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

The structure of optimal parameters for image restoration problems

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

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

(2016) J. C. De los Reyes et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Bilevel optimization for calibrating point spread functions in blind deconvolution

(2015) Michael Hintermüller et al.   Inverse Problems and Imaging

On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces

(2015) M. Hintermüller 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

Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints

(2013) Michael Hintermüller et al.   MATHEMATICAL PROGRAMMING

A Bilevel Optimization Approach for Parameter Learning in Variational Models

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

Statistical multiresolution Dantzig estimation in imaging: Fundamental concepts and algorithmic framework

(2012) Klaus Frick et al.   Electronic Journal of Statistics

A Multi-Scale Vectorial L τ -TV Framework for Color Image Restoration

(2010) Yiqiu Dong et al.   INTERNATIONAL JOURNAL OF COMPUTER VISION

Expected absolute value estimators for a spatially adapted regularization parameter choice rule inL1-TV-based image restoration

(2010) Michael Hintermüller et al.   INVERSE PROBLEMS

Automated Regularization Parameter Selection in Multi-Scale Total Variation Models for Image Restoration

(2010) Yiqiu Dong et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm

(2009) M. Hintermüller et al.   SIAM JOURNAL ON OPTIMIZATION