Bilevel Imaging Learning Problems as Mathematical Programs with Complementarity Constraints: Reformulation and Theory

Bilevel Parameter Learning for Nonlocal Image Denoising Models

(2021) M. D’Elia et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Analysis and automatic parameter selection of a variational model for mixed Gaussian and Salt & Pepper noise removal

(2019) Luca Calatroni et al.   INVERSE PROBLEMS

One dimensional fractional order $TGV$: gamma-convergence and bilevel training scheme

(2018) Elisa Davoli et al.   Communications in Mathematical Sciences

Learning optimal spatially-dependent regularization parameters in total variation image denoising

(2017) Cao Van Chung et al.   INVERSE PROBLEMS

Analytical aspects of spatially adapted total variation regularisation

(2017) Michael Hintermüller et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part I: Modelling and Theory

(2017) Michael Hintermüller et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

The structure of optimal parameters for image restoration problems

(2016) J.C. De Los Reyes et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Image denoising: Learning the noise model via nonsmooth PDE-constrained optimization

(2013) Juan Carlos De los Reyes et al.   Inverse Problems and Imaging

A Bilevel Optimization Approach for Parameter Learning in Variational Models

(2013) Karl Kunisch et al.   SIAM Journal on Imaging Sciences

Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints

(2012) Lei Guo et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Second order total generalized variation (TGV) for MRI

(2010) Florian Knoll et al.   MAGNETIC RESONANCE IN MEDICINE

Total Generalized Variation

(2010) Kristian Bredies et al.   SIAM Journal on Imaging Sciences