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Volumn 17, Issue 7, 2010, Pages 825-847

Bayesian system identification based on probability logic

Author keywords

Bayesian updating; model assessment; probability logic; robust predictions; system identification

Indexed keywords

BAYESIAN UPDATING; MODEL ASSESSMENT; PROBABILITY LOGIC; ROBUST PREDICTIONS; SYSTEM IDENTIFICATIONS;

EID: 78349269952     PISSN: 15452255     EISSN: 15452263     Source Type: Journal    
DOI: 10.1002/stc.424     Document Type: Article
Times cited : (567)

References (43)
  • 3
    • 0000235984 scopus 로고    scopus 로고
    • Updating models and their uncertainties. I: Bayesian statistical framework
    • Beck JL, Katafygiotis LS,. Updating models and their uncertainties. I: Bayesian statistical framework. Journal of Engineering Mechanics 1998; 124: 455 - 461.
    • (1998) Journal of Engineering Mechanics , vol.124 , pp. 455-461
    • Beck, J.L.1    Katafygiotis, L.S.2
  • 4
    • 0000235985 scopus 로고    scopus 로고
    • Updating models and their uncertainties. II: Model identifiability
    • Katafygiotis LS, Beck JL,. Updating models and their uncertainties. II: Model identifiability. Journal of Engineering Mechanics 1998; 124: 463 - 467.
    • (1998) Journal of Engineering Mechanics , vol.124 , pp. 463-467
    • Katafygiotis, L.S.1    Beck, J.L.2
  • 5
    • 0036531869 scopus 로고    scopus 로고
    • Tangential-projection algorithm for manifold representation in unidentifiable model updating problems
    • Katafygiotis LS, Lam HF,. Tangential-projection algorithm for manifold representation in unidentifiable model updating problems. Earthquake Engineering and Structural Dynamics 2002; 31: 791 - 812.
    • (2002) Earthquake Engineering and Structural Dynamics , vol.31 , pp. 791-812
    • Katafygiotis, L.S.1    Lam, H.F.2
  • 7
    • 13244299155 scopus 로고    scopus 로고
    • Structural damage detection and assessment using adaptive Markov Chain Monte Carlo simulation
    • Yuen KV, Au SK, Beck JL,. Structural damage detection and assessment using adaptive Markov Chain Monte Carlo simulation. Journal of Structural Control and Health Monitoring 2004; 11: 327 - 347.
    • (2004) Journal of Structural Control and Health Monitoring , vol.11 , pp. 327-347
    • Yuen, K.V.1    Au, S.K.2    Beck, J.L.3
  • 8
    • 38149065122 scopus 로고    scopus 로고
    • Bayesian updating and model class selection using stochastic simulation
    • Muto M, Beck JL,. Bayesian updating and model class selection using stochastic simulation. Journal of Vibration and Control 2008; 14: 7 - 34.
    • (2008) Journal of Vibration and Control , vol.14 , pp. 7-34
    • Muto, M.1    Beck, J.L.2
  • 9
    • 77953785884 scopus 로고    scopus 로고
    • Technical Report EERL 2008-05, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, California
    • Beck JL., Probability logic, information quantification and robust predictive system analysis. Technical Report EERL 2008-05, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, California, 2008.
    • (2008) Probability Logic, Information Quantification and Robust Predictive System Analysis
    • Beck, J.L.1
  • 10
    • 0002282678 scopus 로고
    • Probability, frequency and reasonable expectation
    • Cox RT,. Probability, frequency and reasonable expectation. American Journal of Physics 1946; 14: 1 - 13.
    • (1946) American Journal of Physics , vol.14 , pp. 1-13
    • Cox, R.T.1
  • 14
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes ET,. Information theory and statistical mechanics. Physical Review 1957; 106: 620 - 630.
    • (1957) Physical Review , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 16
    • 0001788189 scopus 로고
    • From Laplace to Supernova SN 1987A: Bayesian inference in astrophysics
    • In, Fougere P.F. (ed.). Kluwer Academic Publishers: Dordrecht, Holland
    • Loredo T., From Laplace to Supernova SN 1987A: Bayesian inference in astrophysics. In Maximum Entropy and Bayesian Methods, Fougere PF, (ed.). Kluwer Academic Publishers: Dordrecht, Holland, 1990; 81 - 142.
    • (1990) Maximum Entropy and Bayesian Methods , pp. 81-142
    • Loredo, T.1
  • 18
    • 56449107906 scopus 로고    scopus 로고
    • Bayesian learning using automatic relevance determination prior with an application to earthquake early warning
    • Oh CK, Beck JL, Yamada M,. Bayesian learning using automatic relevance determination prior with an application to earthquake early warning. Journal of Engineering Mechanics 2008; 134: 1013 - 1020.
    • (2008) Journal of Engineering Mechanics , vol.134 , pp. 1013-1020
    • Oh, C.K.1    Beck, J.L.2    Yamada, M.3
  • 19
    • 0004087397 scopus 로고
    • Technical Report CRG-TR-93-1, Department of Computer Science, University of Toronto, Toronto, Canada
    • Neal RM., Probabilistic inference using Markov Chain Monte Carlo methods. Technical Report CRG-TR-93-1, Department of Computer Science, University of Toronto, Toronto, Canada, 1993.
    • (1993) Probabilistic Inference Using Markov Chain Monte Carlo Methods
    • Neal, R.M.1
  • 21
    • 0036539697 scopus 로고    scopus 로고
    • Bayesian updating of structural models and reliability using Markov Chain Monte Carlo simulation
    • Beck JL, Au SK,. Bayesian updating of structural models and reliability using Markov Chain Monte Carlo simulation. Journal of Engineering Mechanics 2002; 128: 380 - 391.
    • (2002) Journal of Engineering Mechanics , vol.128 , pp. 380-391
    • Beck, J.L.1    Au, S.K.2
  • 22
    • 34347268472 scopus 로고    scopus 로고
    • Transitional Markov Chain Monte Carlo method for Bayesian updating, model class selection, and model averaging
    • Ching J, Chen YC,. Transitional Markov Chain Monte Carlo method for Bayesian updating, model class selection, and model averaging. Journal of Engineering Mechanics 2007; 133: 816 - 832.
    • (2007) Journal of Engineering Mechanics , vol.133 , pp. 816-832
    • Ching, J.1    Chen, Y.C.2
  • 23
    • 33644803177 scopus 로고    scopus 로고
    • Structural model updating and health monitoring with incomplete modal data using Gibbs Sampler
    • Ching J, Muto M, Beck JL,. Structural model updating and health monitoring with incomplete modal data using Gibbs Sampler. Computer-Aided Civil and Infrastructure Engineering 2006; 21: 242 - 257.
    • (2006) Computer-Aided Civil and Infrastructure Engineering , vol.21 , pp. 242-257
    • Ching, J.1    Muto, M.2    Beck, J.L.3
  • 25
    • 63049136546 scopus 로고    scopus 로고
    • Bayesian model updating using Hybrid Monte Carlo simulation with application to structural dynamic models with many uncertain parameters
    • Cheung SH, Beck JL,. Bayesian model updating using Hybrid Monte Carlo simulation with application to structural dynamic models with many uncertain parameters. Journal of Engineering Mechanics 2009; 135: 243 - 255.
    • (2009) Journal of Engineering Mechanics , vol.135 , pp. 243-255
    • Cheung, S.H.1    Beck, J.L.2
  • 26
    • 1342266172 scopus 로고    scopus 로고
    • Model selection using response measurements: A Bayesian probabilistic approach
    • Beck JL, Yuen KV,. Model selection using response measurements: a Bayesian probabilistic approach. Journal of Engineering Mechanics 2004; 130: 192 - 203.
    • (2004) Journal of Engineering Mechanics , vol.130 , pp. 192-203
    • Beck, J.L.1    Yuen, K.V.2
  • 28
    • 77953782995 scopus 로고    scopus 로고
    • Calculation of the posterior probability for Bayesian model class assessment and averaging from posterior samples based on dynamic system data
    • Cheung SH, Beck JL,. Calculation of the posterior probability for Bayesian model class assessment and averaging from posterior samples based on dynamic system data. Computer-Aided Civil and Infrastructure Engineering 2010; 25: 304 - 321.
    • (2010) Computer-Aided Civil and Infrastructure Engineering , vol.25 , pp. 304-321
    • Cheung, S.H.1    Beck, J.L.2
  • 29
    • 0003748256 scopus 로고
    • Ph.D. Thesis in Computation and Neural Systems, California Institute of Technology, Pasadena, California
    • Mackay DJC., Bayesian methods for adaptive models. Ph.D. Thesis in Computation and Neural Systems, California Institute of Technology, Pasadena, California, 1992.
    • (1992) Bayesian Methods for Adaptive Models
    • MacKay, D.J.C.1
  • 32
    • 0002600689 scopus 로고
    • Bayesian inductive inference and maximum entropy
    • Skilling J. (ed.). Kluwer Academic Publishers: Dordrecht, Holland
    • Gull SF., Bayesian inductive inference and maximum entropy. In Maximum Entropy and Bayesian Methods, Skilling J, (ed.). Kluwer Academic Publishers: Dordrecht, Holland, 1989; 53 - 74.
    • (1989) Maximum Entropy and Bayesian Methods , pp. 53-74
    • Gull, S.F.1
  • 33
    • 0003414592 scopus 로고
    • (3rd edn). Oxford University Press: Oxford, U.K
    • Jeffreys H., Theory of Probability (3rd edn). Oxford University Press: Oxford, U.K., 1961.
    • (1961) Theory of Probability
    • Jeffreys, H.1
  • 35
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike H,. A new look at the statistical model identification. IEEE Transactions on Automatic Control 1974; 19: 716 - 723.
    • (1974) IEEE Transactions on Automatic Control , vol.19 , pp. 716-723
    • Akaike, H.1
  • 36
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz G,. Estimating the dimension of a model. The Annals of Statistics 1978; 6: 461 - 464.
    • (1978) The Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 40
    • 33847345140 scopus 로고    scopus 로고
    • Benchmark study on reliability estimation in higher dimensions of structural systems-an overview
    • Schueller GI, Pradlwarter HJ,. Benchmark study on reliability estimation in higher dimensions of structural systems-an overview. Structural Safety 2007; 29: 167 - 182.
    • (2007) Structural Safety , vol.29 , pp. 167-182
    • Schueller, G.I.1    Pradlwarter, H.J.2
  • 41
    • 0035399915 scopus 로고    scopus 로고
    • First excursion probabilities for linear systems by very efficient importance sampling
    • Au SK, Beck JL,. First excursion probabilities for linear systems by very efficient importance sampling. Probabilistic Engineering Mechanics 2001; 16: 193 - 207.
    • (2001) Probabilistic Engineering Mechanics , vol.16 , pp. 193-207
    • Au, S.K.1    Beck, J.L.2
  • 42
    • 49749133705 scopus 로고    scopus 로고
    • An efficient framework for optimal robust stochastic system design using stochastic simulation
    • Taflanidis AA, Beck JL,. An efficient framework for optimal robust stochastic system design using stochastic simulation. Computer Methods in Applied Mechanics and Engineering 2008; 198: 88 - 101.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.198 , pp. 88-101
    • Taflanidis, A.A.1    Beck, J.L.2


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