Browsing Department of Materials Science and Metallurgy by Author "Valkonen, T"

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Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models

De, los Reyes JC; Schönlieb, C-B; Valkonen, T (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 ...
Preconditioned ADMM with nonlinear operator constraint

Benning, Martin; Knoll, F; Schönlieb, CB; Valkonen, T (2016-01-01)
The structure of optimal parameters for image restoration problems

de, los Reyes JC; Schönlieb, CB; Valkonen, T (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 ...