Supplementary material for the bbob-biobj and bbob-biobj-ext test suites

Welcome to the website with supplementary material for the bbob-biobj and bbob-biobj-ext test suites from the COCO (Comparing Continuous Optimizers) platform (Hansen et al. 2021).

It provides function definitions and visualizations for all 92 bbob-biobj-ext problems introduced in the paper Using Well-Understood Single-Objective Functions in Multiobjective Black-Box Optimization Test Suites by Dimo Brockhoff, Anne Auger, Nikolaus Hansen and Tea Tušar published in the Evolutionary Computation Journal (Brockhoff et al. 2022). It also shows the empirical distribution of angles between the two (estimated) gradients at the best known Pareto set approximations in low dimensions. The postprossed data page shows the postprocessed results from a comparison among three selected algorithms.

Functions definitions Visualizations Gradient angle plots Postprocessed data

Citation

You may cite this work in a scientific context as

Dimo Brockhoff, Anne Auger, Nikolaus Hansen, Tea Tušar. Using Well-Understood Single-Objective Functions in Multiobjective Black-Box Optimization Test Suites. Evolutionary Computation 2022, 30 (2): 165–193. https://doi.org/10.1162/evco_a_00298

@article{brockhoff2022,
    author = {Brockhoff, Dimo and Auger, Anne and Hansen, Nikolaus and Tu{\v s}ar, Tea},
    title = {Using Well-Understood Single-Objective Functions in Multiobjective Black-Box Optimization Test Suites},
    journal = {Evolutionary Computation},
    volume = {30},
    number = {2},
    pages = {165--193},
    year = {2022},
    month = {06},
    doi = {10.1162/evco_a_00298},
    url = {https://doi.org/10.1162/evco\_a\_00298}
}

References

Brockhoff, D., Auger, A., Hansen, N., and Tušar, T. (2022), “Using well-understood single-objective functions in multiobjective black-box optimization test suites,” Evolutionary Computation, 30, 165–193. https://doi.org/10.1162/evco_a_00298.
Hansen, N., Auger, A., Ros, R., Mersmann, O., Tušar, T., and Brockhoff, D. (2021), COCO: A platform for comparing continuous optimizers in a black-box setting,” Optimization Methods and Software, 36, 114–144. https://doi.org/10.1080/10556788.2020.1808977.