Tutorials

• Building autoregressive models
  • Introduction
  • Building an AR(1) model
  • Latent models API
  • Beyond first order models: CARs
  • Outlook
• Spatial Modelling with SPDEs
  • Data preprocessing
  • Spatial Modelling
  • Final note
• Spatiotemporal Modelling with SPDEs
  • Problem setup
  • Using GMRFs for spatiotemporal modelling
  • A separable model
  • Advection diffusion priors
  • Conclusion
• Boundary Conditions for SPDEs
  • Spatial example: Matern SPDE
  • Spatiotemporal example: Advection Diffusion SPDE
  • Conclusion
• Bernoulli Spatial Classification with a Matérn Field
  • Load data (local if present, otherwise download)
  • Train/test split
  • Latent model: Matérn GP via SPDE
  • Bernoulli observations (logit link)
  • Inference: Gaussian approximation
  • Evaluation on held out data
  • Visualization
  • Notes and tips
• Advanced GMRF modelling for disease mapping
  • Load data
  • Model in one picture
  • Likelihood with offset and Gaussian approximation
  • Choropleth: polygons filled by relative risk
  • Fixed effects summary (β and 95 CI)
  • BYM decomposition: structured vs unstructured effects
  • Exceedance probability map: RR greater than 1
  • Notes