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Chapter and Conference Paper
Approximation Speed-Up by Quadratization on LeadingOnes
We investigate the quadratization of LeadingOnes in the context of the landscape for local search. We prove that a standard quadratization (i.e., its expression as a degree-2 multilinear polynomial) of LeadingOne...
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Chapter and Conference Paper
Runtime Analysis of Evolutionary Algorithms for the Knapsack Problem with Favorably Correlated Weights
We rigorously analyze the runtime of evolutionary algorithms for the classical knapsack problem where the weights are favorably correlated with the profits. Our result for the (
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Chapter and Conference Paper
Graceful Scaling on Uniform Versus Steep-Tailed Noise
Recently, different evolutionary algorithms (EAs) have been analyzed in noisy environments. The most frequently used noise model for this was additive posterior noise (noise added after the fitness evaluation)...
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Chapter and Conference Paper
Emergence of Diversity and Its Benefits for Crossover in Genetic Algorithms
Population diversity is essential for avoiding premature convergence in Genetic Algorithms (GAs) and for the effective use of crossover. Yet the dynamics of how diversity emerges in populations are not well un...
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Chapter and Conference Paper
On the Robustness of Evolving Populations
Most theoretical work that studies the benefit of recombination focuses on the ability of crossover to speed up optimization time on specific search problems. In this paper, we take a slightly different perspe...
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Chapter and Conference Paper
The Benefit of Recombination in Noisy Evolutionary Search
Practical optimization problems frequently include uncertainty about the quality measure, for example due to noisy evaluations. Thus, they do not allow for a straightforward application of traditional optimiza...
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Chapter and Conference Paper
Runtime Analysis of Evolutionary Algorithms on Randomly Constructed High-Density Satisfiable 3-CNF Formulas
We show that simple mutation-only evolutionary algorithms find a satisfying assignment on two similar models of random planted 3-CNF Boolean formulas in polynomial time with high probability in the high constr...
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Chapter and Conference Paper
A Parameterized Runtime Analysis of Simple Evolutionary Algorithms for Makespan Scheduling
We consider simple multi-start evolutionary algorithms applied to the classical NP-hard combinatorial optimization problem of Makespan Scheduling on two machines. We study the dependence of the runtime of this ty...