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Star Discrepancy Minimization on 3D Unit Cube

0.0021Star Discrepancy (L*)IRACE optimized Kronecker sequences
-0.0010240.0200650.0411550.062245Apr 1, 2026

Evaluation results

MethodLinks
IRACE optimized Kronecker sequencesn (number of points)=5000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0021
IRACE optimized Kronecker sequencesn (number of points)=5000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0024
IRACE optimized Kronecker sequencesn (number of points)=4000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0026
Sobol' sequencen (number of points)=5000, d (dimension)=32026.040.0026
IRACE optimized Kronecker sequencesn (number of points)=3500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0027
IRACE optimized Kronecker sequencesn (number of points)=4000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0029
IRACE optimized Kronecker sequencesn (number of points)=3000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.003
IRACE optimized Kronecker sequencesn (number of points)=3500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0031
Sobol' sequencen (number of points)=4000, d (dimension)=32026.040.0031
IRACE optimized Kronecker sequencesn (number of points)=3000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0033
IRACE optimized Kronecker sequencesn (number of points)=2500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0037
IRACE optimized Kronecker sequencesn (number of points)=2500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0038
Sobol' sequencen (number of points)=3500, d (dimension)=32026.040.0038
Sobol' sequencen (number of points)=3000, d (dimension)=32026.040.0044
IRACE optimized Kronecker sequencesn (number of points)=2000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0044
IRACE optimized Kronecker sequencesn (number of points)=1750, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0047
IRACE optimized Kronecker sequencesn (number of points)=2000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0048
Sobol' sequencen (number of points)=2000, d (dimension)=32026.040.0048
IRACE optimized Kronecker sequencesn (number of points)=5000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0049
Sobol' sequencen (number of points)=2500, d (dimension)=32026.040.005
IRACE optimized Kronecker sequencesn (number of points)=4000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.005
L2 Subset methodn (number of points)=2000, d (dimension)=32026.040.005
IRACE optimized Kronecker sequencesn (number of points)=3500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0052
IRACE optimized Kronecker sequencesn (number of points)=3000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0054
IRACE optimized Kronecker sequencesn (number of points)=1750, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0055
IRACE optimized Kronecker sequencesn (number of points)=1500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0055
IRACE optimized Kronecker sequencesn (number of points)=1500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0057
IRACE optimized Kronecker sequencesn (number of points)=1250, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0059
IRACE optimized Kronecker sequencesn (number of points)=2500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0059
IRACE optimized Kronecker sequencesn (number of points)=2000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0062
Sobol' sequencen (number of points)=1750, d (dimension)=32026.040.0065
IRACE optimized Kronecker sequencesn (number of points)=1250, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0065
CMA-ES optimized Kronecker sequencesn (number of points)=1000, d (dimension)=32026.040.0066
IRACE optimized Kronecker sequencesn (number of points)=1750, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0068
IRACE optimized Kronecker sequencesn (number of points)=1500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.007
IRACE optimized Kronecker sequencesn (number of points)=1000, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.007
Sobol' sequencen (number of points)=1500, d (dimension)=32026.040.0071
IRACE optimized Kronecker sequencesn (number of points)=1000, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0074
IRACE optimized Kronecker sequencesn (number of points)=1250, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0077
IRACE optimized Kronecker sequencesn (number of points)=1000, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.008
L2 Subset methodn (number of points)=1000, d (dimension)=32026.040.0081
CMA-ES optimized Kronecker sequencesn (number of points)=750, d (dimension)=32026.040.0083
Sobol' sequencen (number of points)=1000, d (dimension)=32026.040.0084
Sobol' sequencen (number of points)=1250, d (dimension)=32026.040.0085
IRACE optimized Kronecker sequencesn (number of points)=750, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.009
IRACE optimized Kronecker sequencesn (number of points)=750, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0092
IRACE optimized Kronecker sequencesn (number of points)=750, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0101
CMA-ES optimized Kronecker sequencesn (number of points)=500, d (dimension)=32026.040.0112
L2 Subset methodn (number of points)=500, d (dimension)=32026.040.0113
Sobol' sequencen (number of points)=750, d (dimension)=32026.040.0124
IRACE optimized Kronecker sequencesn (number of points)=500, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0125
IRACE optimized Kronecker sequencesn (number of points)=500, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0134
IRACE optimized Kronecker sequencesn (number of points)=500, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.014
Sobol' sequencen (number of points)=500, d (dimension)=32026.040.0152
CMA-ES optimized Kronecker sequencesn (number of points)=300, d (dimension)=32026.040.0183
L2 Subset methodn (number of points)=250, d (dimension)=32026.040.0184
IRACE optimized Kronecker sequencesn (number of points)=300, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0185
IRACE optimized Kronecker sequencesn (number of points)=300, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0197
CMA-ES optimized Kronecker sequencesn (number of points)=250, d (dimension)=32026.040.0202
IRACE optimized Kronecker sequencesn (number of points)=250, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0216
L2 Subset methodn (number of points)=200, d (dimension)=32026.040.0218
IRACE optimized Kronecker sequencesn (number of points)=250, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0221
IRACE optimized Kronecker sequencesn (number of points)=300, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0224
IRACE optimized Kronecker sequencesn (number of points)=250, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0241
CMA-ES optimized Kronecker sequencesn (number of points)=200, d (dimension)=32026.040.0247
L2 Subset methodn (number of points)=150, d (dimension)=32026.040.025
IRACE optimized Kronecker sequencesn (number of points)=200, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0259
Sobol' sequencen (number of points)=250, d (dimension)=32026.040.0265
Sobol' sequencen (number of points)=300, d (dimension)=32026.040.0269
IRACE optimized Kronecker sequencesn (number of points)=200, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0276
CMA-ES optimized Kronecker sequencesn (number of points)=150, d (dimension)=32026.040.0301
IRACE optimized Kronecker sequencesn (number of points)=200, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0301
IRACE optimized Kronecker sequencesn (number of points)=150, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0333
IRACE optimized Kronecker sequencesn (number of points)=150, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0349
Sobol' sequencen (number of points)=200, d (dimension)=32026.040.0365
L2 Subset methodn (number of points)=100, d (dimension)=32026.040.0374
IRACE optimized Kronecker sequencesn (number of points)=150, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0401
CMA-ES optimized Kronecker sequencesn (number of points)=100, d (dimension)=32026.040.0402
Sobol' sequencen (number of points)=150, d (dimension)=32026.040.0406
IRACE optimized Kronecker sequencesn (number of points)=100, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0433
CMA-ES optimized Kronecker sequencesn (number of points)=80, d (dimension)=32026.040.0471
IRACE optimized Kronecker sequencesn (number of points)=100, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.05
IRACE optimized Kronecker sequencesn (number of points)=80, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.051
L2 Subset methodn (number of points)=50, d (dimension)=32026.040.0534
L2 Subset methodn (number of points)=80, d (dimension)=32026.040.0547
CMA-ES optimized Kronecker sequencesn (number of points)=60, d (dimension)=32026.040.058
IRACE optimized Kronecker sequencesn (number of points)=100, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0602
Sobol' sequencen (number of points)=100, d (dimension)=32026.040.0606
L2 Subset methodn (number of points)=60, d (dimension)=32026.040.0606
IRACE optimized Kronecker sequencesn (number of points)=60, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0617
IRACE optimized Kronecker sequencesn (number of points)=80, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.062
CMA-ES optimized Kronecker sequencesn (number of points)=50, d (dimension)=32026.040.0637
L2 Subset methodn (number of points)=40, d (dimension)=32026.040.0639
IRACE optimized Kronecker sequencesn (number of points)=50, d (dimension)=3, Optimization budget (IRACE iterations)=2002026.040.0699
CMA-ES optimized Kronecker sequencesn (number of points)=40, d (dimension)=32026.040.0729
IRACE optimized Kronecker sequencesn (number of points)=80, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0753
IRACE optimized Kronecker sequencesn (number of points)=60, d (dimension)=3, Optimization budget (IRACE iterations)=25002026.040.0764
Sobol' sequencen (number of points)=80, d (dimension)=32026.040.0786
L2 Subset methodn (number of points)=32, d (dimension)=32026.040.0793
IRACE optimized Kronecker sequencesn (number of points)=60, d (dimension)=3, Optimization budget (IRACE iterations)=15002026.040.0802