A Fast Way of Calculating Exact Hypervolumes

We describe a new algorithm WFG for calculating hypervolume exactly. WFG is based on the recently-described observation that the exclusive hypervolume of a point p relative to a set S is equal to the difference between the inclusive hypervolume of p and the hypervolume of S with each point limited b...

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Veröffentlicht in:IEEE transactions on evolutionary computation 2012-02, Vol.16 (1), p.86-95
Hauptverfasser: While, L., Bradstreet, L., Barone, L.
Format: Artikel
Sprache:eng
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Zusammenfassung:We describe a new algorithm WFG for calculating hypervolume exactly. WFG is based on the recently-described observation that the exclusive hypervolume of a point p relative to a set S is equal to the difference between the inclusive hypervolume of p and the hypervolume of S with each point limited by the objective values in p . WFG applies this technique iteratively over a set to calculate its hypervolume. Experiments show that WFG is substantially faster (in five or more objectives) than all previously-described algorithms that calculate hypervolume exactly.
ISSN:1089-778X
1941-0026
DOI:10.1109/TEVC.2010.2077298