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salomonl avatar salomonl commented on July 28, 2024

Infortunately, NOMAD.jl is based on the software NOMAD 4, which does not implement a biobjective optimization algorithm. You have to use the C++ version of NOMAD 3.9 to have this functionality.

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ufechner7 avatar ufechner7 commented on July 28, 2024

Well, you can always create a resulting objective that is a linear combination of any number of objectives with different weights. I think this will just work. By changing the weights you get the Pareto front...

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salomonl avatar salomonl commented on July 28, 2024

Not really, with this type of approach, you could miss non-convex parts of the Pareto front. You could reimplement the BiMADS algorithm given in this paper

MULTIOBJECTIVE OPTIMIZATION THROUGH A SERIES OF SINGLE-OBJECTIVE FORMULATIONS

or if you need more objectives the MultiMADS algorithm

A mesh adaptive direct search algorithm for multiobjective optimization

If you have enough patience, note that we are planning to upgrade NOMAD.jl, to make use of a new multiobjective algorithm, DMulti-MADS, implemented in NOMAD 4 but still in beta testing for the moment.

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