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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

Approximate Bayesian computation (ABC) is one of the most popular "likelihood-free" methods. These methods have been applied in a wide range of fields by providing solutions to intractable likelihood problems in which exact Bayesian…

统计方法学 · 统计学 2025-04-08 Chaya Weerasinghe , David T. Frazier , Ruben Loaiza-Maya , Christopher Drovandi

Approximate Bayesian computation (ABC) is a likelihood-free approach for Bayesian inferences based on a rejection algorithm method that applies a tolerance of dissimilarity between summary statistics from observed and simulated data.…

种群与进化 · 定量生物学 2013-09-26 Shigeki Nakagome , Kenji Fukumizu , Shuhei Mano

Performing exact posterior inference in complex generative models is often difficult or impossible due to an expensive to evaluate or intractable likelihood function. Approximate Bayesian computation (ABC) is an inference framework that…

机器学习 · 统计学 2016-02-16 Jovana Mitrovic , Dino Sejdinovic , Yee Whye Teh

Many modern statistical applications involve inference for complicated stochastic models for which the likelihood function is difficult or even impossible to calculate, and hence conventional likelihood-based inferential echniques cannot be…

统计计算 · 统计学 2013-05-29 Simon R. White , Theodore Kypraios , Simon P. Preston

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

统计方法学 · 统计学 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

Approximate Bayesian computation (ABC) is a method for Bayesian inference when the likelihood is unavailable but simulating from the model is possible. However, many ABC algorithms require a large number of simulations, which can be costly.…

机器学习 · 统计学 2018-10-15 Marko Järvenpää , Michael U. Gutmann , Arijus Pleska , Aki Vehtari , Pekka Marttinen

Approximate Bayesian computation performs approximate inference for models where likelihood computations are expensive or impossible. Instead simulations from the model are performed for various parameter values and accepted if they are…

统计计算 · 统计学 2015-12-16 Dennis Prangle

This paper provides a review of Approximate Bayesian Computation (ABC) methods for carrying out Bayesian posterior inference, through the lens of density estimation. We describe several recent algorithms and make connection with traditional…

统计计算 · 统计学 2019-09-09 Clara Grazian , Yanan Fan

Approximate Bayesian Computation (ABC) is a method to obtain a posterior distribution without a likelihood function, using simulations and a set of distance metrics. For that reason, it has recently been gaining popularity as an analysis…

宇宙学与河外天体物理 · 物理学 2018-02-28 Tomasz Kacprzak , Jörg Herbel , Adam Amara , Alexandre Réfrégier

Approximate Bayesian Computation (ABC) methods have gained in their popularity over the last decade because they expand the horizon of Bayesian parameter inference methods to the range of models for which only forward simulation is…

统计计算 · 统计学 2016-08-05 Majid K. Vakilzadeh , James L. Beck , Thomas Abrahamsson

A growing number of generative statistical models do not permit the numerical evaluation of their likelihood functions. Approximate Bayesian computation (ABC) has become a popular approach to overcome this issue, in which one simulates…

统计方法学 · 统计学 2019-05-10 Espen Bernton , Pierre E. Jacob , Mathieu Gerber , Christian P. Robert

Approximate Bayesian Computation (ABC) is a family of statistical inference techniques, which is increasingly used in biology and other scientific fields. Its main benefit is to be applicable to models for which the computation of the model…

定量方法 · 定量生物学 2014-12-25 Franck Jabot , Guillaume Lagarrigues , Benoît Courbaud , Nicolas Dumoulin

In recent years dynamical modelling has been provided with a range of breakthrough methods to perform exact Bayesian inference. However it is often computationally unfeasible to apply exact statistical methodologies in the context of large…

统计计算 · 统计学 2014-12-24 Umberto Picchini , Julie Lyng Forman

Controlled branching processes are stochastic growth population models in which the number of individuals with reproductive capacity in each generation is controlled by a random control function. The purpose of this work is to examine the…

统计方法学 · 统计学 2019-07-03 M. González , R. Martínez , C. Minuesa , I. del Puerto

Many models of interest in the natural and social sciences have no closed-form likelihood function, which means that they cannot be treated using the usual techniques of statistical inference. In the case where such models can be…

统计计算 · 统计学 2012-07-19 Simon Barthelmé , Nicolas Chopin

Approximate Bayesian Computation (ABC) provides methods for Bayesian inference in simulation-based stochastic models which do not permit tractable likelihoods. We present a new ABC method which uses probabilistic neural emulator networks to…

机器学习 · 统计学 2019-05-21 Jan-Matthis Lueckmann , Giacomo Bassetto , Theofanis Karaletsos , Jakob H. Macke

We propose a novel approach to approximate Bayesian computation (ABC) that seeks to cater for possible misspecification of the assumed model. This new approach can be equally applied to rejection-based ABC and to popular regression…

统计方法学 · 统计学 2020-08-11 David T. Frazier , Christopher Drovandi , Ruben Loaiza-Maya

Approximate Bayesian Computation (ABC) is a popular sampling method in applications involving intractable likelihood functions. Without evaluating the likelihood function, ABC approximates the posterior distribution by the set of accepted…

统计计算 · 统计学 2017-08-17 Jin Zhou , Kenji Fukumizu

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