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Department of Mathematical Sciences

Academic Staff

Publication details for Jochen Einbeck

Einbeck, J., Isaac, B., Evers, L. & Parente, A. (2012), Penalized regression on principal manifolds with application to combustion modelling, in Komarek, A. & Nagy, S. eds, 1: International workshop on statistical modelling. Prague, Statistical Modeling Society, Prague, 117-122.

Author(s) from Durham


For multivariate regression problems featuring strong and non–linear
dependency patterns between the involved predictors, it is attractive to reduce
the dimension of the estimation problem by approximating the predictor space
through a principal surface (or manifold). In this work, a new approach for non-
parametric regression onto the fitted manifold is provided. The proposed penal-
ized regression technique is applied onto data from a simulated combustion sys-
tem, and is shown, in this application, to compare well with competing regression