A Fast Way of Calculating Exact Hypervolumes

作者:While, Lyndon*; Bradstreet, Lucas; Barone, Luigi
来源:IEEE Transactions on Evolutionary Computation, 2012, 16(1): 86-95.
DOI:10.1109/TEVC.2010.2077298

摘要

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.

  • 出版日期2012-2