Localized regression on principal manifolds

Einbeck, Jochen; Evers, Ludger

Localized regression on principal manifolds

Einbeck, Jochen; Evers, Ludger

Authors

Professor Jochen Einbeck jochen.einbeck@durham.ac.uk
Professor

Ludger Evers

Contributors

Adrian Bowman
Editor

Abstract

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.

Citation

Einbeck, J., & Evers, L. (2010). Localized regression on principal manifolds. In A. Bowman (Ed.),

Conference Name	25th International Workshop on Statistical Modelling.
Conference Location	Glasgow
Start Date	Jul 5, 2010
End Date	Jul 9, 2010
Publication Date	Jul 1, 2010
Deposit Date	Jan 13, 2011
Publicly Available Date	Oct 25, 2011
Publisher	University of Glasgow
Pages	179-184
Keywords	Smoothing, Principal curves and surfaces, Localized PCA.
Public URL	https://durham-repository.worktribe.com/output/1159171
Publisher URL	http://www.statmod.org/