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The Quality-Diversity (QD) optimization aims to discover a collection of high-performing solutions that simultaneously exhibit diverse behaviors within a user-defined behavior space. This paradigm has stimulated significant research…

Machine Learning · Computer Science 2026-02-03 Xi Lin , Ping Guo , Yilu Liu , Qingfu Zhang , Jianyong Sun

Quality-Diversity algorithms, among which MAP-Elites, have emerged as powerful alternatives to performance-only optimisation approaches as they enable generating collections of diverse and high-performing solutions to an optimisation…

Neural and Evolutionary Computing · Computer Science 2023-04-26 Manon Flageat , Felix Chalumeau , Antoine Cully

Quality-Diversity optimization comprises a family of evolutionary algorithms aimed at generating a collection of diverse and high-performing solutions. MAP-Elites (ME), a notable example, is used effectively in fields like evolutionary…

Neural and Evolutionary Computing · Computer Science 2025-02-03 Konstantinos Mitsides , Maxence Faldor , Antoine Cully

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

In modular robotics, modules can be reconfigured to change the morphology of the robot, making it able to adapt for specific tasks. However, optimizing both the body and control is a difficult challenge due to the intricate relationship…

Robotics · Computer Science 2020-12-09 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette

Quality-Diversity (QD) algorithms evolve behaviourally diverse and high-performing solutions. To illuminate the elite solutions for a space of behaviours, QD algorithms require the definition of a suitable behaviour space. If the behaviour…

Neural and Evolutionary Computing · Computer Science 2024-01-08 David M. Bossens , Danesh Tarapore

Most multimodal multi-objective evolutionary algorithms (MMEAs) aim to find all global Pareto optimal sets (PSs) for a multimodal multi-objective optimization problem (MMOP). However, in real-world problems, decision makers (DMs) may be…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Wenhua Li , Xingyi Yao , Kaiwen Li , Rui Wang , Tao Zhang , Ling Wang

Quality diversity (QD) is a growing branch of stochastic optimization research that studies the problem of generating an archive of solutions that maximize a given objective function but are also diverse with respect to a set of specified…

Artificial Intelligence · Computer Science 2021-10-28 Matthew C. Fontaine , Stefanos Nikolaidis

Quality-Diversity optimisation algorithms enable the evolution of collections of both high-performing and diverse solutions. These collections offer the possibility to quickly adapt and switch from one solution to another in case it is not…

Neural and Evolutionary Computing · Computer Science 2023-04-26 Manon Flageat , Antoine Cully

Quality-Diversity (QD) algorithms aim to discover diverse, high-performing solutions across behavioral niches. However, QD search often stagnates as incremental variation operators struggle to propagate building blocks across large…

Neural and Evolutionary Computing · Computer Science 2026-02-17 Joshua Hutchinson , J. Michael Herrmann , Simón C. Smith

In the field of evolutionary multi-objective optimization, the approximation of the Pareto front (PF) is achieved by utilizing a collection of representative candidate solutions that exhibit desirable convergence and diversity. Although…

Neural and Evolutionary Computing · Computer Science 2024-07-10 Peng Chen , Jing Liang , Kangjia Qiao , Ponnuthurai Nagaratnam Suganthan , Xuanxuan Ban

In Evolutionary Robotics a population of solutions is evolved to optimize robots that solve a given task. However, in traditional Evolutionary Algorithms, the population of solutions tends to converge to local optima when the problem is…

Robotics · Computer Science 2020-08-06 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette

Reviewing the previous work of diversity Rein-forcement Learning,diversity is often obtained via an augmented loss function,which requires a balance between reward and diversity.Generally,diversity optimization algorithms use Multi-armed…

Machine Learning · Computer Science 2024-03-19 Jingcheng Jiang , Haiyin Piao , Yu Fu , Yihang Hao , Chuanlu Jiang , Ziqi Wei , Xin Yang

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

Automated machine learning (AutoML) systems commonly ensemble models post hoc to improve predictive performance, typically via greedy ensemble selection (GES). However, we believe that GES may not always be optimal, as it performs a simple…

Machine Learning · Computer Science 2023-08-03 Lennart Purucker , Lennart Schneider , Marie Anastacio , Joeran Beel , Bernd Bischl , Holger Hoos

We present the first application of MAP-Elites, a quality-diversity algorithm, to trade execution. Rather than searching for a single optimal policy, MAP-Elites generates a diverse portfolio of regime-specialist strategies indexed by…

Trading and Market Microstructure · Quantitative Finance 2026-02-02 Robert de Witt , Mikko S. Pakkanen

Designing optimal soft modular robots is difficult, due to non-trivial interactions between morphology and controller. Evolutionary algorithms (EAs), combined with physical simulators, represent a valid tool to overcome this issue. In this…

Robotics · Computer Science 2021-04-27 Enrico Zardini , Davide Zappetti , Davide Zambrano , Giovanni Iacca , Dario Floreano

A fascinating aspect of nature lies in its ability to produce a large and diverse collection of organisms that are all high-performing in their niche. By contrast, most AI algorithms focus on finding a single efficient solution to a given…

Multi-objective optimization (MOO) has received growing attention in applications that require learning under multiple criteria. However, the existing MOO formulations do not explicitly account for distributional shifts in the data. We…

Machine Learning · Computer Science 2026-05-08 Yufeng Yang , Fangning Zhuo , Ziyi Chen , Heng Huang , Yi Zhou

Differential MAP-Elites is a novel algorithm that combines the illumination capacity of CVT-MAP-Elites with the continuous-space optimization capacity of Differential Evolution. The algorithm is motivated by observations that illumination…

Neural and Evolutionary Computing · Computer Science 2021-07-13 Tae Jong Choi , Julian Togelius