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Policy optimization seeks the best solution to a control problem according to an objective or fitness function, serving as a fundamental field of engineering and research with applications in robotics. Traditional optimization methods like…

Neural and Evolutionary Computing · Computer Science 2025-04-07 Lisa Coiffard , Paul Templier , Antoine Cully

The optimization of functions to find the best solution according to one or several objectives has a central role in many engineering and research fields. Recently, a new family of optimization algorithms, named Quality-Diversity…

Neural and Evolutionary Computing · Computer Science 2017-08-31 Antoine Cully , Yiannis Demiris

Quality-Diversity (QD) algorithms are a new type of Evolutionary Algorithms (EAs), aiming to find a set of high-performing, yet diverse solutions. They have found many successful applications in reinforcement learning and robotics, helping…

Neural and Evolutionary Computing · Computer Science 2024-05-07 Chao Qian , Ke Xue , Ren-Jian Wang

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

In this work, we consider the problem of Quality-Diversity (QD) optimization with multiple objectives. QD algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set…

Artificial Intelligence · Computer Science 2022-06-01 Thomas Pierrot , Guillaume Richard , Karim Beguir , Antoine Cully

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

Quality-Diversity optimization is a new family of optimization algorithms that, instead of searching for a single optimal solution to solving a task, searches for a large collection of solutions that all solve the task in a different way.…

Robotics · Computer Science 2019-05-29 Antoine Cully

When using Quality Diversity (QD) optimization to solve hard exploration or deceptive search problems, we assume that diversity is extrinsically valuable. This means that diversity is important to help us reach an objective, but is not an…

Neural and Evolutionary Computing · Computer Science 2023-05-16 Ryan Boldi , Lee Spector

Quality-Diversity has emerged as a powerful family of evolutionary algorithms that generate diverse populations of high-performing solutions by implementing local competition principles inspired by biological evolution. While these…

Neural and Evolutionary Computing · Computer Science 2025-02-05 Maxence Faldor , Robert Tjarko Lange , Antoine Cully

Quality-Diversity algorithms refer to a class of evolutionary algorithms designed to find a collection of diverse and high-performing solutions to a given problem. In robotics, such algorithms can be used for generating a collection of…

Neural and Evolutionary Computing · Computer Science 2022-02-17 Luca Grillotti , Antoine Cully

Traditional optimization algorithms search for a single global optimum that maximizes (or minimizes) the objective function. Multimodal optimization algorithms search for the highest peaks in the search space that can be more than one.…

Neural and Evolutionary Computing · Computer Science 2020-12-18 Konstantinos Chatzilygeroudis , Antoine Cully , Vassilis Vassiliades , Jean-Baptiste Mouret

Quality Diversity (QD) algorithms are a recent family of optimization algorithms that search for a large set of diverse but high-performing solutions. In some specific situations, they can solve multiple tasks at once. For instance, they…

Neural and Evolutionary Computing · Computer Science 2020-04-20 Jean-Baptiste Mouret , Glenn Maguire

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 (QD) optimization is an emerging field that focuses on finding a set of behaviorally diverse and high-quality solutions. While the quality is typically defined w.r.t. a single objective function, recent work on…

Neural and Evolutionary Computing · Computer Science 2025-05-28 Shihan Zhao , Stefanos Nikolaidis

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

Quality-Diversity (QD) optimization algorithms are a well-known approach to generate large collections of diverse and high-quality solutions. However, derived from evolutionary computation, QD algorithms are population-based methods which…

Neural and Evolutionary Computing · Computer Science 2022-10-11 Bryan Lim , Maxime Allard , Luca Grillotti , Antoine Cully

Quality-Diversity algorithms provide efficient mechanisms to generate large collections of diverse and high-performing solutions, which have shown to be instrumental for solving downstream tasks. However, most of those algorithms rely on a…

Neural and Evolutionary Computing · Computer Science 2022-04-22 Luca Grillotti , Antoine Cully

Complex system design problems, such as those involved in aerospace engineering, require the use of numerically costly simulation codes in order to predict the performance of the system to be designed. In this context, these codes are often…

Optimization and Control · Mathematics 2024-02-14 Loic Brevault , Mathieu Balesdent

We use the Quality Diversity (QD) algorithm with Neural Cellular Automata (NCA) to automatically evaluate Multi-Agent Path Finding (MAPF) algorithms by generating diverse maps. Previously, researchers typically evaluate MAPF algorithms on a…

Multiagent Systems · Computer Science 2026-03-02 Cheng Qian , Yulun Zhang , Varun Bhatt , Matthew Christopher Fontaine , Stefanos Nikolaidis , Jiaoyang Li

More and more, optimization methods are used to find diverse solution sets. We compare solution diversity in multi-objective optimization, multimodal optimization, and quality diversity in a simple domain. We show that multiobjective…

Neural and Evolutionary Computing · Computer Science 2021-05-11 Alexander Hagg , Mike Preuss , Alexander Asteroth , Thomas Bäck
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