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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, June 19, 2018, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G51

**Speaker**: Johannes Lengler

Evolutionary Algorithms (EAs) are widely used heuristics to find the optimum of a pseudo-Boolean function f: {0,1}^n -> R. We call f monotone if f(x) < f(y) for any different x,y in {0,1}^n such that y is componentwise at least as big as y. Monotone functions are trivial to optimise: the optimum is always at (1,...,1), there are no other local optima, and from every starting point there is a short increasing path to the optimum. Thus it seems that EAs should be able to find the optimum efficiently. However, this is not the case. Doerr, Jansen, Sudholt, Winzen, and Zarges were the first to discover a case where EAs which mutate too aggressively need exponential time to optimise some monotone functions.

In this talk, we show that this is not an isolated example. Rather, there is a general dichotomy for large classes of mutation-based EAs: if they mutate too aggressively, then they need exponential time; if they mutate more carefully then they are efficient. However, the picture changes completely for EAs that also use crossover between different search points. They are always efficient, no matter how aggressively their mutation operator is.

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

Previous talks by year: 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