A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry

Journal of Computational Physics ◽

10.1016/j.jcp.2015.01.034 ◽

2015 ◽

Vol 286 ◽

pp. 103-117 ◽

Cited By ~ 105

Author(s):

Pierric Kersaudy ◽

Bruno Sudret ◽

Nadège Varsier ◽

Odile Picon ◽

Joe Wiart

Keyword(s):

Uncertainty Analysis ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Modeling Technique ◽

Polynomial Chaos Expansions

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SURROGATE MODELING FOR STOCHASTIC DYNAMICAL SYSTEMS BY COMBINING NONLINEAR AUTOREGRESSIVE WITH EXOGENOUS INPUT MODELS AND POLYNOMIAL CHAOS EXPANSIONS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016603 ◽

2016 ◽

Vol 6 (4) ◽

pp. 313-339 ◽

Cited By ~ 20

Author(s):

Chu V. Mai ◽

Minas D. Spiridonakos ◽

Eleni N. Chatzi ◽

Bruno Sudret

Keyword(s):

Dynamical Systems ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Stochastic Dynamical Systems ◽

Polynomial Chaos Expansions ◽

Nonlinear Autoregressive

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Distributional uncertainty analysis using polynomial chaos expansions

2010 IEEE International Symposium on Computer-Aided Control System Design ◽

10.1109/cacsd.2010.5612662 ◽

2010 ◽

Cited By ~ 7

Author(s):

Zoltan K. Nagy ◽

Richard D. Braatz

Keyword(s):

Uncertainty Analysis ◽

Polynomial Chaos ◽

Polynomial Chaos Expansions

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Surrogate modeling based on resampled polynomial chaos expansions

Reliability Engineering & System Safety ◽

10.1016/j.ress.2020.107008 ◽

2020 ◽

Vol 202 ◽

pp. 107008 ◽

Cited By ~ 2

Author(s):

Zicheng Liu ◽

Dominique Lesselier ◽

Bruno Sudret ◽

Joe Wiart

Keyword(s):

Polynomial Chaos ◽

Surrogate Modeling ◽

Polynomial Chaos Expansions

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Distributional uncertainty analysis using power series and polynomial chaos expansions

Journal of Process Control ◽

10.1016/j.jprocont.2006.10.008 ◽

2007 ◽

Vol 17 (3) ◽

pp. 229-240 ◽

Cited By ~ 133

Author(s):

Z.K. Nagy ◽

R.D. Braatz

Keyword(s):

Power Series ◽

Uncertainty Analysis ◽

Polynomial Chaos ◽

Polynomial Chaos Expansions

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Fast Stochastic Surrogate Modeling via Rational Polynomial Chaos Expansions and Principal Component Analysis

IEEE Access ◽

10.1109/access.2021.3097543 ◽

2021 ◽

Vol 9 ◽

pp. 102732-102745

Author(s):

Paolo Manfredi ◽

Stefano Grivet-Talocia

Keyword(s):

Principal Component Analysis ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Principal Component ◽

Component Analysis ◽

Rational Polynomial ◽

Polynomial Chaos Expansions

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Development of a Sparse Polynomial Chaos Expansions Method for Parameter Uncertainty Analysis

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/435/1/012011 ◽

2020 ◽

Vol 435 ◽

pp. 012011

Author(s):

C X Wang ◽

J Liu ◽

Y P Li ◽

J Zhao ◽

X M Kong

Keyword(s):

Uncertainty Analysis ◽

Parameter Uncertainty ◽

Polynomial Chaos ◽

Sparse Polynomial ◽

Polynomial Chaos Expansions ◽

Parameter Uncertainty Analysis

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DISTRIBUTIONAL UNCERTAINTY ANALYSIS OF A BATCH CRYSTALLIZATION PROCESS USING POWER SERIES AND POLYNOMIAL CHAOS EXPANSIONS

IFAC Proceedings Volumes ◽

10.3182/20060402-4-br-2902.00655 ◽

2006 ◽

Vol 39 (2) ◽

pp. 655-660 ◽

Cited By ~ 1

Author(s):

Z.K. Nagy ◽

R.D. Braatz

Keyword(s):

Power Series ◽

Uncertainty Analysis ◽

Crystallization Process ◽

Polynomial Chaos ◽

Batch Crystallization ◽

Polynomial Chaos Expansions

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Surrogate modeling of high-dimensional problems via data-driven polynomial chaos expansions and sparse partial least square

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.112906 ◽

2020 ◽

Vol 364 ◽

pp. 112906

Author(s):

Yicheng Zhou ◽

Zhenzhou Lu ◽

Jinghan Hu ◽

Yingshi Hu

Keyword(s):

Polynomial Chaos ◽

Surrogate Modeling ◽

Partial Least Square ◽

Least Square ◽

Data Driven ◽

High Dimensional ◽

Polynomial Chaos Expansions

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Polynomial Chaos Expansion (PCE) Based Surrogate Modeling and Optimization for Batch Crystallization Processes

Computer Aided Chemical Engineering - 24th European Symposium on Computer Aided Process Engineering ◽

10.1016/b978-0-444-63456-6.50095-8 ◽

2014 ◽

pp. 565-570 ◽

Cited By ~ 2

Author(s):

Nahid Sanzida ◽

Zoltan K. Nagy

Keyword(s):

Polynomial Chaos ◽

Surrogate Modeling ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Batch Crystallization ◽

Modeling And Optimization

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Extending bluff-and-fix estimates for polynomial chaos expansions

Journal of Computational Science ◽

10.1016/j.jocs.2020.101287 ◽

2021 ◽

pp. 101287

Author(s):

Laura Lyman ◽

Gianluca Iaccarino

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansions

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