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Approximate Bayesian Computation (ABC) methods are commonly used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Classical ABC methods are based on nearest neighbor type algorithms…

统计方法学 · 统计学 2025-06-24 Meili Baragatti , Casenave Céline , Bertrand Cloez , David Métivier , Isabelle Sanchez

To infer the parameters of mechanistic models with intractable likelihoods, techniques such as approximate Bayesian computation (ABC) are increasingly being adopted. One of the main disadvantages of ABC in practical situations, however, is…

统计计算 · 统计学 2018-08-03 Jonathan U Harrison , Ruth E Baker

Approximate Bayesian Computation (ABC) is a popular inference method when likelihoods are hard to come by. Practical bottlenecks of ABC applications include selecting statistics that summarize the data without losing too much information or…

统计计算 · 统计学 2026-05-15 Khanh N. Dinh , Cécile Liu , Zijin Xiang , Zhihan Liu , Simon Tavaré

Complicated generative models often result in a situation where computing the likelihood of observed data is intractable, while simulating from the conditional density given a parameter value is relatively easy. Approximate Bayesian…

机器学习 · 统计学 2015-12-29 Mijung Park , Wittawat Jitkrittum , Dino Sejdinovic

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

The Python package pyABC provides a framework for approximate Bayesian computation (ABC), a likelihood-free parameter inference method popular in many research areas. At its core, it implements a sequential Monte-Carlo (SMC) scheme, with…

定量方法 · 定量生物学 2022-03-25 Yannik Schälte , Emmanuel Klinger , Emad Alamoudi , Jan Hasenauer

Until recently, the use of Bayesian inference in population genetics was limited to a few cases because for many realistic population genetic models the likelihood function cannot be calculated analytically . The situation changed with the…

统计方法学 · 统计学 2009-01-16 Christoph Leuenberger Daniel Wegmann Laurent Excoffier

We are living in the big data era, as current technologies and networks allow for the easy and routine collection of data sets in different disciplines. Bayesian Statistics offers a flexible modeling approach which is attractive for…

统计方法学 · 统计学 2018-05-09 George Karabatsos , Fabrizio Leisen

The goal of this paper is to explore the basic Approximate Bayesian Computation (ABC) algorithm via the lens of information theory. ABC is a widely used algorithm in cases where the likelihood of the data is hard to work with or…

统计方法学 · 统计学 2019-08-14 Konstantinos Spiliopoulos

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…

统计方法学 · 统计学 2015-09-29 Minh Ngoc Tran , Robert Kohn

Approximate Bayesian Computation (ABC) methods are increasingly used for inference in situations in which the likelihood function is either computationally costly or intractable to evaluate. Extensions of the basic ABC rejection algorithm…

统计计算 · 统计学 2020-05-01 Umberto Simola , Jessica Cisewski-Kehe , Michael U. Gutmann , Jukka Corander

In recent years, methods of approximate parameter estimation have attracted considerable interest in complex problems where exact likelihoods are hard to obtain. In their most basic form, Bayesian methods such as Approximate Bayesian…

统计计算 · 统计学 2015-07-17 Johanna Bertl , Gregory Ewing , Carolin Kosiol , Andreas Futschik

Approximate Bayesian computation (ABC) performs statistical inference for otherwise intractable probability models by accepting parameter proposals when corresponding simulated datasets are sufficiently close to the observations. Producing…

统计计算 · 统计学 2014-12-05 Dennis Prangle

Scientists often express their understanding of the world through a computationally demanding simulation program. Analyzing the posterior distribution of the parameters given observations (the inverse problem) can be extremely challenging.…

机器学习 · 计算机科学 2014-01-14 Edward Meeds , Max Welling

Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

机器学习 · 统计学 2018-04-03 George Papamakarios , Iain Murray

Approximate Bayesian Computation (ABC) is typically used when the likelihood is either unavailable or intractable but where data can be simulated under different parameter settings using a forward model. Despite the recent interest in ABC,…

统计方法学 · 统计学 2019-12-24 Rafael Izbicki , Ann B. Lee , Taylor Pospisil

This preprint has been reviewed and recommended by Peer Community In Evolutionary Biology (http://dx.doi.org/10.24072/pci.evolbiol.100036). Approximate Bayesian computation (ABC) has grown into a standard methodology that manages Bayesian…

The ability to efficiently infer system parameters is essential in any signal-processing task that requires fast operation. Dealing with quantum systems, a serious challenge arises due to substantial growth of the underlying Hilbert space…

量子物理 · 物理学 2025-04-23 Lewis A. Clark , Jan Kolodynski

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), also known as likelihood-free methods, have become a favourite tool for the analysis of complex stochastic models, primarily in population genetics but also in financial analyses. We advocated in…

统计计算 · 统计学 2015-03-18 Christian Robert , Jean-Michel Marin , Natesh S. Pillai