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Evolutionary algorithms (EAs) are population-based general-purpose optimization algorithms, and have been successfully applied in various real-world optimization tasks. However, previous theoretical studies often employ EAs with only a…

Neural and Evolutionary Computing · Computer Science 2016-06-13 Chao Qian , Yang Yu , Zhi-Hua Zhou

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

Although the population size is an important parameter in evolutionary multi-objective optimization (EMO), little is known about its influence on preference-based EMO (PBEMO). The effectiveness of an unbounded external archive (UA) in PBEMO…

Neural and Evolutionary Computing · Computer Science 2023-04-10 Ryoji Tanabe

Population-based memetic algorithms have been successfully applied to solve many difficult combinatorial problems. Often, a population of fixed size was used in such algorithms to record some best solutions sampled during the search.…

Neural and Evolutionary Computing · Computer Science 2019-09-20 Yangming Zhou , Jin-Kao Hao , Zhang-Hua Fu , Zhe Wang , Xiangjing Lai

We present our asynchronous implementation of the LM-CMA-ES algorithm, which is a modern evolution strategy for solving complex large-scale continuous optimization problems. Our implementation brings the best results when the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-15 Viktor Arkhipov , Maxim Buzdalov , Anatoly Shalyto

Variants of the GSEMO algorithm using multi-objective formulations have been successfully analyzed and applied to optimize chance-constrained submodular functions. However, due to the effect of the increasing population size of the GSEMO…

Neural and Evolutionary Computing · Computer Science 2024-08-08 Xiankun Yan , Aneta Neumann , Frank Neumann

The search ability of an Evolutionary Algorithm (EA) depends on the variation among the individuals in the population [3, 4, 8]. Maintaining an optimal level of diversity in the EA population is imperative to ensure that progress of the EA…

Neural and Evolutionary Computing · Computer Science 2015-10-27 Maumita Bhattacharya

Finding the optimal parameter setting (i.e. the optimal population size, the optimal mutation probability, the optimal evolutionary model etc) for an Evolutionary Algorithm (EA) is a difficult task. Instead of evolving only the parameters…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Mihai Oltean , Crina Groşan

Recent decades have witnessed great advancements in multiobjective evolutionary algorithms (MOEAs) for multiobjective optimization problems (MOPs). However, these progressively improved MOEAs have not necessarily been equipped with scalable…

Neural and Evolutionary Computing · Computer Science 2023-02-28 Songbai Liu , Qiuzhen Lin , Jianqiang Li , Kay Chen Tan

The design of binary error-correcting codes is a challenging optimization problem with several applications in telecommunications and storage, which has also been addressed with metaheuristic techniques and evolutionary algorithms. Still,…

Neural and Evolutionary Computing · Computer Science 2022-11-22 Claude Carlet , Luca Mariot , Luca Manzoni , Stjepan Picek

Context: Evolutionary algorithms typically require a large number of evaluations (of solutions) to converge - which can be very slow and expensive to evaluate.Objective: To solve search-based software engineering (SE) problems, using fewer…

Software Engineering · Computer Science 2017-09-19 Jianfeng Chen , Vivek Nair , Tim Menzies

Several practical applications of evolutionary computation possess objective functions that receive the design variables and externally given parameters. Such problems are termed contextual optimization problems. These problems require…

Neural and Evolutionary Computing · Computer Science 2025-02-19 Yuta Sekino , Kento Uchida , Shinichi Shirakawa

Solving constrained multi-objective optimization problems with evolutionary algorithms has attracted considerable attention. Various constrained multi-objective optimization evolutionary algorithms (CMOEAs) have been developed with the use…

Artificial Intelligence · Computer Science 2024-02-21 Fei Ming , Wenyin Gong , Ling Wang , Yaochu Jin

Alignment of Large Language Models (LLMs) typically relies on Reinforcement Learning from Human Feedback (RLHF) with gradient-based optimizers such as Proximal Policy Optimization (PPO) or Group Relative Policy Optimization (GRPO). While…

We study the $(1:s+1)$ success rule for controlling the population size of the $(1,\lambda)$-EA. It was shown by Hevia Fajardo and Sudholt that this parameter control mechanism can run into problems for large $s$ if the fitness landscape is…

Neural and Evolutionary Computing · Computer Science 2024-01-25 Marc Kaufmann , Maxime Larcher , Johannes Lengler , Xun Zou

Since Estimation of Distribution Algorithms (EDA) were proposed, many attempts have been made to improve EDAs' performance in the context of global optimization. So far, the studies or applications of multivariate probabilistic model based…

Neural and Evolutionary Computing · Computer Science 2011-11-10 Weishan Dong , Tianshi Chen , Peter Tino , Xin Yao

In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from the study of spatial ecology and amounts to the following…

Analysis of PDEs · Mathematics 2021-05-24 Idriss Mazari , Grégoire Nadin , Yannick Privat

We consider a population living in a patchy environment that varies stochastically in space and time. The population is composed of two morphs (that is, individuals of the same species with different genotypes). In terms of survival and…

Probability · Mathematics 2014-09-23 Steven N. Evans , Alexandru Hening , Sebastian J. Schreiber

Challenging optimisation problems are abundant in all areas of science. Since the 1950s, scientists have developed ever-diversifying families of black box optimisation algorithms designed to address any optimisation problem, requiring only…

Neural and Evolutionary Computing · Computer Science 2021-05-25 Anna V. Kononova , David W. Corne , Philippe De Wilde , Vsevolod Shneer , Fabio Caraffini

Parent selection in evolutionary algorithms for multi-objective optimisation is usually performed by dominance mechanisms or indicator functions that prefer non-dominated points. We propose to refine the parent selection on evolutionary…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Edgar Covantes Osuna , Wanru Gao , Frank Neumann , Dirk Sudholt