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Conference Papers Year : 2012

On the Properties of the R2 Indicator

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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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Dates and versions

hal-00722060 , version 1 (31-07-2012)

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Dimo Brockhoff, Tobias Wagner, Heike Trautmann. On the Properties of the R2 Indicator. GECCO'2012, Jul 2012, Philadelphia, United States. pp.465-472, ⟨10.1145/2330163.2330230⟩. ⟨hal-00722060⟩
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