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Adaptive Image Processing: First Order PDE Constraint Regularizers and a Bilevel Training Scheme
Elisa Davoli1, Irene Fonseca2, Pan Liu3
1Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria.
Abstract
None:
A bilevel training scheme is used to introduce a novel class of regularizers, providing a unified approach to standard regularizers and . Optimal parameters and regularizers are identified, and the existence of a solution for any given set of training imaging data is proved by -convergence under a conditional uniform bound on the trace constant of the operators and a finite-null-space condition. Some first examples and numerical results are given.

