Date of Award
Master of Science
Wei Wei, Peter Hinow
Finding low-dimensional approximations to high-dimensional data is one of
the most important topics in statistics, which has also multiple applications
in economics, engineering and science. One suggestion in the literature ,based
on kernel smoothing, is a non-linear generalization of principal components.
This kernel-based approach comes with several complications. Therefore the
purpose of this thesis is to provide an alternative based on spline smoothing
which produces more reliable results.
Walther, Marcel Andreas, "Spline Estimation of Principal Curves" (2016). Theses and Dissertations. 1222.