Academic literature on the topic 'Integrated Nested Laplace Approximation'

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Journal articles on the topic "Integrated Nested Laplace Approximation"

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Gómez-Rubio, Virgilio, Roger S. Bivand, and Håvard Rue. "Bayesian Model Averaging with the Integrated Nested Laplace Approximation." Econometrics 8, no. 2 (2020): 23. http://dx.doi.org/10.3390/econometrics8020023.

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The integrated nested Laplace approximation (INLA) for Bayesian inference is an efficient approach to estimate the posterior marginal distributions of the parameters and latent effects of Bayesian hierarchical models that can be expressed as latent Gaussian Markov random fields (GMRF). The representation as a GMRF allows the associated software R-INLA to estimate the posterior marginals in a fraction of the time as typical Markov chain Monte Carlo algorithms. INLA can be extended by means of Bayesian model averaging (BMA) to increase the number of models that it can fit to conditional latent GMRF. In this paper, we review the use of BMA with INLA and propose a new example on spatial econometrics models.
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Yoon, Ji Won. "Model selection for mixture model via integrated nested Laplace approximation." Electronics Letters 51, no. 6 (2015): 484–86. http://dx.doi.org/10.1049/el.2014.4338.

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Gómez-Rubio, Virgilio, and Håvard Rue. "Markov chain Monte Carlo with the Integrated Nested Laplace Approximation." Statistics and Computing 28, no. 5 (2017): 1033–51. http://dx.doi.org/10.1007/s11222-017-9778-y.

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Holand, Anna Marie, Ingelin Steinsland, Sara Martino, and Henrik Jensen. "Animal Models and Integrated Nested Laplace Approximations." G3: Genes|Genomes|Genetics 3, no. 8 (2013): 1241–51. http://dx.doi.org/10.1534/g3.113.006700.

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Illian, Janine B., Sara Martino, Sigrunn H. Sørbye, et al. "Fitting complex ecological point process models with integrated nested Laplace approximation." Methods in Ecology and Evolution 4, no. 4 (2013): 305–15. http://dx.doi.org/10.1111/2041-210x.12017.

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Sauter, Rafael, and Leonhard Held. "Network meta-analysis with integrated nested Laplace approximations." Biometrical Journal 57, no. 6 (2015): 1038–50. http://dx.doi.org/10.1002/bimj.201400163.

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Gómez‐Rubio, Virgilio, and Francisco Palmí‐Perales. "Multivariate posterior inference for spatial models with the integrated nested Laplace approximation." Journal of the Royal Statistical Society: Series C (Applied Statistics) 68, no. 1 (2018): 199–215. http://dx.doi.org/10.1111/rssc.12292.

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Grilli, L., S. Metelli, and C. Rampichini. "Bayesian estimation with integrated nested Laplace approximation for binary logit mixed models." Journal of Statistical Computation and Simulation 85, no. 13 (2014): 2718–26. http://dx.doi.org/10.1080/00949655.2014.935377.

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Beguin, Julien, Sara Martino, Håvard Rue, and Steven G. Cumming. "Hierarchical analysis of spatially autocorrelated ecological data using integrated nested Laplace approximation." Methods in Ecology and Evolution 3, no. 5 (2012): 921–29. http://dx.doi.org/10.1111/j.2041-210x.2012.00211.x.

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Bilancia, Massimo, and Giacomo Demarinis. "Bayesian scanning of spatial disease rates with integrated nested Laplace approximation (INLA)." Statistical Methods & Applications 23, no. 1 (2013): 71–94. http://dx.doi.org/10.1007/s10260-013-0241-8.

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Dissertations / Theses on the topic "Integrated Nested Laplace Approximation"

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Ling, Yuheng. "Corsican housing market analysis : Applications of bayesian hierarchical model." Thesis, Corte, 2020. http://www.theses.fr/2020CORT0011.

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Ce travail de thèse porte sur le développement de modèles économétriques/statistiques spatiaux pour analyser le marché immobilier en Corse. Concernant les contributions techniques, j'aborde dans ce travail la question de l'autocorrélation spatiale et temporelle dans le résidu de la régression linéaire classique qui peut conduire à des estimations biaisées. Les premières études empiriques utilisant des outils « a-spatiaux », tels que la méthode des moindres carrés ordinaires, ont ainsi probablement produit des estimations biaisées. Grâce à l’adoption de techniques basées sur l'économétrie spatiale, les économistes peuvent désormais gérer de manière plus efficace les problèmes liés à la présence d'autocorrélations dans les données. Cependant, la prise en compte de la dimension temporelle dans ce type de modèles demeure « floue » en raison du recours à des paramètres complexes qu’elle nécessite. Pour faire face à l'autocorrelation spatiale et temporelle, j’ai eu recours à l'application de modèles spatiotemporels hiérarchiques bayésiens. En termes d'économie régionale, j’ai utilisé les modèles hiérarchiques spatiotemporels bayésiens que j’ai développés pour évaluer le marché immobilier en Corse. En particulier, la question de savoir en quoi l’emplacement géographique affecte les caractéristiques du logement (prix, destination principale) constitue le cœur de cette thèse. Les sujets analysés sont complexes car ils traitent de questions allant de la prévision des prix de vente des appartements en Corse, à l'enquête sur les taux des résidences secondaires et à l'évaluation de l'impact de la vue sur mer. En outre, les fondements économiques de ces thématiques reposent sur la méthode des prix hédoniques, la prise en compte d’effets adjacents (adjacent effects) et d’effets d’entrainement (ripple effects). Enfin, j'identifie les points chauds (hot spots) et les points froids (cold spots) en termes de prix des appartements et de taux des résidences secondaires, et j’évalue l’impact de la vue sur mer (la mer Méditerranée dans le cadre de ce travail) et de l'accessibilité à la côte sur les prix des appartements. Ces résultats devraient fournir de précieuses informations pouvant aider à la prise de décision des planificateurs en matière d’urbanisation et des décideurs publics<br>This thesis focuses on the development of spatial econometric/statistical models that are used for analyzing the Corsican real estate market.Concerning technical contributions, I address the issue of spatial and temporal autocorrelation in the residual of classical linear regression that may yield biased estimates. Early empirical studies using “spaceless” tools such as OLS probably yield biased estimates. With the acceptance of spatial econometrics, regional scientists can better handle the autocorrelation in data. However, the temporal dimension remains unclear due to its complex settings. To tackle both spatial and temporal autocorrelation, I suggest applying Bayesian hierarchical spatiotemporal models.Regarding the contribution in terms of regional economics, the developed ad-hoc Bayesian spatiotemporal hierarchical models have been used to assess the Corsican housing market. In particular, how locations affect housing is the key issue in this thesis. The topics analyzed are complex because they deal with issues ranging from predicting Corsican apartment sales prices, investigating second home rates to assessing the impact of sea views. Furthermore, the economic underpinnings of these topics include the hedonic price method, the adjacent effects and the ripple effects.Finally, I identify “hot spots” and “cold spots” in terms of apartment prices and second home rates, and I also indicate that both the sea (Mediterranean Sea) view and the coast accessibility affect apartment prices. These findings should provide valuable information for planners and policymakers
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Schwarzenegger, Rafael. "Matematické modely spolehlivosti v technické praxi." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318802.

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Tato práce popisuje a aplikuje parametrické a neparametrické modely spolehlivosti na cenzorovaná data. Ukazuje implementaci spolehlivosti v metodologii Six Sigma. Metody jsou využity pro přežití/spolehlivost reálných technických dat.
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Book chapters on the topic "Integrated Nested Laplace Approximation"

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Riebler, Andrea, Mark D. Robinson, and Mark A. van de Wiel. "Analysis of Next Generation Sequencing Data Using Integrated Nested Laplace Approximation (INLA)." In Statistical Analysis of Next Generation Sequencing Data. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07212-8_4.

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Musio, Monica, Erik-A. Sauleau, and Valentina Mameli. "Using Integrated Nested Laplace Approximations for Modelling Spatial Healthcare Utilization." In Contributions to Statistics. Springer Milan, 2012. http://dx.doi.org/10.1007/978-88-470-2871-5_15.

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Gómez-Rubio, Virgilio. "The Integrated Nested Laplace Approximation." In Bayesian Inference with INLA. Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9781315175584-2.

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O. Soogun, Adenike, Ayesha B.M. Kharsany, Temesgen Zewotir, and Delia North. "Spatial Variation and Factors Associated with Unsuppressed HIV Viral Load among Women in an HIV Hyperendemic Area of KwaZulu-Natal, South Africa." In Infectious Diseases. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.105547.

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New HIV infections among young women remains exceptionally high and to prevent onward transmission, UNAIDS set ambitious treatment targets. This study aimed to determine the prevalence, spatial variation and factors associated with unsuppressed HIV viral load at ≥400 copies per mL. This study analysed data from women aged 15–49 years from the HIV Incidence Provincial Surveillance System (HIPSS) enrolled in two sequential cross-sectional studies undertaken in 2014 and 2015 in rural and peri-urban KwaZulu-Natal, South Africa. Bayesian geoadditive model with spatial effect for a small enumeration area was adopted using Integrated Nested Laplace Approximation (INLA) function to analyze the findings. The overall prevalence of unsuppressed HIV viral load was 45.2% in 2014 and 38.1% in 2015. Factors associated with unsuppressed viral load were no prior knowledge of HIV status, had a moderate-to-low perception of acquiring HIV, not on antiretroviral therapy (ART), and having a low CD4 cell count. In 2014, women who ever consumed alcohol and in 2015, ever ran out of money, had two or more lifetime sexual partners, ever tested for tuberculosis, and ever diagnosed with sexually transmitted infection were at higher risk of being virally unsuppressed. The nonlinear effect showed that women aged 15 to 29 years, from smaller households and had fewer number of lifetime HIV tests, were more likely to be virally unsuppressed. High viral load risk areas were the north-east and south-west in 2014, with north and west in 2015. The findings provide guidance on identifying key populations and areas for targeted interventions.
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Conference papers on the topic "Integrated Nested Laplace Approximation"

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Camponez, Marcelo Oliveira, Evandro O. Teatini Salles, and Mario Sarcinelli-Filho. "Applying integrated nested laplace approximation to the superresolution problem." In 2011 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT). IEEE, 2011. http://dx.doi.org/10.1109/isspit.2011.6151568.

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Chattopadhyay, Aditi, and Ratneshwar Jha. "Multidisciplinary Optimization of Composite Wings Using Refined Structural and Aeroelastic Analysis Methodologies." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0168.

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Abstract An integrated multidisciplinary procedure has been developed for structural and aeroelastic optimization of composite wings based on refined analysis technique. A refined higher-order theory is used to analyze composite box beam, which represents the load carrying member of the wing. Unsteady aerodynamic computations are performed using a panel code based on the Doublet Lattice Method. Flutter/divergence dynamic pressure is obtained by the Laplace domain method through rational function approximation of unsteady aerodynamic loads. The objective of the optimization procedure is to minimize wing structural weight with constraints on flutter/divergence speed and stresses at the root due to the static load. Composite ply orientations and laminate thicknesses are used as design variables. The Kreisselmeier-Steinhauser function approach is used to efficiently integrate the objective function and constraints into a single envelope function. The resulting unconstrained optimization problem is solved using the Davidon-Fletcher-Powell algorithm. Numerical results are presented showing significant improvements, after optimization, compared to a reference design.
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Sharma, Kal Renganathan. "Effect of Relativistic Transformation Methods on the Solutions of the Damped Wave Conduction and Relaxation Equation in Semi-Infinite Medium." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88523.

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The expression for transient temperature during damped wave conduction and relaxation developed by Baumeister and Hamill by the method of Laplace transforms was further integrated. A Chebyshev polynomial approximation was used for the integrand with modified Bessel composite function in space and time. Telescoping power series leads to more useful expression for transient temperature. By the method of relativistic transformation the transient temperature during damped wave conduction and relaxation was developed. There are three regimes to the solution. A regime comprising of Bessel composite function in space and time and another regime comprising of modified Bessel composite function in space and time. The temperature solution at the wave front was also developed. The solution for transient temperature from the method of relativistic transformation is compared side by side with the solution for transient temperature from the method of Chebyshev economization. Both solutions are within 12% of each other. For conditions close to the wave front the solution from the Chebyshev economization is expected to be close to the exact solution and was found to be within 2% of the solution from the method of relativistic transformation. Far from the wave front, i.e., close to the surface the numerical error from the method of Chebyshev economization is expected to be significant and verified by a specific example. The solution for transient surface heat flux from the parabolic Fourier heart conduction model and the hyperbolic damped wave conduction and relaxation models are compared with each other. For τ&amp;gt; 1/2 the parabolic and hyperbolic solutions are within 10% of each other. The parabolic model has a “blow-up” at τ→0 and the hyperbolic model is devoid of singularities. The transient temperature from the Chebyshev economization is within an average of 25% of the error function solution for the parabolic Fourier heat conduction model. A penetration distance beyond which there is no effect of the step change in the boundary is predicted using the relativistic transformation model.
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Reports on the topic "Integrated Nested Laplace Approximation"

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Zhang, Yongping, Wen Cheng, and Xudong Jia. Enhancement of Multimodal Traffic Safety in High-Quality Transit Areas. Mineta Transportation Institute, 2021. http://dx.doi.org/10.31979/mti.2021.1920.

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Numerous extant studies are dedicated to enhancing the safety of active transportation modes, but very few studies are devoted to safety analysis surrounding transit stations, which serve as an important modal interface for pedestrians and bicyclists. This study bridges the gap by developing joint models based on the multivariate conditionally autoregressive (MCAR) priors with a distance-oriented neighboring weight matrix. For this purpose, transit-station-centered data in Los Angeles County were used for model development. Feature selection relying on both random forest and correlation analyses was employed, which leads to different covariate inputs to each of the two jointed models, resulting in increased model flexibility. Utilizing an Integrated Nested Laplace Approximation (INLA) algorithm and various evaluation criteria, the results demonstrate that models with a correlation effect between pedestrians and bicyclists perform much better than the models without such an effect. The joint models also aid in identifying significant covariates contributing to the safety of each of the two active transportation modes. The research results can furnish transportation professionals with additional insights to create safer access to transit and thus promote active transportation.
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Girolamo Neto, Cesare, Rodolfo Jaffe, Rosane Cavalcante, and Samia Nunes. Comparacao de modelos para predicao do desmatamento na Amazonia brasileira. ITV, 2021. http://dx.doi.org/10.29223/prod.tec.itv.ds.2021.25.girolamoneto.

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O presente relatório contém resultados parciais do projeto “Definição de áreas prioritárias para recuperação florestal”, referentes a atividade “Uso e comparação da acurácia de diferentes modelos preditivos de desmatamento na Amazônia”. O objetivo deste estudo foi a implementação de modelos preditivos de desmatamento na Amazônia brasileira com base nas técnicas de Random Forest (RF), Spatial Random Forest (SpRF) e Integrated Nested Laplace Approximations (INLA) e comparação dos erros obtidos com cada modelo. Uma base de dados geográficos foi gerada por meio da integração de dados de diversas instituições brasileiras, como IBGE, MMA e INPE, utilizando células de 25 x 25 km e uma janela temporal de um ano. Os principais drivers de desmatamento identificados estão relacionados à fragmentação florestal e à expansão de áreas de pastagem na Amazônia, corroborando com outros trabalhos encontrados em literatura. A modelagem obteve melhores resultados com o uso dos modelos RF e SpRF em relação aos modelos do tipo INLA, com menores valores de erro médio quadrático obtido em conjuntos de dados de treinamento e validação dos algoritmos. A previsão de desmatamento para o ano de 2020 foi de 31 mil km2 , dados que apresentam uma superestimava devido ao método utilizado para o cálculo do desmatamento. Entre as ações identificadas que podem ser adotadas em trabalhos futuros para melhorar a previsão do desmatamento, cita-se o uso da abordagem CLUE e a melhoria de algumas bases de dados utilizada, a exemplo da malha viária.
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