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Evolutionary algorithms (EAs) are general-purpose optimisers that come with several parameters like the sizes of parent and offspring populations or the mutation rate. It is well known that the performance of EAs may depend drastically on…

Neural and Evolutionary Computing · Computer Science 2022-10-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

In this paper, we make the key delineation on the roles of resolution and statistical uncertainty in hierarchical bandits-based black-box optimization algorithms, guiding a more general analysis and a more efficient algorithm design. We…

Machine Learning · Statistics 2023-06-01 Wenjie Li , Chi-Hua Wang , Guang Cheng , Qifan Song

The performance of many algorithms in the fields of hard combinatorial problem solving, machine learning or AI in general depends on tuned hyperparameter configurations. Automated methods have been proposed to alleviate users from the…

Machine Learning · Computer Science 2019-08-23 André Biedenkapp , H. Furkan Bozkurt , Frank Hutter , Marius Lindauer

The expected running time of the classical (1+1) EA on the OneMax benchmark function has recently been determined by Hwang et al. (2018) up to additive errors of $O((\log n)/n)$. The same approach proposed there also leads to a full…

Neural and Evolutionary Computing · Computer Science 2019-06-26 Hsien-Kuei Hwang , Carsten Witt

Theory of evolutionary computation (EC) aims at providing mathematically founded statements about the performance of evolutionary algorithms (EAs). The predominant topic in this research domain is runtime analysis, which studies the time it…

Neural and Evolutionary Computing · Computer Science 2018-12-04 Eduardo Carvalho Pinto , Carola Doerr

While evolutionary algorithms are known to be very successful for a broad range of applications, the algorithm designer is often left with many algorithmic choices, for example, the size of the population, the mutation rates, and the…

Neural and Evolutionary Computing · Computer Science 2015-04-14 Benjamin Doerr , Carola Doerr

Recent approaches to training algorithm selectors in the black-box optimisation domain have advocated for the use of training data that is algorithm-centric in order to encapsulate information about how an algorithm performs on an instance,…

Machine Learning · Computer Science 2025-01-22 Quentin Renau , Emma Hart

In single-objective optimization, it is well known that evolutionary algorithms also without further adjustments can tolerate a certain amount of noise in the evaluation of the objective function. In contrast, this question is not at all…

Neural and Evolutionary Computing · Computer Science 2023-08-25 Matthieu Dinot , Benjamin Doerr , Ulysse Hennebelle , Sebastian Will

We study first-order algorithms that are uniformly stable for empirical risk minimization (ERM) problems that are convex and smooth with respect to $p$-norms, $p \geq 1$. We propose a black-box reduction method that, by employing properties…

Machine Learning · Computer Science 2024-12-23 Simon Vary , David Martínez-Rubio , Patrick Rebeschini

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

We propose a new method based on discrete Fourier analysis to analyze the time evolutionary algorithms spend on plateaus. This immediately gives a concise proof of the classic estimate of the expected runtime of the $(1+1)$ evolutionary…

Neural and Evolutionary Computing · Computer Science 2025-01-30 Benjamin Doerr , Andrew James Kelley

Feature-based offline algorithm selection has shown its effectiveness in a wide range of optimization problems, including the black-box optimization problem. An algorithm selection system selects the most promising optimizer from an…

Machine Learning · Computer Science 2024-05-21 Takushi Yoshikawa , Ryoji Tanabe

Most evolutionary algorithms have parameters, which allow a great flexibility in controlling their behavior and adapting them to new problems. To achieve the best performance, it is often needed to control some of the parameters during…

Neural and Evolutionary Computing · Computer Science 2021-06-07 Maxim Buzdalov , Carola Doerr

The most common representation in evolutionary computation are bit strings. This is ideal to model binary decision variables, but less useful for variables taking more values. With very little theoretical work existing on how to use…

Neural and Evolutionary Computing · Computer Science 2016-04-13 Benjamin Doerr , Carola Doerr , Timo Kötzing

Runtime analysis aims at contributing to our understanding of evolutionary algorithms through mathematical analyses of their runtimes. In the context of discrete optimization problems, runtime analysis classically studies the time needed to…

Neural and Evolutionary Computing · Computer Science 2022-06-17 Maxim Buzdalov , Benjamin Doerr , Carola Doerr , Dmitry Vinokurov

We study unbiased $(1+1)$ evolutionary algorithms on linear functions with an unknown number $n$ of bits with non-zero weight. Static algorithms achieve an optimal runtime of $O(n (\ln n)^{2+\epsilon})$, however, it remained unclear whether…

Neural and Evolutionary Computing · Computer Science 2018-08-17 Hafsteinn Einarsson , Marcelo Matheus Gauy , Johannes Lengler , Florian Meier , Asier Mujika , Angelika Steger , Felix Weissenberger

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

We consider black-box optimization in which only an extremely limited number of function evaluations, on the order of around 100, are affordable and the function evaluations must be performed in even fewer batches of a limited number of…

Machine Learning · Computer Science 2021-03-19 Carlos Ansotegui , Meinolf Sellmann , Tapan Shah , Kevin Tierney

We argue that proven exponential upper bounds on runtimes, an established area in classic algorithms, are interesting also in heuristic search and we prove several such results. We show that any of the algorithms randomized local search,…

Neural and Evolutionary Computing · Computer Science 2021-10-12 Benjamin Doerr

It has long been observed that the performance of evolutionary algorithms and other randomized search heuristics can benefit from a non-static choice of the parameters that steer their optimization behavior. Mechanisms that identify…

Neural and Evolutionary Computing · Computer Science 2022-04-18 André Biedenkapp , Nguyen Dang , Martin S. Krejca , Frank Hutter , Carola Doerr