# Evolutionary Diversity Optimization Using Multi-Objective Indicators

arXiv: https://arxiv.org/abs/1811.06804 · HTML: https://mlsanity.com/paper/1811.06804/

## Key facts

- Cited by 9 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Nov 2018.

## Built on by (most cited first, 9 of 9)

- [Rigorous Runtime Analysis of Diversity Optimization with GSEMO on OneMinMax](https://mlsanity.com/paper/2307.07248/) (2023)
- [REACT: Revealing Evolutionary Action Consequence Trajectories for Interpretable Reinforcement Learning](https://mlsanity.com/paper/2404.03359/) (2024)
- [Evolutionary Computation for the Design and Enrichment of General-Purpose Artificial Intelligence Systems: Survey and Prospects](https://mlsanity.com/paper/2407.08745/) (2024)
- [Preference-Conditioned Gradient Variations for Multi-Objective Quality-Diversity](https://mlsanity.com/paper/2411.12433/) (2024)
- [Surrogate Fitness Metrics for Interpretable Reinforcement Learning](https://mlsanity.com/paper/2504.14645/) (2025)
- [Runtime Analysis of Evolutionary Diversity Optimization on the Multi-objective (LeadingOnes, TrailingZeros) Problem](https://mlsanity.com/paper/2404.11496/) (2024)
- [Illuminating the Diversity-Fitness Trade-Off in Black-Box Optimization](https://mlsanity.com/paper/2408.16393/) (2024)
- [Evolving Hard Maximum Cut Instances for Quantum Approximate Optimization Algorithms](https://mlsanity.com/paper/2502.12012/) (2025)
- [Trust Region-Based Bayesian Optimisation to Discover Diverse Solutions](https://mlsanity.com/paper/2511.00750/) (2025)

## Abstract (arXiv)

Evolutionary diversity optimization aims to compute a diverse set of solutions where all solutions meet a given quality criterion. With this paper, we bridge the areas of evolutionary diversity optimization and evolutionary multi-objective optimization. We show how popular indicators frequently used in the area of multi-objective optimization can be used for evolutionary diversity optimization. Our experimental investigations for evolving diverse sets of TSP instances and images according to various features show that two of the most prominent multi-objective indicators, namely the hypervolume indicator and the inverted generational distance, provide excellent results in terms of visualization and various diversity indicators.