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Approximate Bayesian computing is a powerful likelihood-free method that has grown increasingly popular since early applications in population genetics. However, complications arise in the theoretical justification for Bayesian inference…

统计计算 · 统计学 2018-12-03 Suzanne Thornton , Wentao Li , Min-ge Xie

In many applications involving spatial point patterns, we find evidence of inhibition or repulsion. The most commonly used class of models for such settings are the Gibbs point processes. A recent alternative, at least to the statistical…

统计计算 · 统计学 2016-08-29 Shinichiro Shirota , Alan. E. Gelfand

Approximate Bayesian Computation (ABC for short) is a family of computational techniques which offer an almost automated solution in situations where evaluation of the posterior likelihood is computationally prohibitive, or whenever…

统计理论 · 数学 2013-06-04 Gérard Biau , Frédéric Cérou , Arnaud Guyader

Approximate Bayesian computation (ABC) methods have become increasingly prevalent of late, facilitating as they do the analysis of intractable, or challenging, statistical problems. With the initial focus being primarily on the practical…

统计计算 · 统计学 2015-08-24 David T. Frazier , Gael M. Martin , Christian P. Robert

We develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical…

统计方法学 · 统计学 2019-02-08 Fangzheng Xie , Yanxun Xu

Many statistical applications involve models for which it is difficult to evaluate the likelihood, but from which it is relatively easy to sample. Approximate Bayesian computation is a likelihood-free method for implementing Bayesian…

统计方法学 · 统计学 2017-11-29 Wentao Li , Paul Fearnhead

In many inference problems, the evaluation of complex and costly models is often required. In this context, Bayesian methods have become very popular in several fields over the last years, in order to obtain parameter inversion, model…

计算工程、金融与科学 · 计算机科学 2021-07-21 Luca Martino , Víctor Elvira , Javier López-Santiago , Gustau Camps-Valls

Approximate Bayesian Computation (ABC) is a widely applicable and popular approach to estimating unknown parameters of mechanistic models. As ABC analyses are computationally expensive, parallelization on high-performance infrastructure is…

定量方法 · 定量生物学 2023-05-02 Emad Alamoudi , Felipe Reck , Nils Bundgaard , Frederik Graw , Lutz Brusch , Jan Hasenauer , Yannik Schälte

We propose a novel use of a recent new computational tool for Bayesian inference, namely the Approximate Bayesian Computation (ABC) methodology. ABC is a way to handle models for which the likelihood function may be intractable or even…

统计计算 · 统计学 2014-03-04 Clara Grazian , Brunero Liseo

For several decades now, Bayesian inference techniques have been applied to theories of particle physics, cosmology and astrophysics to obtain the probability density functions of their free parameters. In this study, we review and compare…

高能物理 - 唯象学 · 物理学 2025-09-03 Joshua Albert , Csaba Balazs , Andrew Fowlie , Will Handley , Nicholas Hunt-Smith , Roberto Ruiz de Austri , Martin White

Although a great number of computational models of water are available today, the majority of current biological simulations are done with simple models, such as TIP3P and SPC, developed almost thirty years ago and only slightly modified…

化学物理 · 物理学 2015-05-07 Igor Leontyev , Alexei Stuchebrukhov

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

统计理论 · 数学 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

We present a data-efficient, multiscale framework for predicting the density profiles of confined fluids at the nanoscale. While accurate density estimates require prohibitively long timescales that are inaccessible by ab initio molecular…

计算物理 · 物理学 2025-09-11 Bugra Yalcin , Ishan Nadkarni , Jinu Jeong , Chenxing Liang , Narayana R. Aluru

We propose a general framework using spike-and-slab prior distributions to aid with the development of high-dimensional Bayesian inference. Our framework allows inference with a general quasi-likelihood function. We show that highly…

统计理论 · 数学 2019-08-21 Yves Atchade , Anwesha Bhattacharyya

Modern neural networks have proven to be powerful function approximators, providing state-of-the-art performance in a multitude of applications. They however fall short in their ability to quantify confidence in their predictions - this is…

机器学习 · 统计学 2020-06-29 Alex J. Chan , Ahmed M. Alaa , Zhaozhi Qian , Mihaela van der Schaar

This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model parameters. With the increasing importance of inverter-based…

最优化与控制 · 数学 2023-11-15 Ahmed Attia , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

Approximate Bayesian Computation is a family of likelihood-free inference techniques that are well-suited to models defined in terms of a stochastic generating mechanism. In a nutshell, Approximate Bayesian Computation proceeds by computing…

统计计算 · 统计学 2010-07-28 Michael Blum

We present a Bayesian approach to estimate the parameters of mathematical models of cardiac electrophysiology with quantified uncertainty. Such models capture the dynamics of the electrical signal that coordinates the muscle cell…

数值分析 · 数学 2026-04-02 Maarten Volkaerts , Marie Cloet , Hans Dierckx , Piet Claus , Giovanni Samaey

Approximate Bayesian computation (ABC) methods permit approximate inference for intractable likelihoods when it is possible to simulate from the model. However they perform poorly for high dimensional data, and in practice must usually be…

统计计算 · 统计学 2017-04-05 Dennis Prangle , Richard G. Everitt , Theodore Kypraios

Many modern statistical applications involve inference for complex stochastic models, where it is easy to simulate from the models, but impossible to calculate likelihoods. Approximate Bayesian computation (ABC) is a method of inference for…

统计方法学 · 统计学 2015-03-14 Paul Fearnhead , Dennis Prangle
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