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Quality Diversity (QD) has emerged as a powerful alternative optimization paradigm that aims at generating large and diverse collections of solutions, notably with its flagship algorithm MAP-ELITES (ME) which evolves solutions through…

Neural and Evolutionary Computing · Computer Science 2023-06-16 Thomas Pierrot , Arthur Flajolet

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

A prevalent limitation of optimizing over a single objective is that it can be misguided, becoming trapped in local optimum. This can be rectified by Quality-Diversity (QD) algorithms, where a population of high-quality and diverse…

Machine Learning · Computer Science 2023-04-18 Ryan Wickman , Bibek Poudel , Michael Villarreal , Xiaofei Zhang , Weizi Li

Real-world optimization often demands diverse, high-quality solutions. Quality-Diversity (QD) optimization is a multifaceted approach in evolutionary algorithms that aims to generate a set of solutions that are both high-performing and…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Meng Xu , Frank Neumann , Aneta Neumann , Yew Soon Ong

A fascinating aspect of nature lies in its ability to produce a collection of organisms that are all high-performing in their niche. Quality-Diversity (QD) methods are evolutionary algorithms inspired by this observation, that obtained…

Neural and Evolutionary Computing · Computer Science 2023-09-11 Felix Chalumeau , Thomas Pierrot , Valentin Macé , Arthur Flajolet , Karim Beguir , Antoine Cully , Nicolas Perrin-Gilbert

Evolutionary search via the quality-diversity (QD) paradigm can discover highly performing solutions in different behavioural niches, showing considerable potential in complex real-world scenarios such as evolutionary robotics. Yet most QD…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Roberto Gallotta , Antonios Liapis , Georgios N. Yannakakis

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

In many real-world systems, such as adaptive robotics, achieving a single, optimised solution may be insufficient. Instead, a diverse set of high-performing solutions is often required to adapt to varying contexts and requirements. This is…

Machine Learning · Computer Science 2023-11-06 Garðar Ingvarsson , Mikayel Samvelyan , Bryan Lim , Manon Flageat , Antoine Cully , Tim Rocktäschel

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 a variety of domains, from robotics to finance, Quality-Diversity algorithms have been used to generate collections of both diverse and high-performing solutions. Multi-Objective Quality-Diversity algorithms have emerged as a promising…

Artificial Intelligence · Computer Science 2026-02-03 Hannah Janmohamed , Maxence Faldor , Thomas Pierrot , Antoine Cully

Quality-Diversity is a family of evolutionary algorithms that generate diverse, high-performing solutions through local competition principles inspired by natural evolution. While research has focused on improving specific aspects of…

Neural and Evolutionary Computing · Computer Science 2025-02-04 Ryan Bahlous-Boldi , Maxence Faldor , Luca Grillotti , Hannah Janmohamed , Lisa Coiffard , Lee Spector , Antoine Cully

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

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

We present two novel domain-independent genetic operators that harness the capabilities of deep learning: a crossover operator for genetic algorithms and a mutation operator for genetic programming. Deep Neural Crossover leverages the…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Eliad Shem-Tov , Moshe Sipper , Achiya Elyasaf

Despite recent progress in robot learning, it still remains a challenge to program a robot to deal with open-ended object manipulation tasks. One approach that was recently used to autonomously generate a repertoire of diverse skills is a…

Artificial Intelligence · Computer Science 2020-08-12 Leon Keller , Daniel Tanneberg , Svenja Stark , Jan Peters

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

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…

With the development of fast and massively parallel evaluations in many domains, Quality-Diversity (QD) algorithms, that already proved promising in a large range of applications, have seen their potential multiplied. However, we have yet…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Manon Flageat , Bryan Lim , Antoine Cully

This paper investigates the use of more than one crossover operator to enhance the performance of genetic algorithms. Novel crossover operators are proposed such as the Collision crossover, which is based on the physical rules of elastic…

Neural and Evolutionary Computing · Computer Science 2018-01-09 Ahmad B. A. Hassanat , Esra'a Alkafaween

Quality Diversity (QD) algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set of local optima. While early QD algorithms view the objective and descriptor…

Artificial Intelligence · Computer Science 2023-09-14 Raphael Boige , Guillaume Richard , Jérémie Dona , Thomas Pierrot , Antoine Cully
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