On the Properties of the R2 Indicator
D. Brockhoff, T. Wagner, H. Trautmann, in: Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation, Association for Computing Machinery, New York, NY, USA, 2012, pp. 465–472.
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Conference Paper
| English
Author
Brockhoff, Dimo;
Wagner, Tobias;
Trautmann, HeikeLibreCat 
Abstract
In multiobjective optimization, set-based performance indicators are commonly used to assess the quality of a Pareto front approximation. Based on the scalarization obtained by these indicators, a performance comparison of multiobjective optimization algorithms becomes possible. The R2 and the Hypervolume (HV) indicator represent two recommended approaches which have shown a correlated behavior in recent empirical studies. Whereas the HV indicator has been comprehensively analyzed in the last years, almost no studies on the R2 indicator exist. In this paper, we thus perform a comprehensive investigation of the properties of the R2 indicator in a theoretical and empirical way. The influence of the number and distribution of the weight vectors on the optimal distribution of μ solutions is analyzed. Based on a comparative analysis, specific characteristics and differences of the R2 and HV indicator are presented.
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Proceedings Title
Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation
forms.conference.field.series_title_volume.label
GECCO ’12
Page
465–472
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Cite this
Brockhoff D, Wagner T, Trautmann H. On the Properties of the R2 Indicator. In: Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation. GECCO ’12. Association for Computing Machinery; 2012:465–472. doi:10.1145/2330163.2330230
Brockhoff, D., Wagner, T., & Trautmann, H. (2012). On the Properties of the R2 Indicator. Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation, 465–472. https://doi.org/10.1145/2330163.2330230
@inproceedings{Brockhoff_Wagner_Trautmann_2012, place={New York, NY, USA}, series={GECCO ’12}, title={On the Properties of the R2 Indicator}, DOI={10.1145/2330163.2330230}, booktitle={Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation}, publisher={Association for Computing Machinery}, author={Brockhoff, Dimo and Wagner, Tobias and Trautmann, Heike}, year={2012}, pages={465–472}, collection={GECCO ’12} }
Brockhoff, Dimo, Tobias Wagner, and Heike Trautmann. “On the Properties of the R2 Indicator.” In Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation, 465–472. GECCO ’12. New York, NY, USA: Association for Computing Machinery, 2012. https://doi.org/10.1145/2330163.2330230.
D. Brockhoff, T. Wagner, and H. Trautmann, “On the Properties of the R2 Indicator,” in Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation, 2012, pp. 465–472, doi: 10.1145/2330163.2330230.
Brockhoff, Dimo, et al. “On the Properties of the R2 Indicator.” Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation, Association for Computing Machinery, 2012, pp. 465–472, doi:10.1145/2330163.2330230.
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