TY - GEN
T1 - On the properties of the R2 indicator
AU - Brockhoff, Dimo
AU - Wagner, Tobias
AU - Trautmann, Heike
PY - 2012/8/13
Y1 - 2012/8/13
N2 - 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.
AB - 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.
KW - hypervolume indicator
KW - multiobjective optimization
KW - performance assessment
KW - r2 indicator
U2 - 10.1145/2330163.2330230
DO - 10.1145/2330163.2330230
M3 - Conference contribution
AN - SCOPUS:84864669908
SN - 9781450311779
T3 - GECCO'12 - Proceedings of the 14th International Conference on Genetic and Evolutionary Computation
SP - 465
EP - 472
BT - GECCO'12 - Proceedings of the 14th International Conference on Genetic and Evolutionary Computation
T2 - 14th International Conference on Genetic and Evolutionary Computation, GECCO'12
Y2 - 7 July 2012 through 11 July 2012
ER -