T:A:L:K:S

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title:
Variational Inequalities and Morozov\'s Discrepancy Principle
name:
Anzengruber
first name:
Stephan
location/conference:
cssip10
PRESENTATION-link:
http://www.dfg-spp1324.de/nuhagtools/event/dateien/talks_cssip/anzengruber.pdf
abstract:
Variational Inequalities can be viewed as generalizations of classical source conditions and structural assumptions.
In this talk we will show how, for non-linear ill-posed problems, Variational Inequalities can be combined with Morozov\'s Discrepancy principle to obtain convergence rates for Tikhonov Regularization with $\ell_p$ penalties, $p \geq 1$, which are well-known to promote sparsity.