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Bayesian computation

An overview on Approximate Bayesian computation*

An overview on Approximate Bayesian computation*

... Since their introduction by Tavaré et al. (1997), approximate Bayesian computation (ABC) methods have been widely used with intractable likelihoods. The basic ABC samplers are presented in Section 2, for ...

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A rare event approach to high dimensional approximate Bayesian computation

A rare event approach to high dimensional approximate Bayesian computation

... Approximate Bayesian computation (ABC) is a family of methods for approximate inference, used when likelihoods are impossible or impractical to evaluate numerically but simulating datasets from the model of ...

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Convergence of regression adjusted approximate Bayesian computation

Convergence of regression adjusted approximate Bayesian computation

... proximate Bayesian computation as the amount of data, n, ...approximate Bayesian computation between choices of the summary statistics and bandwidth that will lead to more accurate inferences, ...

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On the asymptotic efficiency of approximate Bayesian computation estimators

On the asymptotic efficiency of approximate Bayesian computation estimators

... Approximate Bayesian computation is a likelihood-free method for implementing Bayesian inference in such ...approximate Bayesian computation in a large-data ...approximate ...

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On the asymptotic efficiency of approximate Bayesian computation estimators

On the asymptotic efficiency of approximate Bayesian computation estimators

... The main challenge with Theorem 1 are the results about the posterior mean of approximate Bayesian computation. For the convergence of posterior means of approximate Bayesian com- putation we need to ...

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Approximate Bayesian computation for infectious disease modelling

Approximate Bayesian computation for infectious disease modelling

... Approximate Bayesian Computation (ABC) techniques are a suite of model fi tting methods which can be im- plemented without a using likelihood ...reducing computation time and improving accuracy allows ...

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Model selection and parameter estimation of dynamical systems using a novel variant of approximate Bayesian computation

Model selection and parameter estimation of dynamical systems using a novel variant of approximate Bayesian computation

... approximate Bayesian computation (ABC) or likelihood-free algorithms for model selection, the main methods and techniques which have been proposed in the literature to deal with model selection are ...

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A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation

A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation

... Approximate Bayesian Computation methods for performing (approximate) Bayesian inference for stochastic epidemic models given data on outbreaks of infectious ...

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Local Kernel Dimension Reduction in Approximate Bayesian Computation

Local Kernel Dimension Reduction in Approximate Bayesian Computation

... Approximate Bayesian Computation (ABC) is a popular sampling method in applications involving intractable likelihood functions. Instead of evaluating the likelihood function, ABC approximates the posterior ...

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Amount of Information Needed for Model Choice in Approximate Bayesian Computation

Amount of Information Needed for Model Choice in Approximate Bayesian Computation

... Approximate Bayesian Computation (ABC) has become a popular technique in evolutionary genetics for elucidating population structure and history due to its ...

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Examining Phylogenetic Relationships Among Gibbon Genera Using Whole Genome Sequence Data Using an Approximate Bayesian Computation Approach

Examining Phylogenetic Relationships Among Gibbon Genera Using Whole Genome Sequence Data Using an Approximate Bayesian Computation Approach

... approximate Bayesian computation (ABC) method incorporating a model of sequencing error generated by high coverage exome validation to infer the branching order, divergence times, and effective population ...

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Auxiliary likelihood based approximate Bayesian computation in state space models

Auxiliary likelihood based approximate Bayesian computation in state space models

... approximate Bayesian computation ...achieves Bayesian consistency and show that, in the limit, results yielded by the auxiliary maximum likelihood estimator are replicated by the auxiliary ...

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Parameter Calibration in Crowd Simulation Models using Approximate Bayesian Computation

Parameter Calibration in Crowd Simulation Models using Approximate Bayesian Computation

... Approximate Bayesian Computation (ABC), which is already a popular tool in other areas of science, can be used for model fitting and model selection in a pedestrian dynamics ...

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Variance bounding and geometric ergodicity of Markov chain Monte Carlo kernels for approximate Bayesian computation

Variance bounding and geometric ergodicity of Markov chain Monte Carlo kernels for approximate Bayesian computation

... Approximate Bayesian computation has emerged as a standard computational tool when deal- ing with intractable likelihood functions in Bayesian ...

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Automatic kernel selection for Gaussian processes regression with approximate Bayesian computation and sequential Monte Carlo

Automatic kernel selection for Gaussian processes regression with approximate Bayesian computation and sequential Monte Carlo

... two Bayesian tools, Gaussian Processes (GPs), and the use of the Approximate Bayesian Computation (ABC) algorithm for kernel selection and parameter estimation for machine learning ...

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Approximate Bayesian computation in large-scale structure: constraining the galaxy-halo connection

Approximate Bayesian computation in large-scale structure: constraining the galaxy-halo connection

... to Bayesian parameter inference in large-scale structure assume a Gaus- sian functional form (chi-squared form) for the ...approximate Bayesian computation (ABC) re- lax these restrictions and make ...

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Bridging the gap between GLUE and formal statistical approaches: approximate Bayesian computation

Bridging the gap between GLUE and formal statistical approaches: approximate Bayesian computation

... approximate Bayesian computation (ABC) (Marjoram et ...approximate Bayesian pro- cedure even when the "generalized likelihood" is not a true ...

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Approximate Bayesian computation by subset simulation

Approximate Bayesian computation by subset simulation

... Approximate Bayesian Computation (ABC) with a highly- efficient rare-event sampler, Subset Simulation, which draws conditional samples from a nested sequence of subdomains defined in an adaptive and ...

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The rate of convergence for approximate Bayesian computation

The rate of convergence for approximate Bayesian computation

... Approximate Bayesian Computation (ABC) is a popular method for likelihood- free Bayesian inference. ABC methods were originally introduced in popula- tion genetics, but are now widely used in ...

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Asymptotic properties of approximate Bayesian computation

Asymptotic properties of approximate Bayesian computation

... imate Bayesian computation ...zero. Bayesian consistency places a less stringent condi- tion on the speed with which the tolerance declines to zero than does asymptotic normality of the posterior ...

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