Search Results for author: Martin S. Krejca

Found 11 papers, 3 papers with code

Superior Genetic Algorithms for the Target Set Selection Problem Based on Power-Law Parameter Choices and Simple Greedy Heuristics

2 code implementations5 Apr 2024 Benjamin Doerr, Martin S. Krejca, Nguyen Vu

Besides providing a superior algorithm for the TSS problem, this work shows that randomized parameter choices and elementary greedy heuristics can give better results than complex algorithms and costly parameter tuning.

Q-Learning

A Flexible Evolutionary Algorithm With Dynamic Mutation Rate Archive

no code implementations5 Apr 2024 Martin S. Krejca, Carsten Witt

We propose a new, flexible approach for dynamically maintaining successful mutation rates in evolutionary algorithms using $k$-bit flip mutations.

Evolutionary Algorithms

Bivariate Estimation-of-Distribution Algorithms Can Find an Exponential Number of Optima

1 code implementation6 Oct 2023 Benjamin Doerr, Martin S. Krejca

We show that the bivariate EDA mutual-information-maximizing input clustering, without any problem-specific modification, quickly generates a model that behaves very similarly to a theoretically ideal model for EBOM, which samples each of the exponentially many optima with the same maximal probability.

Evolutionary Algorithms

Estimation-of-Distribution Algorithms for Multi-Valued Decision Variables

no code implementations28 Feb 2023 Firas Ben Jedidia, Benjamin Doerr, Martin S. Krejca

Roughly speaking, when the variables take $r$ different values, the time for genetic drift to become significant is $r$ times shorter than in the binary case.

Lasting Diversity and Superior Runtime Guarantees for the $(μ+1)$ Genetic Algorithm

no code implementations24 Feb 2023 Benjamin Doerr, Aymen Echarghaoui, Mohammed Jamal, Martin S. Krejca

From this better understanding of the population diversity, we obtain stronger runtime guarantees, among them the statement that for all $c\ln(n)\le\mu \le n/\log n$, with $c$ a suitable constant, the runtime of the $(\mu+1)$ GA on $\mathrm{Jump}_k$, with $k \ge 3$, is $O(n^{k-1})$.

Evolutionary Algorithms

Run Time Analysis for Random Local Search on Generalized Majority Functions

no code implementations27 Apr 2022 Carola Doerr, Martin S. Krejca

We prove upper bounds for the expected run time of random local search on this MAJORITY problem for its entire parameter spectrum.

Evolutionary Algorithms

Theory-inspired Parameter Control Benchmarks for Dynamic Algorithm Configuration

1 code implementation7 Feb 2022 André Biedenkapp, Nguyen Dang, Martin S. Krejca, Frank Hutter, Carola Doerr

We extend this benchmark by analyzing optimal control policies that can select the parameters only from a given portfolio of possible values.

Benchmarking Evolutionary Algorithms

The Univariate Marginal Distribution Algorithm Copes Well With Deception and Epistasis

no code implementations16 Jul 2020 Benjamin Doerr, Martin S. Krejca

In their recent work, Lehre and Nguyen (FOGA 2019) show that the univariate marginal distribution algorithm (UMDA) needs time exponential in the parent populations size to optimize the DeceptiveLeadingBlocks (DLB) problem.

Evolutionary Algorithms

Theory of Estimation-of-Distribution Algorithms

no code implementations14 Jun 2018 Martin S. Krejca, Carsten Witt

Estimation-of-distribution algorithms (EDAs) are general metaheuristics used in optimization that represent a more recent alternative to classical approaches like evolutionary algorithms.

Evolutionary Algorithms

First-Hitting Times Under Additive Drift

no code implementations22 May 2018 Timo Kötzing, Martin S. Krejca

As corollaries, the same is true for our upper bounds in the case of variable and multiplicative drift.

Escaping Local Optima using Crossover with Emergent or Reinforced Diversity

no code implementations10 Aug 2016 Duc-Cuong Dang, Tobias Friedrich, Timo Kötzing, Martin S. Krejca, Per Kristian Lehre, Pietro S. Oliveto, Dirk Sudholt, Andrew M. Sutton

This proves a sizeable advantage of all variants of the ($\mu$+1) GA compared to (1+1) EA, which requires time $\Theta(n^k)$.

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