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This paper is on Bayesian inference for parametric statistical models that are defined by a stochastic simulator which specifies how data is generated. Exact sampling is then possible but evaluating the likelihood function is typically…

Machine Learning · Statistics 2020-03-02 Borislav Ikonomov , Michael U. Gutmann

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…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-28 Tomasz Kacprzak , Jörg Herbel , Adam Amara , Alexandre Réfrégier

For many decades now, Bayesian Model Averaging (BMA) has been a popular framework to systematically account for model uncertainty that arises in situations when multiple competing models are available to describe the same or similar…

Computation · Statistics 2022-03-29 Vojtech Kejzlar , Shrijita Bhattacharya , Mookyong Son , Tapabrata Maiti

Approximate Bayesian Computation (ABC) methods are applicable to statistical models specified by generative processes with analytically intractable likelihoods. These methods try to approximate the posterior density of a model parameter by…

Methodology · Statistics 2024-03-11 Sanjay Chaudhuri , Subhroshekhar Ghosh , Kim Cuc Pham

Causal inference and the estimation of causal effects plays a central role in decision-making across many areas, including healthcare and economics. Estimating causal effects typically requires an estimator that is tailored to each problem…

Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

Computation · Statistics 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

Multifidelity approximate Bayesian computation (MF-ABC) is a likelihood-free technique for parameter inference that exploits model approximations to significantly increase the speed of ABC algorithms (Prescott and Baker, 2020). Previous…

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

Bayesian inference affords scientists with powerful tools for testing hypotheses. One of these tools is the Bayes factor, which indexes the extent to which support for one hypothesis over another is updated after seeing the data. Part of…

Computation · Statistics 2018-12-11 Thomas J. Faulkenberry

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…

Quantum Physics · Physics 2025-04-23 Lewis A. Clark , Jan Kolodynski

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…

Computation · Statistics 2018-08-03 Jonathan U Harrison , Ruth E Baker

Approximate Bayesian computation (ABC) methods can be used to sample from posterior distributions when the likelihood function is unavailable or intractable, as is often the case in biological systems. ABC methods suffer from inefficient…

Machine Learning · Statistics 2019-12-03 Charlie Rogers-Smith , Henri Pesonen , Samuel Kaski

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…

Computation · Statistics 2018-12-03 Suzanne Thornton , Wentao Li , Min-ge Xie

As machine learning-based prediction systems are increasingly used in high-stakes situations, it is important to understand how such predictive models will perform upon deployment. Distribution-free uncertainty quantification techniques…

Machine Learning · Computer Science 2025-06-12 Jake C. Snell , Thomas L. Griffiths

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…

Methodology · Statistics 2019-08-14 Konstantinos Spiliopoulos

Approximate Bayesian Computation (ABC) are likelihood-free Monte Carlo methods. ABC methods use a comparison between simulated data, using different parameters drew from a prior distribution, and observed data. This comparison process is…

Machine Learning · Statistics 2015-03-31 Carlos D. Zuluaga , Edgar A. Valencia , Mauricio A. Álvarez

Approximate Bayesian computation (ABC) is a simulation-based likelihood-free method applicable to both model selection and parameter estimation. ABC parameter estimation requires the ability to forward simulate datasets from a candidate…

Methodology · Statistics 2020-11-10 Louis Raynal , Sixing Chen , Antonietta Mira , Jukka-Pekka Onnela

Approximate Bayesian computation (ABC) has become an essential part of the Bayesian toolbox for addressing problems in which the likelihood is prohibitively expensive or entirely unknown, making it intractable. ABC defines a…

Methodology · Statistics 2020-07-14 Hien D. Nguyen , Julyan Arbel , Hongliang Lü , Florence Forbes

Given a deep neural network image classification model that we treat as a black box, and an unlabeled evaluation dataset, we develop an efficient strategy by which the classifier can be evaluated. Randomly sampling and labeling instances…

Machine Learning · Computer Science 2020-06-30 Walter Bennette , Karsten Maurer , Sean Sisti

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

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi
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