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Approximating Hypervolume and Hypervolume Contributions Using Polar Coordinate
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DOI：10.1109/TEVC.2019.2895108.png)
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Abstract
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The hypervolume and hypervolume contributions are widely used in multiobjective evolutionary optimization. However, their exact calculation is NP-hard. By definition, hypervolume is anis the number of objectives). Using polar coordinate, this paper transforms the hypervolume into an -D integral, and then proposes two approximation methods for computing the hypervolume and hypervolume contributions. Numerical experiments have been conducted to investigate the performance of our proposed methods.
Keywords:
Approximation methods
Approximation algorithms
Monte Carlo methods
Manganese
Pareto optimization
Transforms
Approximation algorithms
hypervolume
hypervolume contribution
multiobjective optimization
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