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Estimating the marginal likelihood with Integrated nested Laplace approximation (INLA)
The marginal likelihood is a well established model selection criterion in Bayesian statistics. It also allows to efficiently calculate the marginal posterior model probabilities that can be used for Bayesian model averaging of quantities of interest.
Hubin, Aliaksandr, Storvik, Geir
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Simplified Integrated Nested Laplace Approximation [PDF]
Integrated nested Laplace approximation provides accurate and efficient approximations for marginal distributions in latent Gaussian random field models. Computational feasibility of the original Rue et al.
Wood, Simon N, Simon N Wood
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Animal Models and Integrated Nested Laplace Approximations [PDF]
Animal models are generalized linear mixed models used in evolutionary biology and animal breeding to identify the genetic part of traits. Integrated Nested Laplace Approximation (INLA) is a methodology for making fast, nonsampling-based Bayesian ...
Steinsland, Ingelin +3 more
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Abstract A novel methodological framework is presented for climate-sensitive modeling of annual radial stem increments using tree-ring width time series. The approach is based on a hierarchical Bayes model together with a distributed time lag model that take into account the effects of a series of monthly temperature and precipitation values, as well
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The Integrated Nested Laplace Approximation for fitting Dirichlet regression models [PDF]
This paper introduces a Laplace approximation to Bayesian inference in Dirichlet regression models, which can be used to analyze a set of variables on a simplex exhibiting skewness and heteroscedasticity, without having to transform the data. These data,
Simpson, Daniel +5 more
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Integrated nested laplace approximation for bayesian nonparametric phylodynamics [PDF]
The goal of phylodynamics, an area on the intersection of phylogenetics and population genetics, is to reconstruct population size dynamics from genetic data.
Palacios, JA, Minin, VN
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Approximate Bayesian inference based on INLA algorithm
The integrated nested Laplace approximation (INLA) algorithm provides a computationally efficient approach for approximate Bayesian inference, overcoming the limitations of traditional Markov chain Monte Carlo (MCMC) methods.
Pingping Wang, Wei Zhao, Yincai Tang
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Introduction: One of the vital skills which has an impact on emotional health and well-being is the regulation of emotions. In recent years, the neural basis of this process has been considered widely.
Parisa Naseri +5 more
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Medical data are often missing during epidemiological surveys and clinical trials. In this paper, we propose the MCMCINLA estimation method to account for missing data.
Jiaqi Teng +4 more
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survHE: Survival Analysis for Health Economic Evaluation and Cost-Effectiveness Modeling
Survival analysis features heavily as an important part of health economic evaluation, an increasingly important component of medical research. In this setting, it is important to estimate the mean time to the survival endpoint using limited information (
Gianluca Baio
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