Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Thursday, November 09, 2017, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Patrick Schnider

Measures of depth for multiple points

Given a set P of n points in the plane, there are several concepts that measure how deep within the point set a query point p lies. One of the more famous of these concepts is the notion of Tukey depth: among all the halfplanes containing the query point p, consider one which contains the fewest points of P. The number of points of P that it contains is the Tukey depth of p. The famous centerpoint theorem assures the existence of some point, not necessarily from P, that has Tukey depth n/3. A point of high Tukey depth can be viewed as a median in higher dimensions, that is, as a representative of the whole point set. This talk is motivated by the following question: what if instead of one representative, we are instead interested in some small number of representatives? We consider several definitions of depth measures for multiple points instead of one and show the existence of deep points under these definitions. This is joint work with Alexander Pilz.


Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks


Automatic MiSe System Software Version 1.4803M   |   admin login