A Semi-smooth Newton Method for Regularized State-constrained Optimal Control of the Navier-Stokes Equations. - Juan Carlos de los Reyes; Karl Kunisch (Computing, 2006)

Primal-dual active set method for control constrained optimal control of the Stokes equations. - Juan Carlos de los Reyes (Optim. Methods Softw., 2006)

Optimal Control of the Stationary Navier–Stokes Equations with Mixed Control-State Constraints. - Juan Carlos de los Reyes; Fredi Tröltzsch (SIAM J. Control. Optim., 2007)

Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints. - Eduardo Casas; Juan Carlos de los Reyes; Fredi Tröltzsch (SIAM J. Optim., 2008)

Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods. - Juan Carlos de los Reyes; Sergio González Andrade (J. Comput. Appl. Math., 2010)

A balanced truncation-based strategy for optimal control of evolution problems. - Juan Carlos de los Reyes; Tatjana Stykel (Optim. Methods Softw., 2011)

Optimal Control of a Class of Variational Inequalities of the Second Kind. - Juan Carlos de los Reyes (SIAM J. Control. Optim., 2011)

Optimization of mixed variational inequalities arising in flow of viscoplastic materials. - Juan Carlos de los Reyes (Comput. Optim. Appl., 2012)

Dynamic Sampling Schemes for Optimal Noise Learning Under Multiple Nonsmooth Constraints. - Luca Calatroni; Juan Carlos de los Reyes; Carola-Bibiane Schönlieb (System Modelling and Optimization, 2013)

One-shot methods in function space for PDE-constrained optimal control problems. - Lena Kaland; Juan Carlos de los Reyes; Nicolas R. Gauger (Optim. Methods Softw., 2014)

Optimal control of electrorheological fluids through the action of electric fields. - Juan Carlos de los Reyes; Irwin Yousept (Comput. Optim. Appl., 2015)

Bilevel approaches for learning of variational imaging models. - Luca Calatroni; Cao Chung; Juan Carlos de los Reyes; Carola-Bibiane Schönlieb; Tuomo Valkonen (CoRR, 2015)

The structure of optimal parameters for image restoration problems. - Juan Carlos de los Reyes; Carola-Bibiane Schönlieb; Tuomo Valkonen (CoRR, 2015)

Strong Stationarity Conditions for a Class of Optimization Problems Governed by Variational Inequalities of the Second Kind. - Juan Carlos de los Reyes; Christian Meyer 001 (J. Optim. Theory Appl., 2016)

Error estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow. - Juan Carlos de los Reyes; Vili Dhamo (Numerische Mathematik, 2016)

Optimal Control of Static Elastoplasticity in Primal Formulation. - Juan Carlos de los Reyes; Roland Herzog; Christian Meyer 001 (SIAM J. Control. Optim., 2016)

Second-order orthant-based methods with enriched Hessian information for sparse ( ell _1 ) -optimization. - Juan Carlos de los Reyes; E. Loayza; Pedro Merino 002 (Comput. Optim. Appl., 2017)

Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models. - Juan Carlos de los Reyes; Carola-Bibiane Schönlieb; Tuomo Valkonen (J. Math. Imaging Vis., 2017)

Infimal Convolution of Data Discrepancies for Mixed Noise Removal. - Luca Calatroni; Juan Carlos de los Reyes; Carola-Bibiane Schönlieb (SIAM J. Imaging Sci., 2017)

A Nonsmooth Trust-Region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities. - Constantin Christof; Juan Carlos de los Reyes; Christian Meyer 001 (SIAM J. Optim., 2020)

Learning the Sampling Pattern for MRI. - Ferdia Sherry; Martin Benning; Juan Carlos de los Reyes; Martin J. Graves; Georg Maierhofer; Guy B. Williams; Carola-Bibiane Schönlieb; Matthias Joachim Ehrhardt (IEEE Trans. Medical Imaging, 2020)

Bilevel Imaging Learning Problems as Mathematical Programs with Complementarity Constraints. - Juan Carlos de los Reyes; David Villacis (CoRR, 2021)

Bilevel Parameter Learning for Nonlocal Image Denoising Models. - Marta D'Elia; Juan Carlos de los Reyes; Andrés Miniguano-Trujillo (J. Math. Imaging Vis., 2021)

Optimality Conditions for Bilevel Imaging Learning Problems with Total Variation Regularization. - Juan Carlos de los Reyes; David Villacis (SIAM J. Imaging Sci., 2022)

Bilevel Imaging Learning Problems as Mathematical Programs with Complementarity Constraints: Reformulation and Theory. - Juan Carlos de los Reyes (SIAM J. Imaging Sci., 2023)