Modern regularization techniques for inverse modelling: a comparative study

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dc.contributor.authorKrawczyk-Stańdo, Dorota
dc.contributor.authorRudnicki, Marek
dc.contributor.authorStańdo, Jacek
dc.date.accessioned2015-06-03T11:16:00Z
dc.date.available2015-06-03T11:16:00Z
dc.date.issued2011
dc.description.abstractRegularization techniques are used for computing stable solutions to ill-posed problems. The well-known form of regularization is that of Tikhonov in which the regularized solution is searched as a minimiser of the weighted combination of the residual norm and a side constraint-controlled by the regularization parameter. For the practical choice of regularization parameter we can use the L-curve approach, U-curve criterion introduced by us [1] and empirical risk method [2]. We present a comparative study of different strategies for the regularization parameter choice on examples of function approximation by radial basis neural networks. Such networks are universal approximators and can learn any nonlinear mapping. e.g. representing an magnetic inverse problem. Some integral equations of the first kind are considered as well.en_EN
dc.formatapplication/pdf
dc.identifier.citationJournal of Applied Computer Science., 2011 Vol.19 nr 1 s.51-63
dc.identifier.issn1507-0360
dc.identifier.other0000031100
dc.identifier.urihttp://hdl.handle.net/11652/451
dc.language.isoen
dc.publisherWydawnictwo Politechniki Łódzkiejpl_PL
dc.publisherLodz University of Technology. Pressen_EN
dc.relation.ispartofseriesJournal of Applied Computer Science., 2011 Vol.19 nr 1en_EN
dc.titleModern regularization techniques for inverse modelling: a comparative study
dc.typeArtykuł

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