Research map / Probabilistic and scientific modeling / Differential equations and PDEs
Algorithmic Linearly Constrained Gaussian Processes
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Construct the prior by pushing a Gaussian process through a parametrization of the equation's solution set | Linear-constraint Gaussian process · Linear operator equations | constraint satisfaction | Helped |
| Condition the Maxwell-constrained prior on one observation of electric current and zero electric flux at the origin | Maxwell-constrained Gaussian process · Inhomogeneous Maxwell equations | qualitative magnetic-field behavior | Helped |
| Use a parametrization of the system to construct the Gaussian process prior | Time-varying control system · ∂ₜx(t)=t³u(t) | constraint satisfaction | Helped |
| Use the curl operator as the parametrization | Divergence-free vector-field Gaussian process · Divergence-free fields | constraint satisfaction | Helped |
| Use the computed right-kernel parametrization to construct a prior | Tangent-field Gaussian process · Smooth tangent fields on the sphere without sources or sinks | constraint satisfaction | Helped |
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