To cite INLA in publications please use (a subset of):
Havard Rue, Sara Martino, and Nicholas Chopin (2009), Approximate Bayesian Inference for Latent Gaussian Models Using Integrated Nested Laplace Approximations (with discussion), Journal of the Royal Statistical Society B, 71, 319-392.
Thiago G. Martins, Daniel Simpson, Finn Lindgren and Havard Rue (2013), Bayesian computing with INLA: New features, Computational Statistics and Data Analysis, 67(2013) 68-83
Finn Lindgren, Havard Rue, and Johan Lindstrom (2011). An Explicit Link Between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach (with discussion), Journal of the Royal Statistical Society B, 73(4), 423-498.
Finn Lindgren, Havard Rue (2015). Bayesian Spatial Modelling with R-INLA. Journal of Statistical Software, 63(19), 1-25. URL http://www.jstatsoft.org/v63/i19/.
H. Rue, A. Riebler, S. H. Sorbye, J. B. Illian, D. P. Simpson, and F. K. Lindgren. Bayesian computing with INLA: A review. Annual Reviews of Statistics and Its Applications, 4(March):395-421, 2017. URL https://doi.org/10.1146/annurev-statistics-060116-054045
H. Bakka, H. Rue, G. A. Fuglstad, A. Riebler, D. Bolin, E. Krainski, D. Simpson, and F. Lindgren. Spatial modelling with R-INLA: A review. WIRES (Invited extended review), 10.1002/wics.1443, 2018.
J. van Niekerk, E. Krainksi, D. Rustand, and H. Rue A new avenue for Bayesian inference with INLA Computational Statistics & Data Analysis 181:107692, May 2023. doi: https://doi.org/10.1016/j.csda.2023.107692
J. van Niekerk and H. Rue Low-rank variational Bayes correction to the Laplace method Journal of Machine Learning Research 25(62):1–25, 2024 https://jmlr.org/papers/v25/21-1405.html
H. Rue and S. Martino Approximate Bayesian inference for hierarchical Gaussian Markov random fields models Journal of Statistical Planning and Inference 137(10):3177–3192, 2007 Special Issue: Bayesian Inference for Stochastic Processes.
F. Lindgren, D. Bolin, and H. Rue The SPDE approach for Gaussian and non-Gaussian fields: 10 years and still running Spatial Statistics 50(August):100599, 2022 doi: https://doi.org/10.1016/j.spasta.2022.100599
E. A. Fattah, J. van Niekerk, and H. Rue Smart gradient – an adaptive technique for improving gradient estimation Foundations of Data Science 4(1):123–136, March 2022 10.3934/fods.2021037
E. A. Fattah, H. Ltaief, H. Rue, and D. E. Keyes Dense matrices are alike; sparse matrices are sparse in their own way: A structure-adaptive tile Cholesky factorization xx(xx):xx–xx, 2026b. URL https://arxiv.org/abs/2609.29765
Corresponding BibTeX entries:
@Article{,
author = {H{\aa}vard Rue and Sara Martino and Nicholas Chopin},
title = {Approximate {Bayesian} Inference for Latent {Gaussian}
Models Using Integrated Nested {Laplace} Approximations (with
discussion).},
journal = {Journal of the Royal Statistical Society B},
year = {2009},
volume = {71},
pages = {319--392},
}
@Article{,
title = {Bayesian computing with {INLA}: {N}ew features.},
author = {Thiago G. Martins and Daniel Simpson and Finn Lindgren
and H{\aa}vard Rue},
year = {2013},
volume = {67},
pages = {68--83},
journal = {Computational Statistics and Data Analysis},
}
@Article{,
title = {An Explicit Link between {Gaussian} Fields and {Gaussian}
{Markov} Random Fields: The Stochastic Partial Differential
Equation Approach (with discussion).},
author = {Finn Lindgren and H{\aa}vard Rue and Johan
Lindstr{\"o}m},
year = {2011},
volume = {73},
number = {4},
pages = {423--498},
journal = {Journal of the Royal Statistical Society B},
}
@Article{,
title = {Bayesian Spatial Modelling with {R}-{INLA}},
author = {Finn Lindgren and H{\aa}vard Rue},
journal = {Journal of Statistical Software},
year = {2015},
volume = {63},
number = {19},
pages = {1--25},
url = {http://www.jstatsoft.org/v63/i19/},
}
@Article{,
title = {Bayesian computing with {INLA}: {A} review},
author = {H{\aa}vard Rue and Andrea I. Riebler and Sigrunn H.
S{\o}rbye and Janine B. Illian and Daniel P. Simpson and Finn K.
Lindgren},
journal = {Annual Reviews of Statistics and Its Applications},
year = {2017},
volume = {4},
number = {March},
pages = {395--421},
doi = {https://doi.org/10.1146/annurev-statistics-060116-054045},
}
@Article{,
title = {Spatial modelling with {INLA}: {A} review},
author = {Haakon Bakka and H{\aa}vard Rue and Geir-Arne Fuglstad
and Andrea I. Riebler and David Bolin and Janine Illian and Elias
Krainski and Daniel P. Simpson and Finn K. Lindgren},
journal = {WIRES (Invited extended review)},
year = {2018},
volume = {10:e1443},
number = {6},
doi = {10.1002/wics.1443},
}
@Article{,
author = {Janet {van Niekerk} and Elias Krainski and Denis Rustand
and H{\aa}vard Rue},
title = {A new avenue for Bayesian inference with INLA},
journal = {Computational Statistics and Data Analysis},
year = {2023},
volume = {181},
pages = {107692},
doi = {https://doi.org/10.1016/j.csda.2023.107692},
}
@Article{,
author = {Janet {van Niekerk} and H{\aa}vard Rue},
title = {Low-rank variational Bayes correction to the Laplace
method},
journal = {Journal of Machine Learning Research},
year = {2024},
volume = {25},
number = {62},
pages = {1-25},
url = {http://jmlr.org/papers/v25/21-1405.html},
}
@Article{,
author = {H{\aa}vard Rue and Sara Martino},
title = {Approximate Bayesian inference for hierarchical Gaussian
Markov random fields models},
journal = {Journal of Statistical Planning and Inference},
year = {2007},
volume = {137},
number = {10},
pages = {3177-3192},
}
@Article{,
author = {Finn Lindgren and David Bolin and H{\aa}vard Rue},
title = {The SPDE approach for Gaussian and non-Gaussian fields: 10
years and still running},
journal = {Spatial Statistics},
volume = {50},
number = {August},
year = {2022},
doi = {https://doi.org/10.1016/j.spasta.2022.100599},
}
@Article{,
author = {Esmail Abdul Fattah and Janet {van Niekerk} and
H{\aa}vard Rue},
journal = {Foundations of Data Science},
title = {Smart gradient – an adaptive technique for improving
gradient estimation},
volume = {4},
number = {1},
pages = {123–136},
year = {2022},
doi = {10.3934/fods.2021037},
}
@Article{,
author = {Esmail Abdul Fattah and Hatem Ltaief and H{\aa}vard Rue
and David Keyes},
journal = {(submitted)},
title = {Dense matrices are alike; sparse matrices are sparse in
their own way: A structure-adaptive tile Cholesky factorization},
volume = {xx},
number = {xx},
pages = {xx-xx},
year = {2026},
url = {https://arxiv.org/abs/2609.29765},
}