| dataset | N | method | energy distance | MMD (Gaussian, median σ) | seconds |
|---|---|---|---|---|---|
| mixture-2d | 1000 | support points · energy | 0.000323 | 1.57e-6 | 0.41 |
| mixture-2d | 1000 | support points · gaussian | 0.00264 | 3.21e-5 | 0.21 |
| mixture-2d | 1000 | herding · energy | 0.000439 | 1.08e-5 | 0.0018 |
| mixture-2d | 1000 | herding · gaussian | 0.00772 | 1.9e-5 | 0.064 |
| mixture-2d | 1000 | kernel thinning · energy | 0.000374 | 1.1e-6 | 0.0058 |
| mixture-2d | 1000 | kernel thinning · gaussian | 0.00156 | 7.92e-7 | 0.047 |
| mixture-2d | 1000 | random | 0.012 | 0.00258 | – |
| normal-10d | 1000 | support points · energy | 0.0215 | 0.00187 | 0.59 |
| normal-10d | 1000 | support points · gaussian | 0.0247 | 0.00224 | 1.2 |
| normal-10d | 1000 | herding · energy | 0.00822 | 0.000114 | 0.004 |
| normal-10d | 1000 | herding · gaussian | 0.00927 | 9.82e-5 | 0.018 |
| normal-10d | 1000 | kernel thinning · energy | 0.0084 | 0.000113 | 0.0082 |
| normal-10d | 1000 | kernel thinning · gaussian | 0.0099 | 0.000124 | 0.043 |
| normal-10d | 1000 | random | 0.0255 | 0.00227 | – |
| uniform-5d | 1000 | support points · energy | 0.0047 | 0.000255 | 0.34 |
| uniform-5d | 1000 | support points · gaussian | 0.0158 | 0.00189 | 0.27 |
| uniform-5d | 1000 | herding · energy | 0.00343 | 3.62e-5 | 0.0021 |
| uniform-5d | 1000 | herding · gaussian | 0.00535 | 3.54e-5 | 0.015 |
| uniform-5d | 1000 | kernel thinning · energy | 0.00344 | 2.02e-5 | 0.007 |
| uniform-5d | 1000 | kernel thinning · gaussian | 0.00504 | 2.11e-5 | 0.037 |
| uniform-5d | 1000 | random | 0.0173 | 0.00217 | – |
| t3-3d | 1000 | support points · energy | 0.00163 | 0.000116 | 0.42 |
| t3-3d | 1000 | support points · gaussian | 0.00586 | 0.000841 | 0.88 |
| t3-3d | 1000 | herding · energy | 0.00174 | 9.8e-5 | 0.0022 |
| t3-3d | 1000 | herding · gaussian | 0.0035 | 7.58e-5 | 0.02 |
| t3-3d | 1000 | kernel thinning · energy | 0.00162 | 8.52e-5 | 0.0047 |
| t3-3d | 1000 | kernel thinning · gaussian | 0.00289 | 6.47e-5 | 0.034 |
| t3-3d | 1000 | random | 0.0161 | 0.00375 | – |
| mixture-2d | 10000 | support points · energy | 0.000173 | 3.2e-5 | 3.6 |
| mixture-2d | 10000 | support points · gaussian | 0.0003 | 1.74e-6 | 5.4 |
| mixture-2d | 10000 | herding · energy | 1.42e-5 | 1.87e-7 | 0.14 |
| mixture-2d | 10000 | herding · gaussian | 0.00432 | 2.85e-7 | 0.44 |
| mixture-2d | 10000 | kernel thinning · energy | 1.28e-5 | 6.92e-9 | 1.2 |
| mixture-2d | 10000 | kernel thinning · gaussian | 0.000207 | 7.24e-9 | 3.2 |
| mixture-2d | 10000 | random | 0.000885 | 0.000166 | – |
| normal-10d | 10000 | support points · energy | 0.0025 | 0.000215 | 8.9 |
| normal-10d | 10000 | support points · gaussian | 0.00299 | 0.000289 | 9.5 |
| normal-10d | 10000 | herding · energy | 0.0006 | 1.91e-6 | 0.21 |
| normal-10d | 10000 | herding · gaussian | 0.000873 | 2.17e-6 | 0.52 |
| normal-10d | 10000 | kernel thinning · energy | 0.000634 | 2.27e-6 | 1.9 |
| normal-10d | 10000 | kernel thinning · gaussian | 0.000824 | 2.67e-6 | 3.0 |
| normal-10d | 10000 | random | 0.00208 | 0.000164 | – |
| uniform-5d | 10000 | support points · energy | 0.000844 | 7.24e-5 | 5.9 |
| uniform-5d | 10000 | support points · gaussian | 0.00187 | 0.000243 | 9.7 |
| uniform-5d | 10000 | herding · energy | 0.000199 | 3.2e-7 | 0.14 |
| uniform-5d | 10000 | herding · gaussian | 0.00046 | 4.64e-7 | 0.49 |
| uniform-5d | 10000 | kernel thinning · energy | 0.000205 | 1.48e-7 | 1.5 |
| uniform-5d | 10000 | kernel thinning · gaussian | 0.000439 | 3.23e-7 | 2.7 |
| uniform-5d | 10000 | random | 0.00146 | 0.00016 | – |
| t3-3d | 10000 | support points · energy | 0.000262 | 4.82e-5 | 4.3 |
| t3-3d | 10000 | support points · gaussian | 0.000583 | 8.06e-5 | 13.0 |
| t3-3d | 10000 | herding · energy | 8.06e-5 | 2.77e-6 | 0.13 |
| t3-3d | 10000 | herding · gaussian | 0.00082 | 2.25e-6 | 0.42 |
| t3-3d | 10000 | kernel thinning · energy | 7.97e-5 | 2.72e-6 | 1.4 |
| t3-3d | 10000 | kernel thinning · gaussian | 0.000284 | 1.9e-6 | 2.7 |
| t3-3d | 10000 | random | 0.00151 | 0.000305 | – |