scholarly journals Approximate Bayesian Computation by Subset Simulation for model selection in dynamical systems

2017 ◽  
Vol 199 ◽  
pp. 1056-1061 ◽  
Author(s):  
Majid K. Vakilzadeh ◽  
James L. Beck ◽  
Thomas Abrahamsson
Keyword(s):  
Dynamical Systems ◽  
Model Selection ◽  
Approximate Bayesian Computation ◽  
Bayesian Computation ◽  
Subset Simulation ◽  
Approximate Bayesian

scholarly journals Probabilistic Updating of Structural Models for Damage Assessment Using Approximate Bayesian Computation

Sensors ◽  
2020 ◽  
Vol 20 (11) ◽  
pp. 3197 ◽  
Author(s):  
Zhouquan Feng ◽  
Yang Lin ◽  
Wenzan Wang ◽  
Xugang Hua ◽  
Zhengqing Chen
Keyword(s):  
Damage Assessment ◽  
Approximate Bayesian Computation ◽  
Model Updating ◽  
Likelihood Function ◽  
Probabilistic Approach ◽  
Model Parameters ◽  
Bayesian Computation ◽  
The Novel ◽  
Subset Simulation ◽  
Approximate Bayesian

A novel probabilistic approach for model updating based on approximate Bayesian computation with subset simulation (ABC-SubSim) is proposed for damage assessment of structures using modal data. The ABC-SubSim is a likelihood-free Bayesian approach in which the explicit expression of likelihood function is avoided and the posterior samples of model parameters are obtained using the technique of subset simulation. The novel contributions of this paper are on three fronts: one is the introduction of some new stopping criteria to find an appropriate tolerance level for the metric used in the ABC-SubSim; the second one is the employment of a hybrid optimization scheme to find finer optimal values for the model parameters; and the last one is the adoption of an iterative approach to determine the optimal weighting factors related to the residuals of modal frequency and mode shape in the metric. The effectiveness of this approach is demonstrated using three illustrative examples.

scholarly journals Approximate Bayesian Computation by Subset Simulation

2014 ◽  
Vol 36 (3) ◽  
pp. A1339-A1358 ◽  
Author(s):  
Manuel Chiachio ◽  
James L. Beck ◽  
Juan Chiachio ◽  
Guillermo Rus
Keyword(s):  
Approximate Bayesian Computation ◽  
Bayesian Computation ◽  
Subset Simulation ◽  
Approximate Bayesian
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