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The structure of optimal parameters for image restoration problems
(ElsevierJournal of Mathematical Analysis and Applications, 2015-09-16)
We study the qualitative properties of optimal regularisation parameters in variational models for image restoration. The parameters are solutions of bilevel optimisation problems with the image restoration problem as ...
Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models
(SpringerJournal of Mathematical Imaging and Vision, 2016-06-01)
We consider a bilevel optimisation approach for parameter learning in higher-order total variation image reconstruction models. Apart from the least squares cost functional, naturally used in bilevel learning, we propose ...