Star Discrepancy Minimization on 3D Unit Cube
0.0021Star Discrepancy (L*)IRACE optimized Kronecker sequences
Evaluation Results
| Method | Links | |
|---|---|---|
| IRACE optimized Kronecker sequencesn (number of points)=5000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0021 | |
| IRACE optimized Kronecker sequencesn (number of points)=5000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0024 | |
| IRACE optimized Kronecker sequencesn (number of points)=4000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0026 | |
| Sobol' sequencen (number of points)=5000, d (dimension)=32026.04 | 0.0026 | |
| IRACE optimized Kronecker sequencesn (number of points)=3500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0027 | |
| IRACE optimized Kronecker sequencesn (number of points)=4000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0029 | |
| IRACE optimized Kronecker sequencesn (number of points)=3000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.003 | |
| IRACE optimized Kronecker sequencesn (number of points)=3500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0031 | |
| Sobol' sequencen (number of points)=4000, d (dimension)=32026.04 | 0.0031 | |
| IRACE optimized Kronecker sequencesn (number of points)=3000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0033 | |
| IRACE optimized Kronecker sequencesn (number of points)=2500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0037 | |
| IRACE optimized Kronecker sequencesn (number of points)=2500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0038 | |
| Sobol' sequencen (number of points)=3500, d (dimension)=32026.04 | 0.0038 | |
| Sobol' sequencen (number of points)=3000, d (dimension)=32026.04 | 0.0044 | |
| IRACE optimized Kronecker sequencesn (number of points)=2000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0044 | |
| IRACE optimized Kronecker sequencesn (number of points)=1750, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0047 | |
| IRACE optimized Kronecker sequencesn (number of points)=2000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0048 | |
| Sobol' sequencen (number of points)=2000, d (dimension)=32026.04 | 0.0048 | |
| IRACE optimized Kronecker sequencesn (number of points)=5000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0049 | |
| Sobol' sequencen (number of points)=2500, d (dimension)=32026.04 | 0.005 | |
| IRACE optimized Kronecker sequencesn (number of points)=4000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.005 | |
| L2 Subset methodn (number of points)=2000, d (dimension)=32026.04 | 0.005 | |
| IRACE optimized Kronecker sequencesn (number of points)=3500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0052 | |
| IRACE optimized Kronecker sequencesn (number of points)=3000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0054 | |
| IRACE optimized Kronecker sequencesn (number of points)=1750, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0055 | |
| IRACE optimized Kronecker sequencesn (number of points)=1500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0055 | |
| IRACE optimized Kronecker sequencesn (number of points)=1500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0057 | |
| IRACE optimized Kronecker sequencesn (number of points)=1250, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0059 | |
| IRACE optimized Kronecker sequencesn (number of points)=2500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0059 | |
| IRACE optimized Kronecker sequencesn (number of points)=2000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0062 | |
| Sobol' sequencen (number of points)=1750, d (dimension)=32026.04 | 0.0065 | |
| IRACE optimized Kronecker sequencesn (number of points)=1250, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0065 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=1000, d (dimension)=32026.04 | 0.0066 | |
| IRACE optimized Kronecker sequencesn (number of points)=1750, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0068 | |
| IRACE optimized Kronecker sequencesn (number of points)=1500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.007 | |
| IRACE optimized Kronecker sequencesn (number of points)=1000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.007 | |
| Sobol' sequencen (number of points)=1500, d (dimension)=32026.04 | 0.0071 | |
| IRACE optimized Kronecker sequencesn (number of points)=1000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0074 | |
| IRACE optimized Kronecker sequencesn (number of points)=1250, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0077 | |
| IRACE optimized Kronecker sequencesn (number of points)=1000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.008 | |
| L2 Subset methodn (number of points)=1000, d (dimension)=32026.04 | 0.0081 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=750, d (dimension)=32026.04 | 0.0083 | |
| Sobol' sequencen (number of points)=1000, d (dimension)=32026.04 | 0.0084 | |
| Sobol' sequencen (number of points)=1250, d (dimension)=32026.04 | 0.0085 | |
| IRACE optimized Kronecker sequencesn (number of points)=750, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.009 | |
| IRACE optimized Kronecker sequencesn (number of points)=750, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0092 | |
| IRACE optimized Kronecker sequencesn (number of points)=750, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0101 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=500, d (dimension)=32026.04 | 0.0112 | |
| L2 Subset methodn (number of points)=500, d (dimension)=32026.04 | 0.0113 | |
| Sobol' sequencen (number of points)=750, d (dimension)=32026.04 | 0.0124 | |
| IRACE optimized Kronecker sequencesn (number of points)=500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0125 | |
| IRACE optimized Kronecker sequencesn (number of points)=500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0134 | |
| IRACE optimized Kronecker sequencesn (number of points)=500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.014 | |
| Sobol' sequencen (number of points)=500, d (dimension)=32026.04 | 0.0152 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=300, d (dimension)=32026.04 | 0.0183 | |
| L2 Subset methodn (number of points)=250, d (dimension)=32026.04 | 0.0184 | |
| IRACE optimized Kronecker sequencesn (number of points)=300, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0185 | |
| IRACE optimized Kronecker sequencesn (number of points)=300, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0197 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=250, d (dimension)=32026.04 | 0.0202 | |
| IRACE optimized Kronecker sequencesn (number of points)=250, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0216 | |
| L2 Subset methodn (number of points)=200, d (dimension)=32026.04 | 0.0218 | |
| IRACE optimized Kronecker sequencesn (number of points)=250, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0221 | |
| IRACE optimized Kronecker sequencesn (number of points)=300, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0224 | |
| IRACE optimized Kronecker sequencesn (number of points)=250, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0241 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=200, d (dimension)=32026.04 | 0.0247 | |
| L2 Subset methodn (number of points)=150, d (dimension)=32026.04 | 0.025 | |
| IRACE optimized Kronecker sequencesn (number of points)=200, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0259 | |
| Sobol' sequencen (number of points)=250, d (dimension)=32026.04 | 0.0265 | |
| Sobol' sequencen (number of points)=300, d (dimension)=32026.04 | 0.0269 | |
| IRACE optimized Kronecker sequencesn (number of points)=200, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0276 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=150, d (dimension)=32026.04 | 0.0301 | |
| IRACE optimized Kronecker sequencesn (number of points)=200, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0301 | |
| IRACE optimized Kronecker sequencesn (number of points)=150, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0333 | |
| IRACE optimized Kronecker sequencesn (number of points)=150, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0349 | |
| Sobol' sequencen (number of points)=200, d (dimension)=32026.04 | 0.0365 | |
| L2 Subset methodn (number of points)=100, d (dimension)=32026.04 | 0.0374 | |
| IRACE optimized Kronecker sequencesn (number of points)=150, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0401 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=100, d (dimension)=32026.04 | 0.0402 | |
| Sobol' sequencen (number of points)=150, d (dimension)=32026.04 | 0.0406 | |
| IRACE optimized Kronecker sequencesn (number of points)=100, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0433 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=80, d (dimension)=32026.04 | 0.0471 | |
| IRACE optimized Kronecker sequencesn (number of points)=100, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.05 | |
| IRACE optimized Kronecker sequencesn (number of points)=80, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.051 | |
| L2 Subset methodn (number of points)=50, d (dimension)=32026.04 | 0.0534 | |
| L2 Subset methodn (number of points)=80, d (dimension)=32026.04 | 0.0547 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=60, d (dimension)=32026.04 | 0.058 | |
| IRACE optimized Kronecker sequencesn (number of points)=100, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0602 | |
| Sobol' sequencen (number of points)=100, d (dimension)=32026.04 | 0.0606 | |
| L2 Subset methodn (number of points)=60, d (dimension)=32026.04 | 0.0606 | |
| IRACE optimized Kronecker sequencesn (number of points)=60, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0617 | |
| IRACE optimized Kronecker sequencesn (number of points)=80, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.062 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=50, d (dimension)=32026.04 | 0.0637 | |
| L2 Subset methodn (number of points)=40, d (dimension)=32026.04 | 0.0639 | |
| IRACE optimized Kronecker sequencesn (number of points)=50, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.04 | 0.0699 | |
| CMA-ES optimized Kronecker sequencesn (number of points)=40, d (dimension)=32026.04 | 0.0729 | |
| IRACE optimized Kronecker sequencesn (number of points)=80, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0753 | |
| IRACE optimized Kronecker sequencesn (number of points)=60, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.04 | 0.0764 | |
| Sobol' sequencen (number of points)=80, d (dimension)=32026.04 | 0.0786 | |
| L2 Subset methodn (number of points)=32, d (dimension)=32026.04 | 0.0793 | |
| IRACE optimized Kronecker sequencesn (number of points)=60, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.04 | 0.0802 |