English
Related papers

Related papers: Advances in Approximate Bayesian Inference for Mod…

200 papers

While Bayesian neural networks (BNNs) hold the promise of being flexible, well-calibrated statistical models, inference often requires approximations whose consequences are poorly understood. We study the quality of common variational…

Machine Learning · Statistics 2020-10-26 Andrew Y. K. Foong , David R. Burt , Yingzhen Li , Richard E. Turner

Variational inference provides approximations to the computationally intractable posterior distribution in Bayesian networks. A prominent medical application of noisy-or Bayesian network is to infer potential diseases given observed…

Machine Learning · Computer Science 2016-05-23 Yusheng Xie , Nan Du , Wei Fan , Jing Zhai , Weicheng Zhu

Various AI models are increasingly being considered as part of clinical decision-support tools. However, the trustworthiness of such models is rarely considered. Clinicians are more likely to use a model if they can understand and trust its…

Artificial Intelligence · Computer Science 2020-03-09 Evangelia Kyrimi , Somayyeh Mossadegh , Nigel Tai , William Marsh

Approximate Bayesian computation (ABC) is an approach for sampling from an approximate posterior distribution in the presence of a computationally intractable likelihood function. A common implementation is based on simulating model,…

Methodology · Statistics 2013-01-16 D. Prangle , M. G. B. Blum , G. Popovic , S. A. Sisson

We present a procedure to diagnose model misspecification in situations where inference is performed using approximate Bayesian computation. We demonstrate theoretically, and empirically that this procedure can consistently detect the…

Methodology · Statistics 2022-10-25 Andrés Ramírez-Hassan , David T. Frazier

The abrupt outbreak and transmission of biological diseases has always been a long-time concern of humankind. For long, mathematical modeling has served as a simple and yet efficient tool to investigate, predict, and control spread of…

Populations and Evolution · Quantitative Biology 2020-04-10 Aresh Dadlani , Richard O. Afolabi , Hyoyoung Jung , Khosrow Sohraby , Kiseon Kim

Gaussian empirical Bayes methods usually maintain a precision independence assumption: The unknown parameters of interest are independent from the known standard errors of the estimates. This assumption is often theoretically questionable…

Econometrics · Economics 2025-12-30 Jiafeng Chen

Parametric Bayesian modeling offers a powerful and flexible toolbox for machine learning. Yet the model, however detailed, may still be wrong, and this can make inferences untrustworthy. In this paper we introduce a new class of…

Methodology · Statistics 2026-04-03 Bohan Wu , Eli N. Weinstein , Sohrab Salehi , Yixin Wang , David M. Blei

This survey covers state-of-the-art Bayesian techniques for the estimation of mixtures. It complements the earlier Marin, Mengersen and Robert (2005) by studying new types of distributions, the multinomial, latent class and t distributions.…

Computation · Statistics 2008-04-16 Kate Lee , Jean-Michel Marin , Kerrie Mengersen , Christian P. Robert

Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

Computation · Statistics 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski

Attack graphs provide compact representations of the attack paths that an attacker can follow to compromise network resources by analysing network vulnerabilities and topology. These representations are a powerful tool for security risk…

Cryptography and Security · Computer Science 2016-06-23 Luis Muñoz-González , Daniele Sgandurra , Andrea Paudice , Emil C. Lupu

The concepts of Bayesian prediction, model comparison, and model selection have developed significantly over the last decade. As a result, the Bayesian community has witnessed a rapid growth in theoretical and applied contributions to…

Methodology · Statistics 2024-08-07 Yann McLatchie , Sölvi Rögnvaldsson , Frank Weber , Aki Vehtari

Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a drawback of ABC is that it is an approximate method that induces a systematic…

Methodology · Statistics 2015-09-29 Minh Ngoc Tran , Robert Kohn

The standard approach to Bayesian inference is based on the assumption that the distribution of the data belongs to the chosen model class. However, even a small violation of this assumption can have a large impact on the outcome of a…

Methodology · Statistics 2015-06-22 Jeffrey W. Miller , David B. Dunson

This study investigates the spatial integration of agent-based models (ABMs) and compartmental models for infectious disease modeling, presenting a novel hybrid approach and examining its implications. ABMs offer detailed insights by…

Populations and Evolution · Quantitative Biology 2025-02-06 Inan Bostanci , Tim Conrad

The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in competition. In Bayesian inference, first and foremost, MCMC…

Computation · Statistics 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

A method for sequential inference of the fixed parameters of a dynamic latent Gaussian models is proposed and evaluated that is based on the iterated Laplace approximation. The method provides a useful trade-off between computational…

Methodology · Statistics 2015-09-29 Tiep Mai , Simon Wilson

We address in this paper a new approach for fitting spatiotemporal models with application in disease mapping using the interaction types 1,2,3, and 4. When we account for the spatiotemporal interactions in disease-mapping models, inference…

Methodology · Statistics 2022-06-22 Esmail Abdul Fattah , Haavard Rue

Social contact matrices are essential tools in infectious disease epidemiology as they quantify close-range human contact patterns which directly drive the transmission of airborne infectious diseases. In this work we propose a Bayesian…

Methodology · Statistics 2026-05-11 Shozen Dan , David A. van Dyk , Zhi Ling , Swapnil Mishra , Oliver Ratmann

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld