1 citations · 2 across the 5 of their papers we have counts for
5 papers
-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models
Javier Cueto, Carolin Kreisbeck, Hidde Schönberger
This work revolves around the rigorous asymptotic analysis of models in nonlocal hyperelasticity. The corresponding variational problems involve integral functionals depending on n…
Nonlocal gradients: Fundamental theorem of calculus, Poincaré inequalities and embeddings
José Carlos Bellido, Carlos Mora-Corral, Hidde Schönberger
We address the study of nonlocal gradients defined through general radial kernels . Our investigation focuses on the properties of the associated function spaces, which depend o…
Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems
Carolin Kreisbeck, Hidde Schönberger
This work revolves around properties and applications of functions whose nonlocal gradient, or more precisely, finite-horizon fractional gradient, vanishes. Surprisingly, in contra…
A variational theory for integral functionals involving finite-horizon fractional gradients
Javier Cueto, Carolin Kreisbeck, Hidde Schönberger
The center of interest in this work are variational problems with integral functionals depending on special nonlocal gradients. The latter correspond to truncated versions of the R…
Structural changes in nonlocal denoising models arising through bi-level parameter learning
Elisa Davoli, Rita Ferreira, Carolin Kreisbeck +1
We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regu…