Probabilistic tools for the analysis of randomized optimization heuristics

B Doerr - … of evolutionary computation: Recent developments in …, 2020 - Springer
This chapter collects several probabilistic tools that have proven to be useful in the analysis
of randomized search heuristics. This includes classic material such as the Markov …

A survey on recent progress in the theory of evolutionary algorithms for discrete optimization

B Doerr, F Neumann - ACM Transactions on Evolutionary Learning and …, 2021 - dl.acm.org
The theory of evolutionary computation for discrete search spaces has made significant
progress since the early 2010s. This survey summarizes some of the most important recent …

[KNIHA][B] Evolutionary learning: Advances in theories and algorithms

ZH Zhou, Y Yu, C Qian - 2019 - Springer
Many machine learning tasks involve solving complex optimization problems, such as
working on non-differentiable, non-continuous, and non-unique objective functions; in some …

[KNIHA][B] Analyzing evolutionary algorithms: The computer science perspective

T Jansen - 2013 - Springer
Analyzing Evolutionary Algorithms: The Computer Science Perspective | SpringerLink Skip to
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The first proven performance guarantees for the Non-Dominated Sorting Genetic Algorithm II (NSGA-II) on a combinatorial optimization problem

S Cerf, B Doerr, B Hebras, Y Kahane… - arxiv preprint arxiv …, 2023 - arxiv.org
The Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is one of the most prominent
algorithms to solve multi-objective optimization problems. Recently, the first mathematical …

Tight bounds on the optimization time of a randomized search heuristic on linear functions

C Witt - Combinatorics, Probability and Computing, 2013 - cambridge.org
The analysis of randomized search heuristics on classes of functions is fundamental to the
understanding of the underlying stochastic process and the development of suitable proof …

Runtime analysis for the NSGA-II: proving, quantifying, and explaining the inefficiency for many objectives

W Zheng, B Doerr - IEEE Transactions on Evolutionary …, 2023 - ieeexplore.ieee.org
The NSGA-II is one of the most prominent algorithms to solve multi-objective optimization
problems. Despite numerous successful applications, several studies have shown that the …

Optimal Static and Self-Adjusting Parameter Choices for the Genetic Algorithm

B Doerr, C Doerr - Algorithmica, 2018 - Springer
Abstract The (1+(λ, λ))(1+(λ, λ)) genetic algorithm proposed in Doerr et al.(Theor Comput Sci
567: 87–104, 2015) is one of the few examples for which a super-constant speed-up of the …

Benchmarking discrete optimization heuristics with IOHprofiler

C Doerr, F Ye, N Horesh, H Wang, OM Shir… - Proceedings of the …, 2019 - dl.acm.org
Automated benchmarking environments aim to support researchers in understanding how
different algorithms perform on different types of optimization problems. Such comparisons …

Evolutionary algorithms and submodular functions: benefits of heavy-tailed mutations

F Quinzan, A Göbel, M Wagner, T Friedrich - Natural Computing, 2021 - Springer
A core operator of evolutionary algorithms (EAs) is the mutation. Recently, much attention
has been devoted to the study of mutation operators with dynamic and non-uniform mutation …