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Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction.
Equations of state calculations by fast computing machines
N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller · 1953
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Monte Carlo sampling methods using Markov chains and their applications
W. K. Hastings · 1970
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Design and analysis of computer experiments (with discussion)
J. Sacks, W. J. Welch, T. J. Mitchell, and H. P. Wynn · 1989
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Screening, predicting, and computer experiments
W. J. Welch, R. J. Buck, J. Sacks, H. P. Wynn, T. J. Mitchell, and M. D. Morris · 1992
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Orthogonal array-based Latin hypercubes
B. Tang · 1993
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Bayesian computation and stochastic systems (with discussion)
J. Besag, P. J. Green, D. M. Higdon, and K. Mengersen · 1995
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Functional Data Analysis
J. O. Ramsay and B. W. Silverman · 1997
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Statistical Analysis in Climate Research
H. von Storch and F. W. Zwiers · 1999
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Bayesian calibration of computer models (with discussion)
M. Kennedy and A. O’Hagan · 2001
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Design and analysis of computer experiments
T. J. Santner, B. J. Williams, and W. I. Notz · 2003
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Combining field observations and simulations for calibration and prediction
D. Higdon, M. Kennedy, J. Cavendish, J. Cafeo, and R. D. Ryne · 2004
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Statistical and Computational Inverse Problems
J. P. Kaipio and E. Somersalo · 2004
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Probabilistic sensitivity analysis of complex models
J. Oakley and A. O’Hagan · 2004
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Inverse problem theory and methods for model parameter estimation
A. Tarantola · 2005
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Markov chain Monte Carlo: Stochastic simulation for Bayesian inference
D. Gamerman and H. F. Lopes · 2006
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Modeling data from computer experiments: An empirical comparison of kriging with MARS and projection pursuit regression
E. N. Ben-Ari and D. M. Steinberg · 2007
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Inferring climate system properties using a computer model
B. Sanso, C.E. Forest, and D. Zantedeschi · 2008
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Efficient emulators for multivariate deterministic functions
Jonathan Rougier · 2008
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Computer model calibration using high-dimensional output
D. Higdon, J. Gattiker, B. Williams, and M. Rightley · 2008
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Using statistical and computer models to quantify volcanic hazards
M.J. Bayarri, J.O. Berger, E. Calder, K. Dalbey, S. Lunagomez, A.K. Patra, B.E. Pitman, E.T. Spiller, and R.L. Wolpert · 2009
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Nuclear energy density optimization
M. Kortelainen, T. Lesinski, J. Moré, W. Nazarewicz, J. Sarich, N. Schunck, M. V. Stoitsov, and S. M. Wild · 2010
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Bayesian analysis of computer code outputs: A tutorial
A. O’Hagan · 2006
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Cosmic calibration
K. Heitmann, D. Higdon, S. Habib, and C. Nakhleh · 2006
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A framework for validation of computer models
M. J. Bayarri, J. O. Berger, R. Paulo, J. Sacks, J. A. Cafeo, J. Cavendish, C. Lin, and J. Tu · 2007
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Nuclear energy density optimization: Large deformations
M. Kortelainen, J. McDonnell, W. Nazarewicz, P.-G. Reinhard, J. Sarich, N. Schunck, M. V. Stoitsov, and S. M. Wild · 2012
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First results from the CARIBU facility: Mass measurements on the r-process path
J. Van Schelt, D. Lascar, G. Savard, J. A. Clark, P. F. Bertone, S. Caldwell, A. Chaudhuri, A. F. Levand, G. Li, G. E. Morgan, et al · 2013
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Error analysis in nuclear density functional theory
N. Schunck, J. D. McDonnell, J. Sarich, S. M. Wild, and D. Higdon · 2014
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