact solutions of one-dimensional total generalized variation
- Analytical aspects of spatially adapted total variation regularisation
- On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces
- The jump set under geometric regularisation. II: Higher-order approaches
- A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part I: Analytics
- A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part II: Numerics
- Spatially dependent regularization parameter selection in total generalized variation models for image restoration
- Total Generalized Variation in Diffusion Tensor Imaging
- A Total Variation–Based JPEG Decompression Model
- Geometric properties of solutions to the total variation denoising problem
- Infimal Convolution of Data Discrepancies for Mixed Noise Removal
- Generating structured nonsmooth priors and associated primal-dual methods
- Asymptotic Behaviour of Total Generalised Variation
- The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
- Two-Point Step Size Gradient Methods
- Structural Properties of Solutions to Total Variation Regularization Problems
- Bilevel approaches for learning of variational imaging models
- Density of convex intersections and applications
- A function space framework for structural total variation regularization with applications in inverse problems
- Total Generalized Variation for Manifold-Valued Data
- Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem
- On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction
- Analysis and automatic parameter selection of a variational model for mixed Gaussian and salt-and-pepper noise removal
- Learning optimal spatially-dependent regularization parameters in total variation image denoising
- Path-following Methods for a Class of Constrained Minimization Problems in Function Space
- An Infeasible Primal-Dual Algorithm for Total Bounded Variation--Based Inf-Convolution-Type Image Restoration
- Total Generalized Variation
This page was built for publication: Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization
