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Table of Contents:
COMPUTATION OF SOBOL INDICES IN GLOBAL SENSITIVITY ANALYSIS FROM SMALL DATA SETS BY PROBABILISTIC LEARNING ON MANIFOLDS
Maarten Arnst, Christian Soize, Kevin Bulthuis
Maarten Arnst
University de Liege, Departement d'Aerospatiale et Mecanique, B-4000 Liege, Belgium
Christian Soize
Modélisation et Simulation Multi-Echelle, Université Paris-Est Marne-la-Vallée, MSME
UMR 8208 CNRS, Marne-la-Vallée, France
Kevin Bulthuis
Aérospatiale et Mécanique, Université de Liège, Liège, Belgium
1-23 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2020032674
STOCHASTIC SPECTRAL EMBEDDING
Stefano Marelli, P.-R. Wagner, Christos Lataniotis, Bruno Sudret
Stefano Marelli
Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5,
8093 Zurich, Switzerland
P.-R. Wagner
Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Switzerland
Christos Lataniotis
Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5,
8093 Zurich, Switzerland
Bruno Sudret
Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5,
8093 Zurich, Switzerland
25-47 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2020034395
PARAMETER ESTIMATION OF STOCHASTIC CHAOTIC SYSTEMS
Ramona Maraia, Sebastian Springer, Heikki Haario, Janne Hakkarainen, Eero Saksman
Ramona Maraia
Department of Computational Engineering, Lappeenranta University of Technology,
Lappeenranta, 53850, Finland
Sebastian Springer
Department of Computational Engineering, Lappeenranta University of Technology,
Lappeenranta, 53850, Finland
Heikki Haario
Department of Computational Engineering, Lappeenranta University of Technology,
Lappeenranta, 53850, Finland; Earth Observation Research, Finnish Meteorological Institute, Helsinki, 00560, Finland
Janne Hakkarainen
Earth Observation Research, Finnish Meteorological Institute, Helsinki, 00560, Finland
Eero Saksman
Department of Mathematics and Statistics, University of Helsinki, 00560, Finland
49-62 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2020032807
DEEP LEARNING OF PARAMETERIZED EQUATIONS WITH APPLICATIONS TO UNCERTAINTY QUANTIFICATION
Tong Qin, Zhen Chen, John D. Jakeman, Dongbin Xiu
Tong Qin
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, USA
Zhen Chen
Department of Mathematics, The Ohio State University, Columbus, Ohio 43210, USA
John D. Jakeman
Optimization and Uncertainty Quantification, Center for Computing Research, Sandia National Laboratories, Albuquerque,
New Mexico 87123, USA
Dongbin Xiu
Ohio Eminent Scholar Department of Mathematics The Ohio State University Columbus, Ohio 43210, USA
63-82 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2020034123
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