An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models

In recent years, interest in the Bayesian approach for the calibration of hydrological and environmental simulation (HES) models has been growing. To extract useful information on unknown parameters produced in a Bayesian calibration, it is often necessary to rely on samples drawn from the posterior...

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Main Authors: Xie, Hua, Eheart, J. Wayland, Chen, Yuguo, Bailey, Barbara A.
Format: Journal Article
Language:Inglés
Published: American Geophysical Union 2009
Subjects:
Online Access:https://hdl.handle.net/10568/162205
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author Xie, Hua
Eheart, J. Wayland
Chen, Yuguo
Bailey, Barbara A.
author_browse Bailey, Barbara A.
Chen, Yuguo
Eheart, J. Wayland
Xie, Hua
author_facet Xie, Hua
Eheart, J. Wayland
Chen, Yuguo
Bailey, Barbara A.
author_sort Xie, Hua
collection Repository of Agricultural Research Outputs (CGSpace)
description In recent years, interest in the Bayesian approach for the calibration of hydrological and environmental simulation (HES) models has been growing. To extract useful information on unknown parameters produced in a Bayesian calibration, it is often necessary to rely on samples drawn from the posterior distribution. Sampling a posterior distribution requires a large number of evaluations of the simulation model, and the total computational costs could be prohibitively high when the simulation model is computationally expensive. A new computing strategy is proposed in this paper to alleviate this computational difficulty by making better use of the information generated in a costly run of the HES model by using multiple evaluations of the posterior density in the less computationally expensive subspace of error model parameters. A multiple‐try Markov chain Monte Carlo (MCMC) algorithm is designed to implement this idea and is benchmarked with the Metropolis‐Hastings algorithm, a basic recipe for MCMC sampling. The results show that the proposed strategy has potential for improving the computational efficiency of posterior sampling and easing its implementation in the Bayesian calibration of computationally expensive HES models.
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spelling CGSpace1622052024-11-21T10:01:43Z An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models Xie, Hua Eheart, J. Wayland Chen, Yuguo Bailey, Barbara A. Bayesian theory calibration models In recent years, interest in the Bayesian approach for the calibration of hydrological and environmental simulation (HES) models has been growing. To extract useful information on unknown parameters produced in a Bayesian calibration, it is often necessary to rely on samples drawn from the posterior distribution. Sampling a posterior distribution requires a large number of evaluations of the simulation model, and the total computational costs could be prohibitively high when the simulation model is computationally expensive. A new computing strategy is proposed in this paper to alleviate this computational difficulty by making better use of the information generated in a costly run of the HES model by using multiple evaluations of the posterior density in the less computationally expensive subspace of error model parameters. A multiple‐try Markov chain Monte Carlo (MCMC) algorithm is designed to implement this idea and is benchmarked with the Metropolis‐Hastings algorithm, a basic recipe for MCMC sampling. The results show that the proposed strategy has potential for improving the computational efficiency of posterior sampling and easing its implementation in the Bayesian calibration of computationally expensive HES models. 2009-06 2024-11-21T10:01:42Z 2024-11-21T10:01:42Z Journal Article https://hdl.handle.net/10568/162205 en Limited Access American Geophysical Union Xie, Hua; Eheart, J. Wayland; Chen, Yuguo; Bailey, Barbara A. 2009. An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models. Water Resources Research Water Resources Research 45: W06419
spellingShingle Bayesian theory
calibration
models
Xie, Hua
Eheart, J. Wayland
Chen, Yuguo
Bailey, Barbara A.
An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models
title An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models
title_full An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models
title_fullStr An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models
title_full_unstemmed An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models
title_short An approach for improving the sampling efficiency in the Bayesian calibration of computationally expensive simulation models
title_sort approach for improving the sampling efficiency in the bayesian calibration of computationally expensive simulation models
topic Bayesian theory
calibration
models
url https://hdl.handle.net/10568/162205
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