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- W751127851 abstract "Appropriate error estimation for regularization methods i n imaging and inverse problems is of enor- mous importance for controlling approximation properties and understanding types of solutions that are particularly favoured. In the case of linear problems, i.e., variational methods with quadratic fidelity and quadratic regulariza- tion, the error estimation is well-understood under so-cal led source conditions. Significant progress for nonquadrat ic regularization functionals has been made recently after th e introduction of the Bregman distance as an appropriate error measure. The other important generalization, namely for nonquadratic fidelities, has not been analyzed so far. In this paper we develop a framework for the derivation of error estimates in the case of rather general fidelities and highlight the importance of duality for the shape of the estimates. We then specialize the approach for several important fidelities in imaging ( L 1 , Kullback-Leibler)." @default.
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- W751127851 date "2011-01-01" @default.
- W751127851 modified "2023-09-27" @default.
- W751127851 title "ERROR ESTIMATES FOR GENERAL FIDELITIES" @default.
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