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Example

Benchmarks

Task Name	Dataset Name	SOTA Result
Monte Carlo Integration	Example 2	Error (E)0	84
Variable Selection	Example 1	TPR100	24
Expectation Estimation	Example 1	E* Metric0	20
Estimation	Example 2 (rho=0.95)	Estimation Error1.1147	16
Estimation	Example 2 rho=0.75	Estimation Error1.1597	16
e-good arm identification	Example 2	False Selection Probability0	16
Minimum Volume Enclosing Ellipsoid optimization	Example 3 MVEE 1000 randomized instances	Average Solving Time (ms)0.18	12
Numerical solution of singularly perturbed non-linear ODE	Example 3 singularly perturbed non-linear problem with Neumann boundary conditions	L2 Error0	12
Data Assimilation	Example 2 Advection-diffusion-reaction system	Relative Error (ERel,1:T)7.17	12
Classification	Example N=1000	Classification Risk10	12
Classification	Example N=100	Classification Risk11	12
Cost Optimization	Example Case 2	Mean Cost (USD)311	10
Conflict Measurement	Example Synthetic Frame of Discernment with ten elements 4.3	k[39]5	10
Sparse Modeling	Example 1 (sigma=1)	Pre Error1.1589	8
Sparse Modeling	Example 1 (sigma=0.5)	Pre Error0.2918	8
Estimation Error	Example sigma=1 N=100 1	Estimation Error0.9063	8
Estimation Error	Example 1 sigma=0.5 (N=100)	Estimation Error0.6252	8
Feasible arm identification	Example 3	PFS0	8
Feasible arm identification	Example 1	PFS0.02	8
e-good arm identification	Example 3	False Selection Probability0.03	8
Solving Non-linear Problem	Example 2 (epsilon = 2^-7)	L2 Error0.0001	7
Solving PDE	Example 6	L2-error1.27	7
Conflict Measurement	Example Relative Preference Sets 4.4	K[14] (Left Arrow)0	7
Flow variable reconciliation	Example simulated flow process 1 3 (1000 samples)	RMSE1.6682	6
Flow Variable Estimation	Example 6	Estimated SD0.085	6

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