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. |