CSSE Seminar Series (CSSESS)
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Seminar
Locating a median strip in the plane
Speaker
Robert Schieweck
Institute
University of Göttingen
Time & Place
3:30pm, Fri., 8 Feb., in 111, Erskine Building
All are welcome
Abstract
In this talk a method is described to find a strip in the plane which approximates
a given finite set of points as good as possible. A strip may be viewed as a
generalization of a straight line in contrast to which it has a certain width. The
objective function to be minimized is the sum of distances of the points to the strip.
This generalizes the classical median line location problem and hence the regression
estimators obtained by classical line location. First, a finite candidate set for
the underlying continuous problem is derived and then a brute-force enumeration of
the candidates is enhanced by a plane sweeping method from computational geometry.
Biography
Robert Schieweck is a PhD student supervised by Prof. Anita Schöbel from the University of Göttingen. He also received his Diploma of Mathematics (comparable to MSc) in Göttingen. He has been working on problems in the field of location theory and robust statistics for two years now. His main interest is in robustly locating lines in the presence of outliers with applications in latent class regression.
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