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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, November 10, 2022, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Johannes Lengler

I will discuss drift analysis in the case where we have a two-dimensional non-negative Markov chain X = (X_1,X_2) where the drift (= expected change) is essentially linear in X. More precisely, there is a 2x2 matrix A such that the drift is proportional to (1\pm o(1))A*X, where * here denotes a matrix-scalar product, and the factor (1\pm o(1)) is applied to all four summands of that product. We are interested in the hitting time of (0,0). I will show that this kind of processes allows a general solution that depends on the eigenvalues of A.

As motivation, I will present a minimal example of a dynamic environment which can be decpetive for evolutionary algorithms, thus answering a question by Emo Welzl.

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

Previous talks by year: 2022 2021 2020 2019 2018 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