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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) enables statistical inference in simulator-based models whose likelihoods are difficult to calculate but easy to simulate from. ABC constructs a kernel-type approximation to the posterior distribution…

统计方法学 · 统计学 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

We consider the problem of approximate Bayesian parameter inference in non-linear state-space models with intractable likelihoods. Sequential Monte Carlo with approximate Bayesian computations (SMC-ABC) is one approach to approximate the…

统计计算 · 统计学 2017-06-14 Johan Dahlin , Mattias Villani , Thomas B. Schön

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

Approximate Bayesian computation (ABC) using a sequential Monte Carlo method provides a comprehensive platform for parameter estimation, model selection and sensitivity analysis in differential equations. However, this method, like other…

机器学习 · 统计学 2015-07-21 Sanmitra Ghosh , Srinandan Dasmahapatra , Koushik Maharatna

Approximate Bayesian Computation (ABC) methods are used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Both the accuracy and computational efficiency of ABC depend on the choice of…

统计方法学 · 统计学 2017-03-17 Bai Jiang , Tung-yu Wu , Charles Zheng , Wing H. Wong

Approximate Bayesian computation (ABC) methods are standard tools for inferring parameters of complex models when the likelihood function is analytically intractable. A popular approach to improving the poor acceptance rate of the basic…

统计方法学 · 统计学 2025-01-27 Henri Pesonen , Jukka Corander

Sequential algorithms such as sequential importance sampling (SIS) and sequential Monte Carlo (SMC) have proven fundamental in Bayesian inference for models not admitting a readily available likelihood function. For approximate Bayesian…

统计计算 · 统计学 2024-11-08 Umberto Picchini , Massimiliano Tamborrino

Approximate Bayesian computation (ABC) is a popular likelihood-free inference method for models with intractable likelihood functions. As ABC methods usually rely on comparing summary statistics of observed and simulated data, the choice of…

机器学习 · 统计学 2022-06-22 Ayush Bharti , Louis Filstroff , Samuel Kaski

Background: When conducting a meta-analysis of a continuous outcome, estimated means and standard deviations from the selected studies are required in order to obtain an overall estimate of the mean effect and its confidence interval. If…

统计方法学 · 统计学 2020-04-07 Deukwoo Kwon , Isildinha M. Reis

We consider a method for approximate inference in hidden Markov models (HMMs). The method circumvents the need to evaluate conditional densities of observations given the hidden states. It may be considered an instance of Approximate…

统计计算 · 统计学 2012-06-25 James S. Martin , Ajay Jasra , Sumeetpal S. Singh , Nick Whiteley , Emma McCoy

Approximate Bayesian computation (ABC) is a well-established family of Monte Carlo methods for performing approximate Bayesian inference in the case where an ``implicit'' model is used for the data: when the data model can be simulated, but…

统计计算 · 统计学 2022-11-07 Ivis Kerama , Thomas Thorne , Richard G. Everitt

ABC (approximate Bayesian computation) is a general approach for dealing with models with an intractable likelihood. In this work, we derive ABC algorithms based on QMC (quasi- Monte Carlo) sequences. We show that the resulting ABC…

统计计算 · 统计学 2018-05-08 Alexander Buchholz , Nicolas Chopin

1. Challenging calibration of complex models can be approached by using prior knowledge on the parameters. However, the natural choice of Bayesian inference can be computationally heavy when relying on Markov Chain Monte Carlo (MCMC)…

应用统计 · 统计学 2023-04-27 Charlotte Baey , Henrik G. Smith , Maj Rundlöf , Ola Olsson , Yann Clough , Ullrika Sahlin

Model selection in the presence of intractable likelihoods remains a central challenge in Bayesian inference. Approximate Bayesian computation (ABC) provides a flexible likelihood-free framework, but its use for model choice is known to be…

统计方法学 · 统计学 2026-03-03 Clara Grazian

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

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

Mechanistic models are essential tools across ecology, epidemiology, and the life sciences, but parameter inference remains challenging when likelihood functions are intractable. Approximate Bayesian Computation with Sequential Monte Carlo…

种群与进化 · 定量生物学 2025-11-27 Mario Castro

Given the complexity of modern cosmological parameter inference where we are faced with non-Gaussian data and noise, correlated systematics and multi-probe correlated data sets, the Approximate Bayesian Computation (ABC) method is a…

天体物理仪器与方法 · 物理学 2017-03-08 Elise Jennings , Maeve Madigan

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

统计计算 · 统计学 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg