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
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
Clustering	w10Gaussian	AMI1	9
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
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
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
Mutual Information Estimation	Gaussian (d=5, N=64, MI=6)	Variance0.69	6
Graphical model structure recovery	Gaussian	AUC98	4
Classification	Gaussian Synthetic	Accuracy98.8	4
Inference Time Comparison	GAUSSIAN	Speedup relative to WFR-FM (RK)611	1
Generative Modeling	8-Gaussian	Metric-	0

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