References#

[1]

Charles Audet and Jr. Dennis, John E. Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, 17(1):188–217, 2006. doi:10.1137/040603371.

[2]

Charles Audet, Andrea Ianni, Sébastien Le Digabel, and Christophe Tribes. Reducing the number of function evaluations in mesh adaptive direct search algorithms. SIAM Journal on Optimization, 24(2):621–642, 2014. doi:10.1137/120895056.

[3]

Charles Audet, Sébastien Le Digabel, and Christophe Tribes. The mesh adaptive direct search algorithm for granular and discrete variables. SIAM Journal on Optimization, 29(2):1164–1189, 2019. doi:10.1137/18M1175872.

[4]

Charles Audet and Jr. Dennis, John E. A progressive barrier for derivative-free nonlinear programming. SIAM Journal on Optimization, 20(1):445–472, 2009. doi:10.1137/070692662.

[5]

Andrew R. Conn and Sébastien Le Digabel. Use of quadratic models with mesh-adaptive direct search for constrained black box optimization. Optimization Methods and Software, 28(1):139–158, 2013. doi:10.1080/10556788.2011.623162.

[6]

Charles Audet and Warren Hare. Derivative-Free and Blackbox Optimization. Springer Series in Operations Research and Financial Engineering. Springer, 2017. doi:10.1007/978-3-319-68913-5.

[7]

Andrzej Jaszkiewicz and Thibaut Lust. ND-tree-based update: a fast algorithm for the dynamic nondominance problem. IEEE Transactions on Evolutionary Computation, 22(5):778–791, 2018. doi:10.1109/TEVC.2018.2799684.

[8]

David Eriksson, Michael Pearce, Jacob Gardner, Ryan D. Turner, and Matthias Poloczek. Scalable global optimization via local Bayesian optimization. In Advances in Neural Information Processing Systems, volume 32. 2019.

[9]

Ahmed H. Bayoumy. StatLML: statistical machine learning library. 2022. URL: Ahmed-Bayoumy/SLML.

[10]

Ahmed H. Bayoumy. RAF: relative adequacy framework. 2022. URL: Ahmed-Bayoumy/RAF.

[11]

Nikolaus Hansen, Anne Auger, Raymond Ros, Olaf Mersmann, Tea Tušar, and Dimo Brockhoff. COCO: a platform for comparing continuous optimizers in a black-box setting. 2021. doi:10.1080/10556788.2020.1808977.

[12]

Charles Audet, Jean Bigeon, Dominique Cartier, Sébastien Le Digabel, and Ludovic Salomon. Dynamic improvements of static surrogates in direct search optimization. Optimization Letters, 2021.

[13]

Charles Audet, Sébastien Le Digabel, Viviane Rochon Montplaisir, and Christophe Tribes. Algorithm 1027: NOMAD version 4: nonlinear optimization with the MADS algorithm. ACM Transactions on Mathematical Software, 48(3):35:1–35:22, 2022. doi:10.1145/3544489.

[14]

Ahmed H. Bayoumy. OMADS: optimization using mesh adaptive direct search. 2022. URL: Ahmed-Bayoumy/OMADS, doi:10.5281/zenodo.23407559.