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Localized regression on principal manifolds.

Einbeck, Jochen and Evers, Ludger (2010) 'Localized regression on principal manifolds.', 25th International Workshop on Statistical Modelling. Glasgow, 5-9 July 2010.


We consider nonparametric dimension reduction techniques for multivariate regression problems in which the variables constituting the predictor space are strongly nonlinearly related. Specifically, the predictor space is approximated via ``local'' principal manifolds, based on which a kernel regression is carried out.

Item Type:Conference item (Paper)
Keywords:Smoothing, Principal curves and surfaces, Localized PCA.
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Date of first online publication:July 2010
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