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Distribution of gradient angles for the bbob-biobj(-ext) Pareto set approximations


Shown are the empirical cumulative distribution functions (ECDFs) of the observed angles between the two (estimated) objective gradients on the best known Pareto set approximations for all 92 functions of the bbob-biobj(-ext) functions (more precisely, we display 1 plus the cosine of the angles). Instead of investigating all known solutions in the best available Pareto set approximations, we only do this for every 100th point to keep the file sizes low. The numbers of actually investigated points is shown in the figures for the last of the investigated instance of that particular dimension, here instances 1-5.

Click on each plot to enlarge.

ECDF of angles for F01 ECDF of angles for F02 ECDF of angles for F03 ECDF of angles for F04 ECDF of angles for F05 ECDF of angles for F06 ECDF of angles for F07 ECDF of angles for F08 ECDF of angles for F09 ECDF of angles for F10 ECDF of angles for F11 ECDF of angles for F12 ECDF of angles for F13 ECDF of angles for F14 ECDF of angles for F15 ECDF of angles for F16 ECDF of angles for F17 ECDF of angles for F18 ECDF of angles for F19 ECDF of angles for F20 ECDF of angles for F21 ECDF of angles for F22 ECDF of angles for F23 ECDF of angles for F24 ECDF of angles for F25 ECDF of angles for F26 ECDF of angles for F27 ECDF of angles for F28 ECDF of angles for F29 ECDF of angles for F30 ECDF of angles for F31 ECDF of angles for F32 ECDF of angles for F33 ECDF of angles for F34 ECDF of angles for F35 ECDF of angles for F36 ECDF of angles for F37 ECDF of angles for F38 ECDF of angles for F39 ECDF of angles for F40 ECDF of angles for F41 ECDF of angles for F42 ECDF of angles for F43 ECDF of angles for F44 ECDF of angles for F45 ECDF of angles for F46 ECDF of angles for F47 ECDF of angles for F48 ECDF of angles for F49 ECDF of angles for F50 ECDF of angles for F51 ECDF of angles for F52 ECDF of angles for F53 ECDF of angles for F54 ECDF of angles for F55 ECDF of angles for F56 ECDF of angles for F57 ECDF of angles for F58 ECDF of angles for F59 ECDF of angles for F60 ECDF of angles for F61 ECDF of angles for F62 ECDF of angles for F63 ECDF of angles for F64 ECDF of angles for F65 ECDF of angles for F66 ECDF of angles for F67 ECDF of angles for F68 ECDF of angles for F69 ECDF of angles for F70 ECDF of angles for F71 ECDF of angles for F72 ECDF of angles for F73 ECDF of angles for F74 ECDF of angles for F75 ECDF of angles for F76 ECDF of angles for F77 ECDF of angles for F78 ECDF of angles for F79 ECDF of angles for F80 ECDF of angles for F81 ECDF of angles for F82 ECDF of angles for F83 ECDF of angles for F84 ECDF of angles for F85 ECDF of angles for F86 ECDF of angles for F87 ECDF of angles for F88 ECDF of angles for F89 ECDF of angles for F90 ECDF of angles for F91 ECDF of angles for F92


The plots are retrieved from the bbob-biobj-plots GitHub repository.