@article {24114,
	title = {Multi-penalty regularization with a component-wise penalization},
	journal = {Inverse Problems},
	volume = {29},
	year = {2013},
	pages = {15},
	publisher = {IOP Publishing},
	abstract = {We discuss a new regularization scheme for reconstructing the solution of alinear ill-posed operator equation from given noisy data in the Hilbert spacesetting. In this new scheme, the regularized approximation is decomposedinto several components, which are defined by minimizing a multi-penaltyfunctional. We show theoretically and numerically that under a proper choiceof the regularization parameters, the regularized approximation exhibits theso-called compensatory property, in the sense that it performs similar to thebest of the single-penalty regularization with the same penalizing operator.},
	keywords = {inverse problems, parameter choice, Regularization},
	author = {Naumova, Valeriya and Sergei V {Pereverzyev}}
}
