We study the discretization of inverse problems defined by a Carleman operator. In particular we develop a discretization strategy for this class of inverse problems and we give a convergence analysis. Learning from examples as well as the discretization of integral equations can be analysed in our setting.
Discretization Error Analysis for Tikhonov Regularization in Learning Theory / DE VITO, Ernesto; A., Caponnetto; L., Rosasco. - In: ANALYSIS AND APPLICATIONS. - ISSN 0219-5305. - STAMPA. - 4:(2006), pp. 81-99.
Discretization Error Analysis for Tikhonov Regularization in Learning Theory
DE VITO, Ernesto;
2006
Abstract
We study the discretization of inverse problems defined by a Carleman operator. In particular we develop a discretization strategy for this class of inverse problems and we give a convergence analysis. Learning from examples as well as the discretization of integral equations can be analysed in our setting.
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