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In practise, it is often desirable to provide the decision-maker with a rich set of diverse solutions of decent quality instead of just a single solution. In this paper we study evolutionary diversity optimization for the knapsack problem…

神经与进化计算 · 计算机科学 2021-04-28 Jakob Bossek , Aneta Neumann , Frank Neumann

The paradigm of automated program generation is shifting from one-shot generation to inference-time search, where Large Language Models (LLMs) function as semantic mutation operators within evolutionary loops. While effective, these systems…

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. They conclude…

神经与进化计算 · 计算机科学 2022-04-28 Benjamin Doerr , Martin S. Krejca

The use of Evolutionary Algorithms (EA) for solving Mathematical/Computational Optimization Problems is inspired by the biological processes of Evolution. Few of the primitives involved in the Evolutionary process/paradigm are selection of…

神经与进化计算 · 计算机科学 2023-11-07 Parthasarathy Srinivasan

Recently it has been proved that a simple algorithm configurator called ParamRLS can efficiently identify the optimal neighbourhood size to be used by stochastic local search to optimise two standard benchmark problem classes. In this paper…

神经与进化计算 · 计算机科学 2020-04-10 George T. Hall , Pietro Simone Oliveto , Dirk Sudholt

Differential evolution (DE) is a well-known type of evolutionary algorithms (EA). Similarly to other EA variants it can suffer from small populations and loose diversity too quickly. This paper presents a new approach to mitigate this…

神经与进化计算 · 计算机科学 2020-02-10 Jakub M. Tomczak , Ewelina Weglarz-Tomczak , Agoston E. Eiben

The compact Genetic Algorithm (cGA), parameterized by its hypothetical population size $K$, offers a low-memory alternative to evolving a large offspring population of solutions. It evolves a probability distribution, biasing it towards…

神经与进化计算 · 计算机科学 2024-04-19 Cella Florescu , Marc Kaufmann , Johannes Lengler , Ulysse Schaller

In this work, we introduce multiplicative drift analysis as a suitable way to analyze the runtime of randomized search heuristics such as evolutionary algorithms. We give a multiplicative version of the classical drift theorem. This allows…

神经与进化计算 · 计算机科学 2013-01-18 Benjamin Doerr , Daniel Johannsen , Carola Winzen

Evolutionary algorithms are known to be robust to noise in the evaluation of the fitness. In particular, larger offspring population sizes often lead to strong robustness. We analyze to what extent the $(1+(\lambda,\lambda))$ genetic…

神经与进化计算 · 计算机科学 2023-05-10 Alexandra Ivanova , Denis Antipov , Benjamin Doerr

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

神经与进化计算 · 计算机科学 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

It was recently observed that the $(1+(\lambda,\lambda))$ genetic algorithm can comparably easily escape the local optimum of the jump functions benchmark. Consequently, this algorithm can optimize the jump function with jump size $k$ in an…

神经与进化计算 · 计算机科学 2020-06-08 Denis Antipov , Benjamin Doerr

Explaining to what extent the real power of genetic algorithms lies in the ability of crossover to recombine individuals into higher quality solutions is an important problem in evolutionary computation. In this paper we show how the…

神经与进化计算 · 计算机科学 2017-08-28 Dogan Corus , Pietro S. Oliveto

Multi-objective evolutionary algorithms (MOEAs) are essential for solving complex optimization problems, such as the diet problem, where balancing conflicting objectives, like cost and nutritional content, is crucial. However, most MOEAs…

神经与进化计算 · 计算机科学 2026-01-05 Gustavo V. Nascimento , Ivan R. Meneghini , Valéria Santos , Eduardo Luz , Gladston Moreira

Evolutionary algorithms (EAs) are promising approaches for non-differentiable or strongly multimodal topology optimization problems, but they often suffer from the curse of dimensionality, generally leading to low-resolution optimized…

最优化与控制 · 数学 2025-10-06 Taisei Kii , Kentaro Yaji , Hiroshi Teramoto , Kikuo Fujita

Evolutionary algorithms are well suited for solving the knapsack problem. Some empirical studies claim that evolutionary algorithms can produce good solutions to the 0-1 knapsack problem. Nonetheless, few rigorous investigations address the…

神经与进化计算 · 计算机科学 2014-10-07 Jun He , Boris Mitavskiy , Yuren Zhou

Population diversity is crucial in evolutionary algorithms as it helps with global exploration and facilitates the use of crossover. Despite many runtime analyses showing advantages of population diversity, we have no clear picture of how…

神经与进化计算 · 计算机科学 2023-04-20 Johannes Lengler , Andre Opris , Dirk Sudholt

Traditionally Genetic Algorithm has been used for optimization of unimodal and multimodal functions. Earlier researchers worked with constant probabilities of GA control operators like crossover, mutation etc. for tuning the optimization in…

神经与进化计算 · 计算机科学 2021-04-20 Avijit Basak

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

人工智能 · 计算机科学 2015-09-24 Shayan Poursoltan , Frank Neumann

We analyse a non-local parabolic integro-differential equation modelling the evolutionary dynamics of a phenotypically-structured population in a changing environment. Such models arise in a variety of contexts from climate change to…

偏微分方程分析 · 数学 2024-07-16 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

Combinatorial optimization problems are notoriously challenging due to their discrete structure and exponentially large solution space. Recent advances in deep reinforcement learning (DRL) have enabled the learning heuristics directly from…

机器学习 · 计算机科学 2025-06-12 Shengda Gu , Kai Li , Junliang Xing , Yifan Zhang , Jian Cheng