Levy
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Surrogate Modeling | Levy 7D | Normalized RMSE0.87 | 16 | |
| Global Optimization | Levy13 function | Mean Objective Value1.03 | 10 | |
| Stochastic Lipschitz Optimization | Levy | Simple Regret0.035 | 9 | |
| Bayesian Optimization | Levy d=100 synthetic (round 10) | Relative Batch Instantaneous Regret0.031 | 9 | |
| Bayesian Optimization | Levy d=50 synthetic (round 10) | Relative Batch Instantaneous Regret2.9 | 9 | |
| Bayesian Optimization | Levy (d=20) synthetic (round 10) | Relative Batch Instantaneous Regret0.063 | 9 | |
| Bayesian Optimization | Levy (d=10) synthetic (round 10) | Relative Batch Instantaneous Regret2.3 | 9 | |
| Bayesian Optimization | Levy (d=2) synthetic (round 10) | Relative batch instantaneous regret0.092 | 9 | |
| Black-box Optimization | Levy-10D 300 evaluations | Wall Clock Time (s)0.043 | 8 | |
| Black-box Optimization | Levy-10D 100 evaluations | Wall Clock Time (s)0.03 | 8 | |
| Global Optimization | Levy 1000D (test) | Mean Fitness24,058 | 5 | |
| Global Optimization | Levy 100d | Mean Final Objective Value0 | 5 | |
| Sequential optimization | Levy Dim 8 | AUC47 | 5 | |
| Sequential optimization | Levy Dim 4 | AUC62 | 5 | |
| Sequential optimization | Levy Dim 2 | AUC83 | 5 | |
| Level Set Estimation | Levy 100-dimensional | Average Runtime (min)1.9 | 4 | |
| Level Set Estimation | Levy 10-dimensional | Runtime (min)0.1 | 4 | |
| Synthetic Function Optimization | Levy 10D (300 evaluations) | Mean Objective Value-6.218 | 4 | |
| Synthetic Function Optimization | Levy 10D (100 evaluations) | Mean Objective Value-2.62 | 4 | |
| Level Set Estimation | Levy100 | Wilcoxon p-value (Random)0.0117 | 2 | |
| Level Set Estimation | Levy10 | Wilcoxon p-value (Random)0.0117 | 2 | |
| Bayesian Optimization | Levy (d=2, 10, 20, 50, 100) | Relative Batch Instantaneous Regret0.092 | 2 | |
| Function Optimization | 4D Levy Fine threshold | Convergence Rate124 | 1 | |
| Stochastic Lipschitz Optimization | Levy-5 | Regret4.1 | 1 |
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