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Bayesian Likelihood-Free Inference (LFI) approaches allow to obtain posterior distributions for stochastic models with intractable likelihood, by relying on model simulations. In Approximate Bayesian Computation (ABC), a popular LFI method,…

Methodology · Statistics 2022-02-08 Lorenzo Pacchiardi , Ritabrata Dutta

Approximate Bayesian computation (ABC) is the most popular approach to inferring parameters in the case where the data model is specified in the form of a simulator. It is not possible to directly implement standard Monte Carlo methods for…

Methodology · Statistics 2024-07-29 Richard G Everitt

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

Computation · Statistics 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Approximate Bayesian Computation (ABC) is a framework for performing likelihood-free posterior inference for simulation models. Stochastic Variational inference (SVI) is an appealing alternative to the inefficient sampling approaches…

Machine Learning · Statistics 2016-06-29 Alexander Moreno , Tameem Adel , Edward Meeds , James M. Rehg , Max Welling

Likelihood-free methods are useful for parameter estimation of complex models with intractable likelihood functions for which it is easy to simulate data. Such models are prevalent in many disciplines including genetics, biology, ecology…

Methodology · Statistics 2022-03-29 Christopher Drovandi , David T Frazier

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…

Methodology · Statistics 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

Accurate epidemic forecasting is critical for effective public health interventions. This study compares Bayesian and Frequentist estimation frameworks within deterministic compartmental epidemic models, focusing on nonlinear least squares…

Quantitative Methods · Quantitative Biology 2025-09-09 Hamed Karami , Ruiyan Luo , Pejman Sanaei , Gerardo Chowell

Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to estimate due to missing data. In this paper we present a novel…

Computation · Statistics 2022-06-22 Shuying Wang , Stephen G. Walker

Inferring parameter distributions of complex industrial systems from noisy time series data requires methods to deal with the uncertainty of the underlying data and the used simulation model. Bayesian inference is well suited for these…

Applications · Statistics 2021-06-18 David N. John , Livia Stohrer , Claudia Schillings , Michael Schick , Vincent Heuveline

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

Methodology · Statistics 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

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,…

Methodology · Statistics 2019-12-24 Rafael Izbicki , Ann B. Lee , Taylor Pospisil

This paper introduces a simple, general framework for likelihood-free Bayesian reinforcement learning, through Approximate Bayesian Computation (ABC). The main advantage is that we only require a prior distribution on a class of simulators…

Machine Learning · Statistics 2013-07-01 Christos Dimitrakakis , Nikolaos Tziortziotis

A vital stage in the mathematical modelling of real-world systems is to calibrate a model's parameters to observed data. Likelihood-free parameter inference methods, such as Approximate Bayesian Computation, build Monte Carlo samples of the…

Computation · Statistics 2021-12-23 Thomas P Prescott , Ruth E Baker

Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation (ABC) method based on sequential Monte…

Computation · Statistics 2009-01-15 Tina Toni , David Welch , Natalja Strelkowa , Andreas Ipsen , Michael P. H. Stumpf

Approximate Bayesian computation (ABC) methods are used to approximate posterior distributions using simulation rather than likelihood calculations. We introduce Gaussian process (GP) accelerated ABC, which we show can significantly reduce…

Computation · Statistics 2014-02-25 Richard D Wilkinson

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…

Quantitative Methods · Quantitative Biology 2014-12-25 Franck Jabot , Guillaume Lagarrigues , Benoît Courbaud , Nicolas Dumoulin

Extracting low-dimensional summary statistics from large datasets is essential for efficient (likelihood-free) inference. We characterize three different classes of summaries and demonstrate their importance for correctly analyzing…

Methodology · Statistics 2025-11-25 Till Hoffmann , Jukka-Pekka Onnela

Much traditional statistical modelling assumes that the outcome variables of interest are independent of each other when conditioned on the explanatory variables. This assumption is strongly violated in the case of infectious diseases,…

Populations and Evolution · Quantitative Biology 2019-11-28 Timothy Kinyanjui , Thomas House

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…

Methodology · Statistics 2017-03-17 Bai Jiang , Tung-yu Wu , Charles Zheng , Wing H. Wong

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
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