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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

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

Quality-Diversity (QD) algorithms constitute a branch of optimization that is concerned with discovering a diverse and high-quality set of solutions to an optimization problem. Current QD methods commonly maintain diversity by dividing the…

Machine Learning · Computer Science 2026-03-05 Saeed Hedayatian , Stefanos Nikolaidis

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

Quality-Diversity (QD) algorithms have emerged as a powerful optimization paradigm with the aim of generating a set of high-quality and diverse solutions. To achieve such a challenging goal, QD algorithms require maintaining a large archive…

Machine Learning · Computer Science 2024-06-07 Ren-Jian Wang , Ke Xue , Cong Guan , Chao Qian

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

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 optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Manon Flageat , Antoine Cully

Quality-Diversity (QD) algorithms have exhibited promising results across many domains and applications. However, uncertainty in fitness and behaviour estimations of solutions remains a major challenge when QD is used in complex real-world…

Neural and Evolutionary Computing · Computer Science 2025-03-04 Manon Flageat , Hannah Janmohamed , Bryan Lim , Antoine Cully

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

Quality-diversity (QD) algorithms search for a set of good solutions which cover a space as defined by behavior metrics. This simultaneous focus on quality and diversity with explicit metrics sets QD algorithms apart from standard single-…

Neural and Evolutionary Computing · Computer Science 2021-02-16 Daniele Gravina , Ahmed Khalifa , Antonios Liapis , Julian Togelius , Georgios N. Yannakakis

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…

Quality diversity (QD) algorithms have been shown to be very successful when dealing with problems in areas such as robotics, games and combinatorial optimization. They aim to maximize the quality of solutions for different regions of the…

Neural and Evolutionary Computing · Computer Science 2022-07-29 Adel Nikfarjam , Anh Viet Do , Frank Neumann

Quality Diversity (QD) has shown great success in discovering high-performing, diverse policies for robot skill learning. While current benchmarks have led to the development of powerful QD methods, we argue that new paradigms must be…

Robotics · Computer Science 2024-07-26 Sumeet Batra , Bryon Tjanaka , Stefanos Nikolaidis , Gaurav Sukhatme

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) is a branch of evolutionary computation that seeks high-quality and behaviorally diverse solutions to a problem. While adversarial problems are common, classical QD cannot be easily applied to them, as both the…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Timothée Anne , Noah Syrkis , Meriem Elhosni , Florian Turati , Alexandre Manai , Franck Legendre , Alain Jaquier , Sebastian Risi

Consider the problem of training robustly capable agents. One approach is to generate a diverse collection of agent polices. Training can then be viewed as a quality diversity (QD) optimization problem, where we search for a collection of…

Machine Learning · Computer Science 2022-04-18 Bryon Tjanaka , Matthew C. Fontaine , Julian Togelius , Stefanos Nikolaidis

Quality diversity (QD) algorithms have shown to provide sets of high quality solutions for challenging problems in robotics, games, and combinatorial optimisation. So far, theoretical foundational explaining their good behaviour in practice…

Artificial Intelligence · Computer Science 2024-12-17 Duc-Cuong Dang , Aneta Neumann , Frank Neumann , Andre Opris , Dirk Sudholt

While standard approaches to optimisation focus on producing a single high-performing solution, Quality-Diversity (QD) algorithms allow large diverse collections of such solutions to be found. If QD has proven promising across a large…

Neural and Evolutionary Computing · Computer Science 2023-04-27 Manon Flageat , Luca Grillotti , Antoine Cully

Quality diversity~(QD) is a branch of evolutionary computation that gained increasing interest in recent years. The Map-Elites QD approach defines a feature space, i.e., a partition of the search space, and stores the best solution for each…

Neural and Evolutionary Computing · Computer Science 2023-07-06 Jakob Bossek , Dirk Sudholt
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