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Regularized semiparametric model identification with application to nuclear magnetic resonance signal quantification with unknown macromolecular base-line

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We formulate and solve a semiparametric fitting problem with regularization constraints. The model that we focus on is composed of a parametric non-linear part and a nonparametric part that can be reconstructed via splines. Regularization is employed to impose a certain degree of smoothness on the nonparametric part. Semiparametric regression is presented as a generalization of non-linear regression, and all important differences that arise from the statistical and computational points of view are highlighted. We motivate the problem formulation with a biomedical signal processing application.
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Keywords: Non-linear regression; Regularization; Semiparametric regression; Smoothing; Splines

Document Type: Research Article

Affiliations: Katholieke Universiteit Leuven, Belgium

Publication date: 01 June 2006

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