Distribution Learning on Gaussian distribution rho = 2 (test)
0.131Wasserstein Distance ErrorThm. 3.1
Evaluation Results
| Method | Links | |
|---|---|---|
| Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^6, Optimal support size (Mopt)=1002026.02 | 0.131 | |
| FournierDimensionality (d)=2, Sample size (N)=10^6, Optimal support size (Mopt)=1002026.02 | 0.166 | |
| Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^6, Optimal support size (Mopt)=1002026.02 | 0.182 | |
| Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^5, Optimal support size (Mopt)=1002026.02 | 0.201 | |
| Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^5, Optimal support size (Mopt)=1002026.02 | 0.291 | |
| FournierDimensionality (d)=2, Sample size (N)=10^5, Optimal support size (Mopt)=1002026.02 | 0.295 | |
| Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^4, Optimal support size (Mopt)=402026.02 | 0.334 | |
| Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^4, Optimal support size (Mopt)=402026.02 | 0.464 | |
| Thm. 3.1Dimensionality (d)=2, Sample size (N)=10^3, Optimal support size (Mopt)=202026.02 | 0.518 | |
| FournierDimensionality (d)=2, Sample size (N)=10^4, Optimal support size (Mopt)=402026.02 | 0.525 | |
| Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^6, Optimal support size (Mopt)=2002026.02 | 0.683 | |
| Prop. 3.2Dimensionality (d)=2, Sample size (N)=10^3, Optimal support size (Mopt)=202026.02 | 0.693 | |
| Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^6, Optimal support size (Mopt)=2002026.02 | 0.728 | |
| Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^5, Optimal support size (Mopt)=5002026.02 | 0.751 | |
| FournierDimensionality (d)=2, Sample size (N)=10^3, Optimal support size (Mopt)=202026.02 | 0.934 | |
| Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^5, Optimal support size (Mopt)=5002026.02 | 0.967 | |
| Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^4, Optimal support size (Mopt)=752026.02 | 0.983 | |
| Thm. 3.1Dimensionality (d)=10, Sample size (N)=10^3, Optimal support size (Mopt)=202026.02 | 1.133 | |
| Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^4, Optimal support size (Mopt)=752026.02 | 1.193 | |
| Prop. 3.2Dimensionality (d)=10, Sample size (N)=10^3, Optimal support size (Mopt)=202026.02 | 1.292 | |
| Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.02 | 1.486 | |
| Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.02 | 1.618 | |
| Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.02 | 1.63 | |
| FournierDimensionality (d)=10, Sample size (N)=10^6, Optimal support size (Mopt)=2002026.02 | 1.699 | |
| Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^4, Optimal support size (Mopt)=402026.02 | 1.777 | |
| Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.02 | 1.816 | |
| Thm. 3.1Dimensionality (d)=50, Sample size (N)=10^3, Optimal support size (Mopt)=52026.02 | 1.842 | |
| Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^4, Optimal support size (Mopt)=402026.02 | 1.946 | |
| Prop. 3.2Dimensionality (d)=50, Sample size (N)=10^3, Optimal support size (Mopt)=52026.02 | 2 | |
| Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.02 | 2.052 | |
| Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.02 | 2.162 | |
| Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.02 | 2.21 | |
| FournierDimensionality (d)=10, Sample size (N)=10^5, Optimal support size (Mopt)=5002026.02 | 2.258 | |
| Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^4, Optimal support size (Mopt)=502026.02 | 2.294 | |
| Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.02 | 2.334 | |
| Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^4, Optimal support size (Mopt)=502026.02 | 2.408 | |
| Thm. 3.1Dimensionality (d)=100, Sample size (N)=10^3, Optimal support size (Mopt)=52026.02 | 2.422 | |
| Prop. 3.2Dimensionality (d)=100, Sample size (N)=10^3, Optimal support size (Mopt)=52026.02 | 2.579 | |
| FournierDimensionality (d)=10, Sample size (N)=10^4, Optimal support size (Mopt)=752026.02 | 3.054 | |
| FournierDimensionality (d)=10, Sample size (N)=10^3, Optimal support size (Mopt)=202026.02 | 4.221 | |
| FournierDimensionality (d)=50, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.02 | 10.972 | |
| FournierDimensionality (d)=50, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.02 | 11.864 | |
| FournierDimensionality (d)=50, Sample size (N)=10^4, Optimal support size (Mopt)=402026.02 | 13.09 | |
| FournierDimensionality (d)=50, Sample size (N)=10^3, Optimal support size (Mopt)=52026.02 | 14.892 | |
| FournierDimensionality (d)=100, Sample size (N)=10^6, Optimal support size (Mopt)=5002026.02 | 17.97 | |
| FournierDimensionality (d)=100, Sample size (N)=10^5, Optimal support size (Mopt)=2002026.02 | 18.936 | |
| FournierDimensionality (d)=100, Sample size (N)=10^4, Optimal support size (Mopt)=502026.02 | 20.351 | |
| FournierDimensionality (d)=100, Sample size (N)=10^3, Optimal support size (Mopt)=52026.02 | 22.556 |