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Enhancing model predictability for a scramjet using probabilistic learning on manifolds

Christian Soize , Roger Ghanem , Cosmin Safta , Xun Huan , Zachary P Vane , et al.
AIAA Journal, 2019, 57 (1), pp.365-378. ⟨10.2514/1.J057069⟩
Journal articles hal-02052839v1
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Polynomial chaos representation of a stochastic preconditioner

Christophe Desceliers , R. Ghanem , Christian Soize
International Journal for Numerical Methods in Engineering, 2005, 64 (5), pp.618-634. ⟨10.1002/nme.1382⟩
Journal articles istex hal-00686183v1
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Identification of chaos representations of elastic properties of random media using experimental vibration tests

Christophe Desceliers , Christian Soize , R. Ghanem
Computational Mechanics, 2007, 39 (6), pp.831-838. ⟨10.1007/s00466-006-0072-7⟩
Journal articles hal-00686150v1
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Remarks on stochastic properties of materials through finite deformations

Roger Ghanem , Christian Soize
International Journal for Multiscale Computational Engineering, 2015, 13 (4), pp.367-374. ⟨10.1615/IntJMultCompEng.2015013959⟩
Journal articles hal-01162152v1

Probabilistic Learning on Manifolds (PLoM)

Roger Ghanem , Christian Soize
Machine Learning in Science and Engineering (MISE 2020), Columbia University, Dec 2020, New York, United States
Conference papers hal-03137898v1

Probabilistic machine learning with intrinsic constraints

Roger Ghanem , Christian Soize
SIAM Conference on Mathematics of Data Science (MSD20), May 2020, Cincinnati, Ohio, United States
Conference papers hal-03137946v1
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Maximum likelihood estimation of stochastic chaos representations from experimental data

Christophe Desceliers , R. Ghanem , Christian Soize
International Journal for Numerical Methods in Engineering, 2006, 66 (6), pp.978-1001. ⟨10.1002/nme.1576⟩
Journal articles hal-00686154v1
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Inverse problem for the identification of Chaos representations of random fields using experimental vibrational tests

Christophe Desceliers , Christian Soize , R. Ghanem
International Conference on Noise and Vibration Engineering (ISMA2006), Katholieke Universiteit Leuven, Sep 2006, Leuven, Belgium. pp.4117-4123
Conference papers hal-00686204v1
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A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures

Johann Guilleminot , A. Noshadravan , Christian Soize , R. Ghanem
Computer Methods in Applied Mechanics and Engineering, 2011, 200 (17-20), pp.1637-1648. ⟨10.1016/j.cma.2011.01.016⟩
Journal articles hal-00684305v1
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Identification of Bayesian posteriors for coefficients of chaos expansions

M. Arnst , R. Ghanem , Christian Soize
Journal of Computational Physics, 2010, 229 (9), pp.3134-3154. ⟨10.1016/j.jcp.2009.12.033⟩
Journal articles hal-00684317v1

Probabilistic models and sampling on manifolds

Roger Ghanem , Christian Soize
SIAM UQ, Apr 2018, Garden Grove, United States
Conference papers hal-01810459v1

Stochastic reduced-order model for spent nuclear fuel containers

Olivier Ezvan , Xiaoshu Zeng , Roger Ghanem , Bora Gencturk
EURODYN 2020, XI International Conference on Structural Dynamics, Nov 2020, Athènes (virtual), Greece
Conference papers hal-03245567v1
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Sampling of Bayesian posteriors with a non-Gaussian probabilistic learning on manifolds from a small dataset

Christian Soize , Roger Ghanem , Christophe Desceliers
Statistics and Computing, 2020, 30 (5), pp.1433-1457. ⟨10.1007/s11222-020-09954-6⟩
Journal articles hal-02640469v1

Data-driven probabilistic learning on manifolds

Christian Soize , Roger Ghanem
The 4th conference on Model Reduction of Parametrized Systems (MoRePaS IV), Apr 2018, Nantes, France
Conference papers hal-01810457v1
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Stochastic representation for anisotropic permeability tensor random fields

Johann Guilleminot , Christian Soize , R. Ghanem
International Journal for Numerical and Analytical Methods in Geomechanics, 2012, 36 (13), pp.1592-1608. ⟨10.1002/nag.1081⟩
Journal articles istex hal-00724651v1
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Probabilistic learning on manifolds (PLoM) with partition

Christian Soize , Roger Ghanem
International Journal for Numerical Methods in Engineering, 2022, 123 (1), pp.268-290. ⟨10.1002/nme.6856⟩
Journal articles hal-03381363v1
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Probabilistic learning on manifold for optimization under uncertainties

Christian Soize , Roger Ghanem
(Plenary Lecture), UNCECOMP 2017, 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering and COMPDYN 2017, 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Jun 2017, Rhodes Island, Greece. pp.1-15
Conference papers hal-01541216v1

Machine Learning for Efficient Sampling in UQ

Roger Ghanem , Christian Soize
The 13th World Congress of Computational Mechanics (WCCM 2018) and Second Pan American Congress on Computational Mechanics (PANACM II), Jul 2018, New York, United States
Conference papers hal-01876749v1

Manifold sampling for data-driven UQ and optimization (Keynote lecture presented by R. Ghanem)

Christian Soize , Roger Ghanem
USNCCM 2017, 14th U. S. National Congress on Computational Mechanics, Jul 2017, Montreal, Canada
Conference papers hal-01566425v1

UQ Challenge Benchmarks Overview

J. R. Stewart , R. Ghanem , Christian Soize
SIAM Conference on Uncertainty Quantification, SIAM, Mar 2014, Savannah, Georgia, United States. pp.Pages: 1-1
Conference papers hal-00989658v1

Probabilistic learning on manifolds for prognosis and characterization of the digital twin

Roger Ghanem , Christian Soize , V. Aithataju , L. Mehrez
Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering and Technology (MMLDT-CSET 2021), Sep 2021, San Diego, CA, United States
Conference papers hal-03381365v1

Probabilistic learning for efficient optimization under risk constraints

Roger Ghanem , Christian Soize
2018 SIAM Annual Meeting, SIAM, Jul 2018, Portland, Oregon, United States
Conference papers hal-01876003v1
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Reduced chaos decomposition with random coefficients of vector-valued random variables and random fields

Christian Soize , R. Ghanem
Computer Methods in Applied Mechanics and Engineering, 2009, 98 (21-26), pp.1926-1934. ⟨10.1016/j.cma.2008.12.035⟩
Journal articles hal-00684487v1
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Probabilistic learning on manifolds constrained by nonlinear partial differential equations for small datasets

Christian Soize , Roger Ghanem
Computer Methods in Applied Mechanics and Engineering, 2021, 380, pp.113777. ⟨10.1016/j.cma.2021.113777⟩
Journal articles hal-03179788v1

Data-driven sampling and prediction on manifolds

Roger Ghanem , Christian Soize
USACM 2017, Thematic Workshop on Uncertainty Quantification and Data-Driven Modeling,, USACM, Mar 2017, Austin, Texas, United States
Conference papers hal-01494573v1
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Data-driven probability concentration and sampling on manifold

Christian Soize , Roger Ghanem
Journal of Computational Physics, 2016, 321, pp.242-258. ⟨10.1016/j.jcp.2016.05.044⟩
Journal articles hal-01325279v1
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Updating an uncertain and expensive computational model in structural dynamics based on one single target FRF using a probabilistic learning tool

Olivier Ezvan , Christian Soize , Christophe Desceliers , Roger Ghanem
Computational Mechanics, 2023, 71, pp.1161-1177. ⟨10.1007/s00466-023-02301-2⟩
Journal articles hal-04038485v1
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Hybrid sampling/spectral method for solving stochastic coupled problems

Maarten Arnst , Christian Soize , Roger Ghanem
SIAM/ASA Journal on Uncertainty Quantification, 2013, 1 (1), pp.218-243. ⟨10.1137/120894403⟩
Journal articles hal-00829060v1

A probabilistic learning on manifolds as a new statistical tool in data science with applications in computational mechanics

Christian Soize , Roger Ghanem
International Workshop on Data Science in Civil Engineering, Jun 2019, Shanghai, China
Conference papers hal-02175618v1

Probabilistic machine learning for the small-data challenge in computational science

Christian Soize , Roger Ghanem
2019, pp.3-9
Other publications hal-02052808v1