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Inverse Problems for Physics-Based Process Models

delete2024-04-22
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PRE
AI
D
Derek Bingham *
T
Troy Butler
E
Estep, Don
DOI:10.1146/annurev-statistics-031017-100108delete
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摘要

摘要

En 中文
We describe and compare two formulations of inverse problems for a physics-based process model in the context of uncertainty and random variability: the Bayesian inverse problem and the stochastic inverse problem. We describe the foundations of the two problems in order to create a context for interpreting the applicability and solutions of inverse problems important for scientific and engineering inference. We conclude by comparing them to statistical approaches to related problems, including Bayesian calibration of computer models.
Keyword:
Bayesian calibration
Bayesian inverse problem
conditional probability
disintegration
inverse problem
probability
stochastic forward problem
stochastic inverse problem

期刊

Annual Review of Statistics and Its Application 封面图
Annual Review of Statistics and Its Application
IF:
8.7
论文数:
211
被引数:
2.4K

机构

S
Simon Fraser University
学者数:
1.0W
论文数: 1.0W
被引数: 1.4W
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