Research map / Probabilistic and scientific modeling / Uncertainty and Gaussian processes
Posterior Contraction Rates for Matérn Gaussian Processes on Riemannian Manifolds
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use an extrinsic Matérn GP instead of an intrinsic Matérn GP | Matérn GP regression on compact Riemannian manifolds · Compact Riemannian manifolds | posterior contraction rate: n^{-\tfrac{2\min(\beta,\nu)}{2\nu+d}} | No clear effect |
| Truncate the intrinsic Karhunen–Loève expansion at the stated growing level (ablation) | Intrinsic Matérn GP · Compact Riemannian manifolds | posterior contraction rate: n^{-\tfrac{2\min(\beta,\nu)}{2\nu+d}} | No clear effect |
| Use an intrinsic rather than an extrinsic Matérn GP | Matérn GP regression · Dumbbell manifold | pointwise worst-case expected error | Helped |
| Use an intrinsic rather than an extrinsic Matérn GP | Matérn GP regression · Dragon manifold | pointwise worst-case expected error | Helped |
| Use an intrinsic rather than an extrinsic Matérn GP | Matérn GP regression · Sphere | pointwise worst-case expected error | No clear effect |
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