Inference for a Proton Accelerator Using Convolution Models
Proton beams present difficulties in analysis because of the limited data that can be collected. The study of such beams must depend on complex computer simulators that incorporate detailed physical equations. The statistical problem of interest is to infer the initial state of the beam from the lim...
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Published in | Journal of the American Statistical Association Vol. 103; no. 482; pp. 604 - 613 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Alexandria, VA
Taylor & Francis
01.06.2008
American Statistical Association Taylor & Francis Ltd |
Subjects | |
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Abstract | Proton beams present difficulties in analysis because of the limited data that can be collected. The study of such beams must depend on complex computer simulators that incorporate detailed physical equations. The statistical problem of interest is to infer the initial state of the beam from the limited data collected as the beam passes through a series of focusing magnets. We are thus faced with a classic inverse problem where the computer simulator links the initial state to the observables. We propose a new model for the initial distribution that is derived from the discretized process convolution approach. This model provides a computationally tractable method for this highly challenging problem. Taking a Bayesian perspective allows better estimation of the uncertainty and propagation of this uncertainty. |
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AbstractList | Proton beams present difficulties in analysis because of the limited data that can be collected. The study of such beams must depend on complex computer simulators that incorporate detailed physical equations. The statistical problem of interest is to infer the initial state of the beam from the limited data collected as the beam passes through a series of focusing magnets. We are thus faced with a classic inverse problem where the computer simulator links the initial state to the observables. We propose a new model for the initial distribution that is derived from the discretized process convolution approach. This model provides a computationally tractable method for this highly challenging problem. Taking a Bayesian perspective allows better estimation of the uncertainty and propagation of this uncertainty. Proton beams present difficulties in analysis because of the limited data that can be collected. The study of such beams must depend on complex computer simulators that incorporate detailed physical equations. The statistical problem of interest is to infer the initial state of the beam from the limited data collected as the beam passes through a series of focusing magnets. We are thus faced with a classic inverse problem where the computer simulator links the initial state to the observables. We propose a new model for the initial distribution that is derived from the discretized process convolution approach. This model provides a computationally tractable method for this highly challenging problem. Taking a Bayesian perspective allows better estimation of the uncertainty and propagation of this uncertainty. [PUBLICATION ABSTRACT] |
Author | Higdon, David M Sansó, Bruno Lee, Herbert K. H Zhou, Weining |
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Copyright | American Statistical Association 2008 Copyright 2008 American Statistical Association 2008 INIST-CNRS American Statistical Association. 2008 Copyright American Statistical Association Jun 2008 |
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Keywords | Bayes estimation Statistical method Computer simulator Density estimation Convolution Bayesian statistics Distribution function Limit analysis Statistical estimation Application Inverse problem |
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References | Gilpatrick J. D. (p_2); 89 Models (p_17) 2000; 63 |
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SubjectTerms | Applications Applications and Case Studies Bayesian analysis Bayesian method Bayesian statistics Computer simulation Computer simulator Convolution Data analysis Density estimation Distribution theory Estimating techniques Exact sciences and technology General topics Inference Inverse problem Inverse problems Magnets Mathematics Modeling Nonparametric models Parametric inference Particle accelerators Particle beams Physics Probability and statistics Probability theory and stochastic processes Proton accelerators Proton beams Protons Regression analysis Sciences and techniques of general use Simulators Statistical methods Statistics Uncertainty |
Title | Inference for a Proton Accelerator Using Convolution Models |
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