Nonlinear sparse Bayesian learning for physics-based models
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Dominique Poirel | Chris L. Pettit | Abhijit Sarkar | Rimple Sandhu | Mohammad Khalil | A. Sarkar | M. Khalil | D. Poirel | R. Sandhu | C. Pettit
[1] David Galbally,et al. Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems , 2009 .
[2] N. Wiener. The Homogeneous Chaos , 1938 .
[3] Radford M. Neal. Pattern Recognition and Machine Learning , 2007, Technometrics.
[4] Habib N. Najm,et al. Stochastic spectral methods for efficient Bayesian solution of inverse problems , 2005, J. Comput. Phys..
[5] Probabilistic parameter estimation of a fluttering aeroelastic system in the transitional Reynolds number regime , 2013 .
[6] Tiangang Cui,et al. Data‐driven model reduction for the Bayesian solution of inverse problems , 2014, 1403.4290.
[7] Dongbin Xiu,et al. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations , 2002, SIAM J. Sci. Comput..
[8] A. Gelman,et al. Weak convergence and optimal scaling of random walk Metropolis algorithms , 1997 .
[9] J. Ching,et al. Transitional Markov Chain Monte Carlo Method for Bayesian Model Updating, Model Class Selection, and Model Averaging , 2007 .
[10] Aggelos K. Katsaggelos,et al. Bayesian Compressive Sensing Using Laplace Priors , 2010, IEEE Transactions on Image Processing.
[11] Dominique Poirel,et al. Bayesian model selection using automatic relevance determination for nonlinear dynamical systems , 2017 .
[12] Bruno Sudret,et al. Global sensitivity analysis using polynomial chaos expansions , 2008, Reliab. Eng. Syst. Saf..
[13] Dominique Poirel,et al. Bayesian inference of nonlinear unsteady aerodynamics from aeroelastic limit cycle oscillations , 2016, J. Comput. Phys..
[14] A. O'Hagan,et al. Bayesian calibration of computer models , 2001 .
[15] J. Beck,et al. Updating Models and Their Uncertainties. I: Bayesian Statistical Framework , 1998 .
[16] M. Aitkin,et al. Bayes factors: Prior sensitivity and model generalizability , 2008 .
[17] George Eastman House,et al. Sparse Bayesian Learning and the Relevance Vector Machine , 2001 .
[18] Sai Hung Cheung,et al. Calculation of Posterior Probabilities for Bayesian Model Class Assessment and Averaging from Posterior Samples Based on Dynamic System Data , 2010, Comput. Aided Civ. Infrastructure Eng..
[19] Habib N. Najm,et al. Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems , 2008, J. Comput. Phys..
[20] Michael E. Tipping,et al. Fast Marginal Likelihood Maximisation for Sparse Bayesian Models , 2003 .
[21] J. Beck,et al. Model Selection using Response Measurements: Bayesian Probabilistic Approach , 2004 .
[22] Sondipon Adhikari,et al. Tracking noisy limit cycle oscillation with nonlinear filters , 2010 .
[23] J. Beck. Bayesian system identification based on probability logic , 2010 .
[24] Michael E. Tipping,et al. Analysis of Sparse Bayesian Learning , 2001, NIPS.
[25] C. Pettit,et al. Variational inference of cluster-weighted models for local and global sensitivity analysis , 2015 .