datasetNmethodenergy distanceMMD (Gaussian, median σ)seconds
mixture-2d1000support points · energy0.0003231.57e-60.41
mixture-2d1000support points · gaussian0.002643.21e-50.21
mixture-2d1000herding · energy0.0004391.08e-50.0018
mixture-2d1000herding · gaussian0.007721.9e-50.064
mixture-2d1000kernel thinning · energy0.0003741.1e-60.0058
mixture-2d1000kernel thinning · gaussian0.001567.92e-70.047
mixture-2d1000random0.0120.00258–
normal-10d1000support points · energy0.02150.001870.59
normal-10d1000support points · gaussian0.02470.002241.2
normal-10d1000herding · energy0.008220.0001140.004
normal-10d1000herding · gaussian0.009279.82e-50.018
normal-10d1000kernel thinning · energy0.00840.0001130.0082
normal-10d1000kernel thinning · gaussian0.00990.0001240.043
normal-10d1000random0.02550.00227–
uniform-5d1000support points · energy0.00470.0002550.34
uniform-5d1000support points · gaussian0.01580.001890.27
uniform-5d1000herding · energy0.003433.62e-50.0021
uniform-5d1000herding · gaussian0.005353.54e-50.015
uniform-5d1000kernel thinning · energy0.003442.02e-50.007
uniform-5d1000kernel thinning · gaussian0.005042.11e-50.037
uniform-5d1000random0.01730.00217–
t3-3d1000support points · energy0.001630.0001160.42
t3-3d1000support points · gaussian0.005860.0008410.88
t3-3d1000herding · energy0.001749.8e-50.0022
t3-3d1000herding · gaussian0.00357.58e-50.02
t3-3d1000kernel thinning · energy0.001628.52e-50.0047
t3-3d1000kernel thinning · gaussian0.002896.47e-50.034
t3-3d1000random0.01610.00375–
mixture-2d10000support points · energy0.0001733.2e-53.6
mixture-2d10000support points · gaussian0.00031.74e-65.4
mixture-2d10000herding · energy1.42e-51.87e-70.14
mixture-2d10000herding · gaussian0.004322.85e-70.44
mixture-2d10000kernel thinning · energy1.28e-56.92e-91.2
mixture-2d10000kernel thinning · gaussian0.0002077.24e-93.2
mixture-2d10000random0.0008850.000166–
normal-10d10000support points · energy0.00250.0002158.9
normal-10d10000support points · gaussian0.002990.0002899.5
normal-10d10000herding · energy0.00061.91e-60.21
normal-10d10000herding · gaussian0.0008732.17e-60.52
normal-10d10000kernel thinning · energy0.0006342.27e-61.9
normal-10d10000kernel thinning · gaussian0.0008242.67e-63.0
normal-10d10000random0.002080.000164–
uniform-5d10000support points · energy0.0008447.24e-55.9
uniform-5d10000support points · gaussian0.001870.0002439.7
uniform-5d10000herding · energy0.0001993.2e-70.14
uniform-5d10000herding · gaussian0.000464.64e-70.49
uniform-5d10000kernel thinning · energy0.0002051.48e-71.5
uniform-5d10000kernel thinning · gaussian0.0004393.23e-72.7
uniform-5d10000random0.001460.00016–
t3-3d10000support points · energy0.0002624.82e-54.3
t3-3d10000support points · gaussian0.0005838.06e-513.0
t3-3d10000herding · energy8.06e-52.77e-60.13
t3-3d10000herding · gaussian0.000822.25e-60.42
t3-3d10000kernel thinning · energy7.97e-52.72e-61.4
t3-3d10000kernel thinning · gaussian0.0002841.9e-62.7
t3-3d10000random0.001510.000305–