High-dimensional Gaussian mixture
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=64, uniform, gamma=0.01 v1 (test) | Conditional Trend Score0.77 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=64, uniform, gamma=0.005 v1 (test) | Conditional Trend Score82 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=64, gaussian, gamma=0.05 v1 (test) | Conditional Trend Score75 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=64, gaussian, gamma=0.02 v1 (test) | Conditional Trend Score85 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=16, uniform, gamma=0.01 v1 (test) | Conditional Trend Score84 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture (D=16, uniform, gamma=0.005) v1 (test) | Conditional Trend Score84 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=16, gaussian, gamma=0.05 v1 (test) | Conditional Trend Score84 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=16, gaussian, gamma=0.02 v1 (test) | Conditional Trend Score82 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture (D=2, uniform, gamma=0.01) v1 (test) | Conditional Trend Score0.87 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=2, uniform, gamma=0.005 v1 (test) | Conditional Trend Score0.87 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=2, gaussian, gamma=0.05 v1 (test) | Conditional Trend Score85 | 16 | |
| Discrete-space EOT/SB modeling | High-Dimensional Gaussian Mixture D=2, gamma=0.02 v1 (test) | Conditional Trend Score91 | 16 | |
| Discrete Schrödinger Bridge Solving | High-dimensional Gaussian mixture benchmark | Trend Score (D=2, gaussian, ϵ=0.02)0.97 | 16 | |
| Trajectory Modeling | high-dimensional Gaussian mixture benchmark | Trajectory reverse KL divergence (D=2, Gaussian noise 0.02)0 | 15 | |
| Trajectory KL divergence | High-dimensional Gaussian mixture D=64 | Trajectory KL Divergence (Gaussian 0.02 perturbation)0 | 15 | |
| Trajectory KL divergence | High-dimensional Gaussian mixture D=16 | KL Div (Gaussian, 0.02)0 | 15 | |
| Trajectory KL divergence | High-dimensional Gaussian mixture D=2 | Trajectory KL Divergence (Gaussian 0.02)0 | 15 | |
| Classifier Two Sample Test | High-dimensional Gaussian mixture D=64, uniform | C2ST (gamma=0.005)100 | 5 | |
| Classifier Two Sample Test | High-dimensional Gaussian mixture D=64 | C2ST (gamma=0.02)100 | 5 | |
| Classifier Two Sample Test | High-dimensional Gaussian mixture D=16, uniform | C2ST (gamma=0.005)100 | 5 | |
| Classifier Two Sample Test | High-dimensional Gaussian mixture D=16 | C2ST (gamma=0.02)100 | 5 | |
| Classifier Two Sample Test | High-dimensional Gaussian mixture D=2, uniform | C2ST (gamma=0.005)100 | 5 | |
| Classifier Two Sample Test | High-dimensional Gaussian mixture D=2 | C2ST (gamma=0.02)1 | 5 | |
| Discrete-space EOT/SB solving | High-dimensional Gaussian Mixture Uniform distribution | Conditional Shape Score0.92 | 4 |
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