Gaussian

Benchmarks

Task Name	Dataset Name	SOTA Result
Mutual Information Estimation	Gaussian d=20 (test)	Bias0.01	60
Mutual Information Estimation	Gaussian d=5, N=64	Variance0	42
Mutual Information Estimation	Gaussian (d=10, N=64)	Bias0.06	30
Conformal Prediction	Gaussian	Conditional Coverage100	16
Time series generation	Gaussian Dataset	Discriminative Score (Temporal, phi=0.2)0.5	12
Change-point detection	Gaussian mean change Δ = 1/d^(1/3)	P_mean (d=1)0.99	10
Regression	Gaussian 1K seller (train)	MSE0.37	10
Node-level Regression Uncertainty Quantification	Gaussian	PICP100	9
Clustering	gaussian synthetic	F-measure98.63	9
Clustering	w10Gaussian	AMI1	9
Uncertainty Quantification	Gaussian Synthetic	MPE0.13	8
Uncertainty Quantification	Gaussian Synthetic	Sharpness0.04	8
Dynamic Unbalanced Optimal Transport	GAUSSIAN 1000D	W1 (Wasserstein-1 Distance)2.233	8
2D Synthetic Target Sampling	Gaussian 2D Synthetic	KSD0.013	8
Regression	Gaussian 100K seller (train)	MSE0.16	8
Vector Quantization	Gaussian source	MSE0.0625	7
Marginal Distribution Recovery	16D Gaussian (test)	BW2-UVP (t=0)0	7
EOT plan recovery	Gaussian Dim 128	BW2-UVP4,711	7
EOT plan recovery	Gaussian Dim 64	BW2-UVP2,556	7
EOT plan recovery	Gaussian Dim 16	BW2-UVP1,456	7
EOT plan recovery	Gaussian Dim 2	BW2-UVP677	7
Uncertainty-bound prediction	Gaussian	Interval Length0.055	6
Image Reconstruction	Gaussian	MSE0.0006	6
Mutual Information Estimation	Gaussian (d=5, N=64, MI=10)	Variance0.06	6
Mutual Information Estimation	Gaussian d=5, N=64, MI=8	Variance0.06	6

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