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Example

Benchmarks

Task NameDataset NameSOTA ResultTrend
Monte Carlo IntegrationExample 2
Error (E)0
84
Variable SelectionExample 1
TPR100
24
Expectation EstimationExample 1
E* Metric0
20
EstimationExample 2 (rho=0.95)
Estimation Error1.1147
16
EstimationExample 2 rho=0.75
Estimation Error1.1597
16
e-good arm identificationExample 2
False Selection Probability0
16
Numerical solution of singularly perturbed non-linear ODEExample 3 singularly perturbed non-linear problem with Neumann boundary conditions
L2 Error0
12
Data AssimilationExample 2 Advection-diffusion-reaction system
Relative Error (ERel,1:T)7.17
12
ClassificationExample N=1000
Classification Risk10
12
ClassificationExample N=100
Classification Risk11
12
Conflict MeasurementExample Synthetic Frame of Discernment with ten elements 4.3
k[39]5
10
Sparse ModelingExample 1 (sigma=1)
Pre Error1.1589
8
Sparse ModelingExample 1 (sigma=0.5)
Pre Error0.2918
8
Estimation ErrorExample sigma=1 N=100 1
Estimation Error0.9063
8
Estimation ErrorExample 1 sigma=0.5 (N=100)
Estimation Error0.6252
8
Feasible arm identificationExample 3
PFS0
8
Feasible arm identificationExample 1
PFS0.02
8
e-good arm identificationExample 3
False Selection Probability0.03
8
Solving Non-linear ProblemExample 2 (epsilon = 2^-7)
L2 Error0.0001
7
Solving PDEExample 6
L2-error1.27
7
Conflict MeasurementExample Relative Preference Sets 4.4
K[14] (Left Arrow)0
7
Conflict measurement between Ranked Power SetsExample Synthetic 8-element frame 4.2
k[39]0.5
5
Rectified predictionExample 4 Constitutive law (test)
NMSE4.4
4
Rectified predictionExample 3 Boundary conditions (test)
NMSE6.6
4
Inference (estimation)Example Boundary conditions 3 (test)
NMSE (%)0.063
4
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