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To approximate convolutions which occur in evolution equations with memory terms, a variable-stepsize algorithm is presented for which advancing N steps requires only O(N log(N)) operations and O(log(N)) active memory, in place of O(N^2)…

Numerical Analysis · Mathematics 2007-05-23 María López-Fernández , Christian Lubich , Achim Schädle

Higher-order mutation has the potential for improving major drawbacks of traditional first-order mutation, such as by simulating more realistic faults or improving test optimization techniques. Despite interest in studying promising…

Software Engineering · Computer Science 2020-04-07 Chu-Pan Wong , Jens Meinicke , Leo Chen , João P. Diniz , Christian Kästner , Eduardo Figueiredo

The ratio of non-synonymous to synonymous substitutions $\omega(=d_{N}/d_{S})$ has been widely used as a measure of adaptive evolution in protein coding genes. Omega can be defined in terms of population genetics parameters as the fixation…

Populations and Evolution · Quantitative Biology 2013-11-27 Mario dos Reis

Machine learning systems often experience a distribution shift between training and testing. In this paper, we introduce a simple variational objective whose optima are exactly the set of all representations on which risk minimizers are…

Machine Learning · Computer Science 2022-03-16 Yangjun Ruan , Yann Dubois , Chris J. Maddison

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

Neural and Evolutionary Computing · Computer Science 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

For robots to handle the numerous factors that can affect them in the real world, they must adapt to changes and unexpected events. Evolutionary robotics tries to solve some of these issues by automatically optimizing a robot for a specific…

Robotics · Computer Science 2018-05-10 Tønnes F. Nygaard , Charles P. Martin , Eivind Samuelsen , Jim Torresen , Kyrre Glette

It is known that the evolutionary algorithm $(1+1)$-EA with mutation rate $c/n$ optimises every monotone function efficiently if $c<1$, and needs exponential time on some monotone functions (HotTopic functions) if $c\geq 2.2$. We study the…

Neural and Evolutionary Computing · Computer Science 2018-03-29 Johannes Lengler

The OneMax problem is a standard benchmark optimisation problem for a binary search space. Recent work on applying a Bandit-Based Random Mutation Hill-Climbing algorithm to the noisy OneMax Problem showed that it is important to choose a…

Neural and Evolutionary Computing · Computer Science 2017-06-13 Jialin Liu , Michael Fairbank , Diego Pérez-Liébana , Simon M. Lucas

Dynamic optimisation occurs in a variety of real-world problems. To tackle these problems, evolutionary algorithms have been extensively used due to their effectiveness and minimum design effort. However, for dynamic problems, extra…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Maryam Hasani Shoreh , Renato Hermoza Aragonés , Frank Neumann

The all-pairs shortest path problem is the first non-artificial problem for which it was shown that adding crossover can significantly speed up a mutation-only evolutionary algorithm. Recently, the analysis of this algorithm was refined and…

Neural and Evolutionary Computing · Computer Science 2015-03-20 Benjamin Doerr , Daniel Johannsen , Timo Kötzing , Frank Neumann , Madeleine Theile

We use an elementary argument building on group actions to prove that the selection-free steady state genetic algorithm analyzed by Sutton and Witt (GECCO 2019) takes an expected number of $\Omega(2^n / \sqrt n)$ iterations to find any…

Neural and Evolutionary Computing · Computer Science 2021-09-21 Benjamin Doerr

Evolutionary algorithms (EAs) are universal solvers inspired by principles of natural evolution. In many applications, EAs produce astonishingly good solutions. As they are able to deal with complex optimisation problems, they show great…

Neural and Evolutionary Computing · Computer Science 2024-09-25 Jakob Baumann , Ignaz Rutter , Dirk Sudholt

In this paper, we focus on applications in machine learning, optimization, and control that call for the resilient selection of a few elements, e.g. features, sensors, or leaders, against a number of adversarial denial-of-service attacks or…

Optimization and Control · Mathematics 2017-11-01 Vasileios Tzoumas , Konstantinos Gatsis , Ali Jadbabaie , George J. Pappas

Self-adaptive parameters are increasingly used in the field of Evolutionary Robotics, as they allow key evolutionary rates to vary autonomously in a context-sensitive manner throughout the optimisation process. A significant limitation to…

Neural and Evolutionary Computing · Computer Science 2017-04-04 Gerard David Howard

We develop efficient binary (i.e., 1-bit) and multi-bit coding schemes for estimating the scale parameter of $\alpha$-stable distributions. The work is motivated by the recent work on one scan 1-bit compressed sensing (sparse signal…

Methodology · Statistics 2016-02-02 Ping Li

It is known that evolution strategies in continuous domains might not converge in the presence of noise. It is also known that, under mild assumptions, and using an increasing number of resamplings, one can mitigate the effect of additive…

Optimization and Control · Mathematics 2014-04-10 Marie-Liesse Cauwet

The mutation process in evolution strategies has been interlinked with the normal distribution since its inception. Many lines of reasoning have been given for this strong dependency, ranging from maximum entropy arguments to the need for…

Neural and Evolutionary Computing · Computer Science 2025-04-11 Jacob de Nobel , Diederick Vermetten , Hao Wang , Anna V. Kononova , Günter Rudolph , Thomas Bäck

Evolutionary algorithms are wildly used in unmanned aerial vehicle path planning for their flexibility and effectiveness. Nevertheless, they are so sensitive to the change of environment that can't adapt to all scenarios. Due to this…

Neural and Evolutionary Computing · Computer Science 2022-04-08 Jiabin Lou , Rong Ding , Wenjun Wu

We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("traits"), which can be discrete or continuous. Under minimal…

Populations and Evolution · Quantitative Biology 2018-11-02 Alex McAvoy , Ben Adlam , Benjamin Allen , Martin A. Nowak