J. C. de los Reyes

activity

20122023

most citedBilevel parameter learning for higher-order total variation regularisation models

87 citations · 197 across the 13 of their papers we have counts for

collaborators

Showing 2014 · math.OCShow all

3 papers · 2 filters

math.OC2014

Second-order orthant-based methods with enriched Hessian information for sparse $ℓ_{1}$ -optimization

J. C. De los Reyes, E. Loayza, P. Merino

We present a second order algorithm, based on orthantwise directions, for solving optimization problems involving the sparsity enhancing $ℓ_{1}$ -norm. The main idea of our method…

math.OC2014

Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the 2nd kind

Juan-Carlos De Los Reyes, Christian Meyer

We investigate optimality conditions for optimization problems constrained by a class of variational inequalities of the second kind. Based on a nonsmooth primal-dual reformulation…

math.OC2014★ 2 cited

Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints

Luca Calatroni, Juan Carlos De Los Reyes, Carola-Bibiane Schönlieb

We consider the bilevel optimisation approach proposed by De Los Reyes, Schönlieb (2013) for learning the optimal parameters in a Total Variation (TV) denoising model featuring for…

Second-order orthant-based methods with enriched Hessian information for sparse ℓ1​-optimization

Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the 2nd kind

Dynamic sampling schemes for optimal noise learning under multiple nonsmooth constraints

Second-order orthant-based methods with enriched Hessian information for sparse $ℓ_{1}$ -optimization