Paper Info
Title
On the properties of the R2 indicator
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.
Year
DOI
Venue
2012
10.1145/2330163.2330230
GECCO
Keywords
Field
DocType
recent empirical study,hv indicator,pareto front approximation,multiobjective optimization algorithm,set-based performance indicator,optimal distribution,performance comparison,comparative analysis,multiobjective optimization,r2 indicator,performance indicator,pareto front,empirical study
Performance indicator,Mathematical optimization,Computer science,Multi-objective optimization,Empirical research
Conference
Citations 
PageRank 
References 
52
1.38
11
Authors
3
Name
Order
Citations
PageRank
Dimo Brockhoff194853.97
Tobias Wagner21379.96
Heike Trautmann362343.22