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Original Articles

Inverse uncertainty quantification of input model parameters for thermal-hydraulics simulations using expectation–maximization under Bayesian framework

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Pages 1011-1026 | Received 09 Nov 2014, Accepted 28 Aug 2015, Published online: 02 Oct 2015

References

  • J. Aldrich, R.A. Fisher and the making of maximum likelihood 1912–1922, Statist. Sci. 12(3) (1997), pp. 162–176. doi: 10.1214/ss/1030037906
  • B.E. Boyack, I. Catton, R.B. Duffey, P. Griffith, K.R. Katsma, G.S. Lellouche, S. Levy, U.S. Rohatgi, G.E. Wilson, W. Wulff, and N. Zuber, Quantifying rEACTOR sAFETY mARGINS part 1: An overview of the code scaling, Applicability, And Uncertain. Eval. Methodol Nuclear Eng. Design 119 (1990), pp. 1–15. doi: 10.1016/0029-5493(90)90071-5
  • A. de Crecy, Determination of the Uncertainties of the Constitutive Relationships of the CATHARE 2 Code, Mathematics and Computation, Salt Lake City, 2001.
  • A. de Crécy, P. Bazin, H. Glaeser, T. Skorek, J. Joucla, P. Probst, K. Fujioka, B.D. Chung, D.Y. Oh, M. Kyncl, R. Pernica, J. Macek, R. Meca, R. Macian, F. D'Auria, A. Petruzzi, L. Batet, M. Perez, and F. Reventos, Uncertainty and sensitivity analysis of the LOFT L2-5 test: Results of the BEMUSE programme, Nuclear Eng. Design 238 (2008), pp. 3561–3578. doi: 10.1016/j.nucengdes.2008.06.004
  • A.P. Dempster, N.M. Laird, and D.B. Rubin, Maximum likelihood from incomplete data via the EM algorithm, J. R. Statist. Soc. Ser. B 39 (1977), pp. 1–38.
  • C. Fraley and A. Raftery, Bayesian regularization for normal mixture estimation and model-based clustering, J. Classification 24 (2007), pp. 155–181. doi: 10.1007/s00357-007-0004-5
  • C. Frepoli, Realistic large break LOCA analysis of AP1000 with ASTRUM, NUTHOS-6, N6P314, Japan, 2004.
  • J.-L. Gauvain and C.-H. Lee, Maximum a posteriori estimation for multivariate gaussian mixture observations of Markov chains, IEEE Trans. Speech Audio Process. 2(2) (1994), pp. 291–298. doi: 10.1109/89.279278
  • H. Glaeser, GRS method for uncertainty and sensitivity evaluation of code results and applications, Sci. Technol. Nuclear Installations, 2008 (2008). doi: 10.1155/2008/798901
  • M.R. Gupta and Y. Chen, Theory and Use of the EM Algorithm, Now Publishers Inc., Hanover, 2011.
  • J. Hadamard, Lectures on Cauchy's Problem, Yale University Press, New Haven, 1923.
  • P. Ihle and K. Rust, FEBA-Flooding Experiments with Blocked Arrays Evaluation Report, 1984.
  • W. Jaeger, Uncertainty and Sensitivity Study with TRACE-DAKOTA and TRACE-SUSA: A Comparison Based on NUPEC BFBT Experimental Data, CAMP 2012, Slovenia, 2012.
  • J. Kaipio and E. Somersalo, Statistical and Computational Inverse Problems, Springer, New York, 2005.
  • Z. Liang and S. Wang, An EM approach to MAP solution of segmenting tissue mixtures: A numerical analysis, IEEE Trans. Med. Imag. 28(2) (2009), pp. 297–310. doi: 10.1109/TMI.2008.2004670
  • R.P. Martin and L.D. O'Dell, AREVA's realistic large break LOCA analysis methodology, Nuclear Eng. Design 235 (2005), pp. 1713–1725. doi: 10.1016/j.nucengdes.2005.02.004
  • G.J. Mclachlan and D. Peel, Finite Mixture Models, Wiley, New York, 2000.
  • W.L. Oberkampf and T.G. Trucano, Verification and validation in computational fuid dynamics, Progress Aerospace Sci. 38 (2002), pp. 209–272. doi: 10.1016/S0376-0421(02)00005-2
  • R.A. Redner and H.F. Walker, Mixture densities, maximum likelihood and the EM algorithm, SIAM Rev. 26(2) (1984), pp. 195–239. doi: 10.1137/1026034
  • J.L. Schafer, Analysis of Incomplete Multivariate Data by Simulation, Chapman and Hall, London, 1997.
  • A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, Philadelphia, 2005.
  • U.S. Nuclear Regulatory Commission, Regulatory Analysis Guidelines of the U.S. Nuclear Regulatory Commission, NUREG/BR-0058 Revision 4, 2004.
  • S.V. Vaseghi, Advanced Digital Signal Processing and Noise Reduction, John Wiley & Sons Ltd., Hoboken, 2000.
  • J. Zhou, J.L. Coatrieux, A. Bousse, H. Shu, and L. Luo, A Bayesian MAP-EM algorithm for PET image reconstruction using wavelet transform, IEEE Trans. Nucl. Sci. 54(5) (2007), pp. 1660–1669. doi: 10.1109/TNS.2007.901200

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