A new surrogate modeling method combining polynomial chaos expansion and Gaussian kernel in a sparse Bayesian learning framework

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6145 ◽

2019 ◽

Vol 120 (4) ◽

pp. 498-516 ◽

Author(s):

Yicheng Zhou ◽

Zhenzhou Lu ◽

Kai Cheng

Keyword(s):

Bayesian Learning ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Polynomial Chaos Expansion ◽

Modeling Method ◽

Gaussian Kernel ◽

Sparse Bayesian Learning ◽

Chaos Expansion ◽

Learning Framework

Download Full-text

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

Download Full-text

An expanded sparse Bayesian learning method for polynomial chaos expansion

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2019.03.032 ◽

2019 ◽

Vol 128 ◽

pp. 153-171 ◽

Author(s):

Yicheng Zhou ◽

Zhenzhou Lu ◽

Kai Cheng ◽

Yan Shi

Keyword(s):

Bayesian Learning ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Sparse Bayesian Learning ◽

Chaos Expansion ◽

Learning Method

Download Full-text

Sparse Bayesian learning for data driven polynomial chaos expansion with application to chemical processes

Chemical Engineering Research and Design ◽

10.1016/j.cherd.2018.08.006 ◽

2018 ◽

Vol 137 ◽

pp. 553-565 ◽

Author(s):

Pham Luu Trung Duong ◽

Le Quang Minh ◽

Muhammad Abdul Qyyum ◽

Moonyong Lee

Keyword(s):

Bayesian Learning ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chemical Processes ◽

Data Driven ◽

Sparse Bayesian Learning ◽

Chaos Expansion

Download Full-text

A New Surrogate Modeling Method Associating Generalized Polynomial Chaos Expansion and Kriging for Mechanical Systems Subjected to Friction-Induced Vibration

Special Topics in Structural Dynamics, Volume 6 - Conference Proceedings of the Society for Experimental Mechanics Series ◽

10.1007/978-3-319-53841-9_2 ◽

2017 ◽

pp. 17-23

Author(s):

E. Denimal ◽

L. Nechak ◽

J.-J. Sinou ◽

S. Nacivet

Keyword(s):

Polynomial Chaos ◽

Mechanical Systems ◽

Surrogate Modeling ◽

Polynomial Chaos Expansion ◽

Modeling Method ◽

Chaos Expansion ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial ◽

Friction Induced Vibration

Download Full-text

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

Download Full-text

All-at-once approach to multifidelity polynomial chaos expansion surrogate modeling

Aerospace Science and Technology ◽

10.1016/j.ast.2017.07.043 ◽

2017 ◽

Vol 70 ◽

pp. 121-136 ◽

Author(s):

Dean E. Bryson ◽

Markus P. Rumpfkeil

Keyword(s):

Polynomial Chaos ◽

Surrogate Modeling ◽

Polynomial Chaos Expansion ◽

Chaos Expansion

Download Full-text

Adaptive spherical Gaussian kernel in sparse Bayesian learning framework for nonlinear regression

Expert Systems with Applications ◽

10.1016/j.eswa.2008.02.055 ◽

2009 ◽

Vol 36 (2) ◽

pp. 3982-3989 ◽

Author(s):

Jin Yuan ◽

Liefeng Bo ◽

Kesheng Wang ◽

Tao Yu

Keyword(s):

Nonlinear Regression ◽

Bayesian Learning ◽

Gaussian Kernel ◽

Sparse Bayesian Learning ◽

Learning Framework

Download Full-text

SURROGATE MODELING OF INDOOR DOWN-LINK HUMAN EXPOSURE BASED ON SPARSE POLYNOMIAL CHAOS EXPANSION

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2020031452 ◽

2020 ◽

Vol 10 (2) ◽

pp. 145-163

Author(s):

Zicheng Liu ◽

Dominique Lesselier ◽

Bruno Sudret ◽

Joe Wiart

Keyword(s):

Human Exposure ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion

Download Full-text

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

Download Full-text

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

Download Full-text