Uncertainty quantification and reliability analysis by an adaptive sparse Bayesian inference based PCE model

Subset simulation method including fitness-based seed selection for reliability analysis

(2020) Azam Abdollahi et al.   ENGINEERING WITH COMPUTERS

An adaptive failure boundary approximation method for reliability analysis and its applications

(2020) Kunling Song et al.   ENGINEERING WITH COMPUTERS

A Kriging–NARX Model for Uncertainty Quantification of Nonlinear Stochastic Dynamical Systems in Time Domain

(2020) Biswarup Bhattacharyya et al.   JOURNAL OF ENGINEERING MECHANICS

Global sensitivity analysis using orthogonal augmented radial basis function

(2019) Zeping Wu et al.   RELIABILITY ENGINEERING & SYSTEM SAFETY

Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression

(2019) Kai Cheng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

New collocation method for stochastic response surface reliability analyses

(2019) Peng Zeng et al.   ENGINEERING WITH COMPUTERS

An efficient adaptive forward–backward selection method for sparse polynomial chaos expansion

(2019) Huan Zhao et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Random dynamical system in time domain: A POD-PC model

(2019) E. Jacquelin et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

An efficient multifidelity ℓ1-minimization method for sparse polynomial chaos

(2018) Saeed Salehi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression

(2018) Kai Cheng et al.   COMPUTERS & STRUCTURES

Sparse Bayesian Nonlinear System Identification using Variational Inference

(2018) William R. Jacobs et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

A gradient enhanced ℓ 1 -minimization for sparse approximation of polynomial chaos expansions

(2018) Ling Guo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Spectral representation of stochastic field data using sparse polynomial chaos expansions

(2018) Simon Abraham et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A cubature collocation based sparse polynomial chaos expansion for efficient structural reliability analysis

(2018) Jun Xu et al.   STRUCTURAL SAFETY

A sequential surrogate method for reliability analysis based on radial basis function

(2018) Xu Li et al.   STRUCTURAL SAFETY

An innovative adaptive sparse response surface method for structural reliability analysis

(2018) Hugo Guimarães et al.   STRUCTURAL SAFETY

Compressive Sensing with Cross-Validation and Stop-Sampling for Sparse Polynomial Chaos Expansions

(2018) Xun Huan et al.   SIAM-ASA Journal on Uncertainty Quantification

Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification

(2018) Rohit K. Tripathy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An adaptive sampling method for global sensitivity analysis based on least-squares support vector regression

(2018) M. Steiner et al.   RELIABILITY ENGINEERING & SYSTEM SAFETY

REAK: Reliability analysis through Error rate-based Adaptive Kriging

(2018) Zeyu Wang et al.   RELIABILITY ENGINEERING & SYSTEM SAFETY

Efficient structural reliability analysis method based on advanced Kriging model

(2015) Leigang Zhang et al.   APPLIED MATHEMATICAL MODELLING

Enhancing ℓ 1 -minimization estimates of polynomial chaos expansions using basis selection

(2015) J.D. Jakeman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Assessment of the efficiency of Kriging surrogate models for structural reliability analysis

(2014) B. Gaspar et al.   PROBABILISTIC ENGINEERING MECHANICS

Assessing small failure probabilities by combined subset simulation and Support Vector Machines

(2011) J.-M. Bourinet et al.   STRUCTURAL SAFETY

AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation

(2011) B. Echard et al.   STRUCTURAL SAFETY

Adaptive sparse polynomial chaos expansion based on least angle regression

(2010) Géraud Blatman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

D-MORPH regression: application to modeling with unknown parameters more than observation data

(2010) Genyuan Li et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach

(2008) Géraud Blatman et al.   COMPTES RENDUS MECANIQUE

High-order limit state functions in the response surface method for structural reliability analysis

(2007) Henri P. Gavin et al.   STRUCTURAL SAFETY