Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
Scaling Gaussian Process Regression with Derivatives
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add derivative observations to SKI | SKI · Branin, Franke, Sine Norm, Sixhump, StyTang, and Hart3 | relative RMSE: Branin: 3.97e-3 -> 1.03e-3; Franke: 5.51e-3 -> 4.06e-4; Sine Norm: 5.37e-3 -> 1.32e-3; Sixhump: 5.11e-3 -> 5.66e-4; StyT | Helped |
| Use a 3D active subspace instead of the 6D active subspace | D-SKI / D-SKIP · Welsh | RMSE: 3.366e-03 -> 2.267e-01 | Hurt |
| Use a 3D active subspace instead of the 6D active subspace | D-SKI / D-SKIP · Welsh | SMAE: 2.590e-03 -> 2.073e-01 | Hurt |
| Add derivative observations to SKI | SKI · Mount St. Helens | Testing SMAE: 0.0308 -> 0.0165 | Helped |
| Add derivative observations to SKI | SKI · Mount St. Helens | Overall SMAE: 0.0357 -> 0.0254 | Helped |
| Add derivative information | SKI · Korea elevation and bathymetry | SMAE: 0.1521 -> 0.0746 | Helped |
| Add a pivoted Cholesky preconditioner | D-SKI and D-SKIP iterative solvers · Franke and Friedman test functions | CG iterations to convergence | Helped |
| Use a 3D rather than a 6D active subspace | Welsh function approximation · Welsh | prediction accuracy | Hurt |
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