Linearly convergent bilevel optimization with single-step inner methods

Optimality Conditions for Bilevel Imaging Learning Problems with Total Variation Regularization

(2022) Juan Carlos De los Reyes et al.   SIAM Journal on Imaging Sciences

Gauss–Newton-type methods for bilevel optimization

(2021) Jörg Fliege et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Inexact Derivative-Free Optimization for Bilevel Learning

(2021) Matthias J. Ehrhardt et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Sufficient Optimality Conditions in Bilevel Programming

(2021) Patrick Mehlitz et al.   MATHEMATICS OF OPERATIONS RESEARCH

Directional Necessary Optimality Conditions for Bilevel Programs

(2021) Kuang Bai et al.   MATHEMATICS OF OPERATIONS RESEARCH

Learning the Sampling Pattern for MRI

(2020) Ferdia Sherry et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Acceleration and Global Convergence of a First-Order Primal-Dual Method for Nonconvex Problems

(2019) Christian Clason et al.   SIAM JOURNAL ON OPTIMIZATION

An inertial extrapolation method for convex simple bilevel optimization

(2019) Yekini Shehu et al.   OPTIMIZATION METHODS & SOFTWARE

A bilevel approach for parameter learning in inverse problems

(2018) Gernot Holler et al.   INVERSE PROBLEMS

Testing and Non-linear Preconditioning of the Proximal Point Method

(2018) Tuomo Valkonen   APPLIED MATHEMATICS AND OPTIMIZATION

Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part II: Algorithm, Its Analysis and Numerical Tests

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

A First Order Method for Solving Convex Bilevel Optimization Problems

(2017) Shoham Sabach et al.   SIAM JOURNAL ON OPTIMIZATION

The structure of optimal parameters for image restoration problems

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

Techniques for Gradient-Based Bilevel Optimization with Non-smooth Lower Level Problems

(2016) Peter Ochs et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

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

Solving Ill-posed Bilevel Programs

(2016) Alain B. Zemkoho   Set-Valued and Variational Analysis

Bilevel optimization for calibrating point spread functions in blind deconvolution

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

A primal–dual hybrid gradient method for nonlinear operators with applications to MRI

(2014) Tuomo Valkonen   INVERSE PROBLEMS

A Bilevel Optimization Approach for Parameter Learning in Variational Models

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

Application of particle swarm optimization based on CHKS smoothing function for solving nonlinear bilevel programming problem

(2012) Yan Jiang et al.   APPLIED MATHEMATICS AND COMPUTATION

The bilevel programming problem: reformulations, constraint qualifications and optimality conditions

(2012) S. Dempe et al.   MATHEMATICAL PROGRAMMING

Solving bilevel programs with the KKT-approach

(2012) Gemayqzel Bouza Allende et al.   MATHEMATICAL PROGRAMMING

Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective

(2012) Bingsheng He et al.   SIAM Journal on Imaging Sciences

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

(2010) Antonin Chambolle et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION