| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Discrete-space EOT/SB solving | High-dimensional Gaussian Mixture | Conditional Shape Score95 | 21 | |
| Anomaly Detection | Gaussian Mixture Local Anomalies (synthetic) | AUCROC99.19 | 12 | |
| Anomaly Detection | Gaussian mixture local anomalies synthetic (test) | F1 Score89.37 | 10 | |
| Simulation-Based Inference | Gaussian Mixture | Computation Time (s)0.01 | 8 | |
| Simulation-Based Inference | Gaussian Mixture | C2ST Accuracy56 | 7 | |
| Principal Component Alignment | Gaussian Mixture ($d=900, n=10^3, \pi_1=20\%) | Alignment (%)96.17 | 7 | |
| Principal Component Alignment | Gaussian Mixture ($d=900, n=10^3, \pi_1=15\%$) | PCA Alignment97.39 | 7 | |
| Principal Component Alignment | Gaussian Mixture ($d=900, n=10^3, \pi_1=10\%$) | Alignment97.16 | 7 | |
| Principal Component Alignment | Gaussian Mixture ($d=900, n=10^3, \pi_1=5\%$) | Alignment (%)95.85 | 7 | |
| Posterior Sampling | Gaussian Mixture SBI benchmark | C2ST96 | 7 | |
| Sample Quality Evaluation | Gaussian Mixture (GM) | MMD0.1576 | 6 | |
| Normalizing Constant Estimation | Gaussian Mixture (GM) | Ratio Z_hat / Z1.0001 | 6 | |
| Posterior sampling | four-dimensional Gaussian mixture (test) | Expected Distance (ED)0.0958 | 5 | |
| Feature Selection | Gaussian mixture n=2000 p=100 | FDR Mean0.081 | 5 | |
| Feature Selection | Gaussian mixture p=100 (n=200) | FDR Mean0.116 | 5 | |
| Resampling | Gaussian mixture (test) | Metric- | 0 | |
| Source distribution estimation | Gaussian Mixture (GM) | Metric- | 0 |