Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112759 ◽

2020 ◽

Vol 360 ◽

pp. 112759 ◽

Author(s):

Mishal Thapa ◽

Sameer B. Mulani ◽

Robert W. Walters

Keyword(s):

Least Squares ◽

Adaptive Sampling ◽

Polynomial Chaos ◽

Weighted Least Squares ◽

Polynomial Chaos Expansion ◽

Chaos Expansion

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Adaboost-based ensemble of polynomial chaos expansion with adaptive sampling

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.114238 ◽

2022 ◽

Vol 388 ◽

pp. 114238

Author(s):

Yicheng Zhou ◽

Zhenzhou Lu ◽

Kai Cheng

Keyword(s):

Adaptive Sampling ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion

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Hierarchical stochastic metamodels based on moving least squares and polynomial chaos expansion

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-010-0608-5 ◽

2010 ◽

Vol 43 (5) ◽

pp. 707-729 ◽

Author(s):

Rajan Filomeno Coelho ◽

Jérémy Lebon ◽

Philippe Bouillard

Keyword(s):

Least Squares ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Moving Least Squares ◽

Chaos Expansion

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Least Squares Approximation-based Polynomial Chaos Expansion for Uncertainty Quantification and Robust Optimization in Aeronautics

AIAA AVIATION 2020 FORUM ◽

10.2514/6.2020-3163 ◽

2020 ◽

Author(s):

Riccardo Mura ◽

Tiziano Ghisu ◽

Shahrokh Shahpar

Keyword(s):

Robust Optimization ◽

Least Squares ◽

Uncertainty Quantification ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Least Squares Approximation

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Least squares polynomial chaos expansion: A review of sampling strategies

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.12.019 ◽

2018 ◽

Vol 332 ◽

pp. 382-407 ◽

Author(s):

Mohammad Hadigol ◽

Alireza Doostan

Keyword(s):

Least Squares ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Sampling Strategies

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An efficient and robust adaptive sampling method for polynomial chaos expansion in sparse Bayesian learning framework

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.04.046 ◽

2019 ◽

Vol 352 ◽

pp. 654-674 ◽

Author(s):

Yicheng Zhou ◽

Zhenzhou Lu ◽

Kai Cheng ◽

Chunyan Ling

Keyword(s):

Adaptive Sampling ◽

Bayesian Learning ◽

Sampling Method ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Sparse Bayesian Learning ◽

Chaos Expansion ◽

Learning Framework ◽

Robust Adaptive

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UNCERTAINTY QUANTIFICATION FOR NATURAL CONVECTION IN RANDOM POROUS MEDIA WITH INTRUSIVE POLYNOMIAL CHAOS EXPANSION

Journal of Porous Media ◽

10.1615/jpormedia.2020033288 ◽

2020 ◽

Vol 23 (7) ◽

pp. 641-661

Author(s):

Changwei Jiang ◽

Yi Jiang ◽

Er Shi

Keyword(s):

Porous Media ◽

Natural Convection ◽

Uncertainty Quantification ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Random Porous Media

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Uncertainty Quantification of Transonic Nozzle Flow by Polynomial Chaos Expansion

JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES ◽

10.2322/jjsass.65.151 ◽

2017 ◽

Vol 65 (4) ◽

pp. 151-156

Author(s):

Koji MIYAJI ◽

Tota UENO ◽

Yasumi KAWAMURA

Keyword(s):

Uncertainty Quantification ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Nozzle Flow ◽

Chaos Expansion

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PARAMETER ESTIMATION OF A DISTRIBUTED HYDROLOGICAL MODEL FOR THE IBO RIVER BASIN WITH POLYNOMIAL CHAOS EXPANSION

Journal of Japan Society of Civil Engineers Ser B1 (Hydraulic Engineering) ◽

10.2208/jscejhe.75.2_i_247 ◽

2019 ◽

Vol 75 (2) ◽

pp. I_247-I_252

Author(s):

Putika Ashfar KHOIRI ◽

Masayasu IRIE ◽

Hiroaki TOI ◽

Masahide ISHIZUKA

Keyword(s):

Parameter Estimation ◽

River Basin ◽

Polynomial Chaos ◽

Hydrological Model ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Distributed Hydrological Model

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Polynomial chaos expansion as a tool to quantify the quality of compact range antenna test chambers under uncertainty

Loughborough Antennas & Propagation Conference 2018 (LAPC 2018) ◽

10.1049/cp.2018.1490 ◽

2018 ◽

Author(s):

R. Wilke ◽

T.M. Gemmer ◽

D. Heberling

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

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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 ◽

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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