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ConceptIntegrated Nested Laplace Approximation and Stochastic Partial Differential Equations

INLA-SPDE

A combination of Bayesian approximate inference methods in which INLA replaces MCMC sampling with Laplace approximations and SPDE approximates a continuous-space Matérn Gaussian process as a sparse Gaussian Markov random field (GMRF), enabling fast and scalable posterior inference.

Timeline (last 90 days)

Oct 12

ISBO (INLA-SPDE Spatio-Temporal Bayesian Optimization) is a scalable Bayesian optimization framework for spatio-temporal point process data that combines the Log-Gaussian Cox Process (LGCP) with the INLA-SPDE inference method.

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Oct 12

ISBO adopts the INLA-SPDE method, using a Matérn field on a mesh to approximate a dense Gaussian process as a sparse Gaussian Markov random field (GMRF), thereby supporting fast posterior inference.

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Oct 12

The INLA-SPDE method relies on mesh partitioning and Matérn field prior settings, and the impact of the choice of mesh resolution and prior parameters on the results still deserves further investigation.

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