Notebooks
Learning and capacity building
- naomi: following
naomi
vignettes
- maths: mathematical description of the Naomi model
- aghq: following
aghq
vignettes to explore the package
- walkthrough: stepping through
aghq
code line-by-line
TMB
: note about what TMB
is doing
- inla-replication: replicating the “INLA from scratch” section of Spatial and Spatio-temporal Bayesian Models with
R-INLA
using R and TMB
- inla-grid: illustration of how the hyperparameter posterior marginal is explored in the INLA method
- epil: comparison of Stan,
R-INLA
, TMB
, glmmTMB
, tmbstan
and aghq
for the epilepsy example from Rue, Martino and Chopin (2009)
- prev-anc-art: comparison of
tmbstan
, TMB
and aghq
for a collection of models based on Joint small-area estimation of HIV prevalence, ART coverage, and HIV incidence (Eaton et al. 2019)
Grid scale-up
- scale-grid: how can we scale up the number of points in the hyperparameter grid in an intelligent way?
- astro: application of scalable grid to astronomy example from Bilodeau, Stringer and Tang (2022)
- increase-s-k: how does increasing the number of principal components, or number of points per dimension, change estimation of the log normalising constant?
Laplace marginals
- sinla: implementing approximations for the posterior marginal of the latent field, building to the approach of Wood (2021)
Posterior comparison approaches
- posterior-comparison: exploring methods (Kolmogorov-Smirnov, simulation-based calibration, Pareto smoothed importance sampling, maximum mean discrepancy) for comparison of posterior distributions from approximate Bayesian inference methods
Results
- point-estimates: comparison of inference methods for the simplified Naomi model using point estimates (the mean and standard deviation)
- ks: comparison of inference methods for the simplified Naomi model using histograms and KS test results
- exceedance: case-study of exceedance probabilities: probability to meet the second 90 target, high incidence strata, and amount of unmet treatment need
- psis: comparison of inference methods for the simplified Naomi model using Pareto-smoothed importance sampling
- mmd: comparison of inference methods for the simplified Naomi model using maximum mean discrepancy
- mcmc-convergence: assessing MCMC (NUTS using
tmbstan
) convergence for the simplified Naomi model
- model-checks: checking the fit of the simplified Naomi model to data
Presentations
Posters
Manuscript
- paper: work-in-progress write-up
- appendix: additional material for write-up