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Distribution Learning on Gaussian distribution rho = 2 (test)

0.131Wasserstein Distance ErrorThm. 3.1
-0.7665.2887511.343517.39825Feb 8, 2026
Updated 8mo ago

Evaluation results

MethodLinks
Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^6, Optimal support size (Mopt)=1002026.020.131
FournierDimensionality (d)=2, Sample size (N)=10^6, Optimal support size (Mopt)=1002026.020.166
Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^6, Optimal support size (Mopt)=1002026.020.182
Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^5, Optimal support size (Mopt)=1002026.020.201
Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^5, Optimal support size (Mopt)=1002026.020.291
FournierDimensionality (d)=2, Sample size (N)=10^5, Optimal support size (Mopt)=1002026.020.295
Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^4, Optimal support size (Mopt)=402026.020.334
Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^4, Optimal support size (Mopt)=402026.020.464
Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^3, Optimal support size (Mopt)=202026.020.518
FournierDimensionality (d)=2, Sample size (N)=10^4, Optimal support size (Mopt)=402026.020.525
Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^6, Optimal support size (Mopt)=2002026.020.683
Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^3, Optimal support size (Mopt)=202026.020.693
Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^6, Optimal support size (Mopt)=2002026.020.728
Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^5, Optimal support size (Mopt)=5002026.020.751
FournierDimensionality (d)=2, Sample size (N)=10^3, Optimal support size (Mopt)=202026.020.934
Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^5, Optimal support size (Mopt)=5002026.020.967
Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^4, Optimal support size (Mopt)=752026.020.983
Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^3, Optimal support size (Mopt)=202026.021.133
Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^4, Optimal support size (Mopt)=752026.021.193
Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^3, Optimal support size (Mopt)=202026.021.292
Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.021.486
Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.021.618
Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.021.63
FournierDimensionality (d)=10, Sample size (N)=10^6, Optimal support size (Mopt)=2002026.021.699
Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^4, Optimal support size (Mopt)=402026.021.777
Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.021.816
Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^3, Optimal support size (Mopt)=52026.021.842
Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^4, Optimal support size (Mopt)=402026.021.946
Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^3, Optimal support size (Mopt)=52026.022
Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.022.052
Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.022.162
Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.022.21
FournierDimensionality (d)=10, Sample size (N)=10^5, Optimal support size (Mopt)=5002026.022.258
Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^4, Optimal support size (Mopt)=502026.022.294
Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.022.334
Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^4, Optimal support size (Mopt)=502026.022.408
Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^3, Optimal support size (Mopt)=52026.022.422
Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^3, Optimal support size (Mopt)=52026.022.579
FournierDimensionality (d)=10, Sample size (N)=10^4, Optimal support size (Mopt)=752026.023.054
FournierDimensionality (d)=10, Sample size (N)=10^3, Optimal support size (Mopt)=202026.024.221
FournierDimensionality (d)=50, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.0210.972
FournierDimensionality (d)=50, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.0211.864
FournierDimensionality (d)=50, Sample size (N)=10^4, Optimal support size (Mopt)=402026.0213.09
FournierDimensionality (d)=50, Sample size (N)=10^3, Optimal support size (Mopt)=52026.0214.892
FournierDimensionality (d)=100, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.0217.97
FournierDimensionality (d)=100, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.0218.936
FournierDimensionality (d)=100, Sample size (N)=10^4, Optimal support size (Mopt)=502026.0220.351
FournierDimensionality (d)=100, Sample size (N)=10^3, Optimal support size (Mopt)=52026.0222.556