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Mutation has traditionally been regarded as an important operator in evolutionary algorithms. In particular, there have been many experimental studies which showed the effectiveness of adapting mutation rates for various static optimization…

Artificial Intelligence · Computer Science 2011-06-06 Tianshi Chen , Yunji Chen , Ke Tang , Guoliang Chen , Xin Yao

Parameter control has succeeded in accelerating the convergence process of evolutionary algorithms. While empirical and theoretical studies have shed light on the behavior of algorithms for single-objective optimization, little is known…

Neural and Evolutionary Computing · Computer Science 2023-05-09 Furong Ye , Frank Neumann , Jacob de Nobel , Aneta Neumann , Thomas Bäck

What really sparked my interest was how certain parameters worked better at executing and optimization algorithm convergence even though the objective formula had no significant differences. Thus the research question stated: 'Which…

Optimization and Control · Mathematics 2020-09-25 Valdimir Pieter

The mathematical runtime analysis of evolutionary algorithms traditionally regards the time an algorithm needs to find a solution of a certain quality when initialized with a random population. In practical applications it may be possible…

Neural and Evolutionary Computing · Computer Science 2025-11-14 Denis Antipov , Maxim Buzdalov , Benjamin Doerr

The performance of an algorithm often critically depends on its parameter configuration. While a variety of automated algorithm configuration methods have been proposed to relieve users from the tedious and error-prone task of manually…

Artificial Intelligence · Computer Science 2022-05-30 Steven Adriaensen , André Biedenkapp , Gresa Shala , Noor Awad , Theresa Eimer , Marius Lindauer , Frank Hutter

When a problem instance is perturbed by a small modification, one would hope to find a good solution for the new instance by building on a known good solution for the previous one. Via a rigorous mathematical analysis, we show that…

Neural and Evolutionary Computing · Computer Science 2019-04-17 Benjamin Doerr , Carola Doerr , Frank Neumann

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

Understanding when evolutionary algorithms are efficient or not, and how they efficiently solve problems, is one of the central research tasks in evolutionary computation. In this work, we make progress in understanding the interplay…

Neural and Evolutionary Computing · Computer Science 2019-04-16 Denis Antipov , Benjamin Doerr , Quentin Yang

The choices of hyperparameters have critical effects on the performance of machine learning models. In this paper, we present a general framework that is able to construct an adaptive optimizer, which automatically adjust the appropriate…

Machine Learning · Computer Science 2022-01-31 Huayuan Sun

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

The problem is considered of optimizing discrete parameters in the presence of constraints. We use the stochastic sigmoid with temperature and put forward the new adaptive gradient method CONGA. The search for an optimal solution is carried…

Optimization and Control · Mathematics 2024-01-17 Andrei Beinarovich , Sergey Stepanov , Alexander Zaslavsky

In a seminal paper in 2013, Witt showed that the (1+1) Evolutionary Algorithm with standard bit mutation needs time $(1+o(1))n \ln n/p_1$ to find the optimum of any linear function, as long as the probability $p_1$ to flip exactly one bit…

Neural and Evolutionary Computing · Computer Science 2024-10-01 Carola Doerr , Duri Andrea Janett , Johannes Lengler

Finding the best configuration of algorithms' hyperparameters for a given optimization problem is an important task in evolutionary computation. We compare in this work the results of four different hyperparameter tuning approaches for a…

Neural and Evolutionary Computing · Computer Science 2022-03-18 Furong Ye , Carola Doerr , Hao Wang , Thomas Bäck

This paper proposes the first-ever algorithmic framework for tuning hyper-parameters of stochastic optimization algorithm based on reinforcement learning. Hyper-parameters impose significant influences on the performance of stochastic…

Machine Learning · Computer Science 2020-03-11 Haotian Zhang , Jianyong Sun , Zongben Xu

This paper analyses a $(1,\lambda)$-Evolution Strategy, a randomised comparison-based adaptive search algorithm, on a simple constraint optimisation problem. The algorithm uses resampling to handle the constraint and optimizes a linear…

Neural and Evolutionary Computing · Computer Science 2014-12-09 Alexandre Chotard , Anne Auger , Nikolaus Hansen

The rapid advances in the field of optimization methods in many pure and applied science pose the difficulty of keeping track of the developments as well as selecting an appropriate technique that best suits the problem in-hand. From a…

Neural and Evolutionary Computing · Computer Science 2011-12-30 Loris Serafino

We present a powerful general framework for designing data-dependent optimization algorithms, building upon and unifying recent techniques in adaptive regularization, optimistic gradient predictions, and problem-dependent randomization. We…

Machine Learning · Statistics 2015-10-14 Mehryar Mohri , Scott Yang

Genetic algorithm (GA) is typically used to solve nonlinear model predictive control's optimization problem. However, the size of the search space in which the GA searches for the optimal control inputs is crucial for its applicability to…

Optimization and Control · Mathematics 2025-01-22 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

Online parameter controllers for evolutionary algorithms adjust values of parameters during the run of an evolutionary algorithm. Recently a new efficient parameter controller based on reinforcement learning was proposed by Karafotias et…

Neural and Evolutionary Computing · Computer Science 2016-03-23 Arkady Rost , Irina Petrova , Arina Buzdalova

Death has long been overlooked in evolutionary algorithms. Recent research has shown that death (when applied properly) can benefit the overall fitness of a population and can outperform sub-sections of a population that are "immortal" when…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Micah Burkhardt , Roman V. Yampolskiy