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Department of Mathematical Sciences

Academic Staff

Publication details for Jochen Einbeck

Einbeck, Jochen & Evers, Ludger (2010), Localized regression on principal manifolds, in Bowman, Adrian eds, 25th International Workshop on Statistical Modelling. Glasgow, University of Glasgow, Glasgow, 179-184.
  • Publication type: Conference Paper
  • Keywords: Smoothing; principal curves and surfaces; localized PCA.
  • Durham Research Online (DRO) - may include full text

Author(s) from Durham

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.