Emulation of CPU-demanding reactive transport models: a comparison of Gaussian processes, polynomial chaos expansion, and deep neural networks

Computational Geosciences ◽

10.1007/s10596-019-09875-y ◽

2019 ◽

Vol 23 (5) ◽

pp. 1193-1215 ◽

Author(s):

Eric Laloy ◽

Diederik Jacques

Keyword(s):

Neural Networks ◽

Gaussian Processes ◽

Reactive Transport ◽

Deep Neural Networks ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Transport Models

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Uncertainty quantification in three dimensional natural convection using polynomial chaos expansion and deep neural networks

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2019.05.014 ◽

2019 ◽

Vol 139 ◽

pp. 613-631

Author(s):

Shantanu Shahane ◽

Narayana R. Aluru ◽

Surya Pratap Vanka

Keyword(s):

Neural Networks ◽

Natural Convection ◽

Uncertainty Quantification ◽

Deep Neural Networks ◽

Polynomial Chaos ◽

Three Dimensional ◽

Polynomial Chaos Expansion ◽

Chaos Expansion

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Estimation of Ordinary Differential Equations Solutions with Gaussian Processes and Polynomial Chaos Expansion

10.1007/978-3-030-89941-7_1 ◽

2021 ◽

pp. 3-17

Author(s):

Naomi Cedeño ◽

Saba Infante

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Gaussian Processes ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion

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Reactive Transport Parameter Estimation and Global Sensitivity Analysis Using Sparse Polynomial Chaos Expansion

Water Air & Soil Pollution ◽

10.1007/s11270-012-1183-8 ◽

2012 ◽

Vol 223 (7) ◽

pp. 4183-4197 ◽

Author(s):

N. Fajraoui ◽

T. A. Mara ◽

A. Younes ◽

R. Bouhlila

Keyword(s):

Sensitivity Analysis ◽

Parameter Estimation ◽

Reactive Transport ◽

Polynomial Chaos ◽

Global Sensitivity Analysis ◽

Polynomial Chaos Expansion ◽

Transport Parameter ◽

Chaos Expansion ◽

Global Sensitivity ◽

Sparse Polynomial

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Gaussian Processes and Polynomial Chaos Expansion for Regression Problem: Linkage via the RKHS and Comparison via the KL Divergence

Entropy ◽

10.3390/e20030191 ◽

2018 ◽

Vol 20 (3) ◽

pp. 191 ◽

Author(s):

Liang Yan ◽

Xiaojun Duan ◽

Bowen Liu ◽

Jin Xu

Keyword(s):

Gaussian Processes ◽

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Regression Problem ◽

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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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A Data-Driven Sparse Polynomial Chaos Expansion Method to Assess Probabilistic Total Transfer Capability for Power Systems with Renewables

IEEE Transactions on Power Systems ◽

10.1109/tpwrs.2020.3034520 ◽

2020 ◽

pp. 1-1

Author(s):

Xiaoting Wang ◽

Xiaozhe Wang ◽

Hao Sheng ◽

Xi Lin

Keyword(s):

Power Systems ◽

Polynomial Chaos ◽

Expansion Method ◽

Polynomial Chaos Expansion ◽

Data Driven ◽

Chaos Expansion ◽

Total Transfer Capability ◽

Sparse Polynomial ◽

Transfer Capability ◽

Sparse Polynomial Chaos Expansion

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