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R. Tipireddy and R. Ghanem, Basis adaptation in homogeneous chaos spaces, Journal of Computational Physics, vol.259, pp.304-317, 2014.
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C. Soize, Polynomial Chaos Expansion of a Multimodal Random Vector, SIAM/ASA Journal on Uncertainty Quantification, vol.3, issue.1, pp.34-60, 2015.
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C. Desceliers, R. Ghanem, and C. Soize, Maximum likelihood estimation of stochastic chaos representations from experimental data, International Journal for Numerical Methods in Engineering, vol.11, issue.6, pp.978-1001, 2006.
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C. Desceliers, C. Soize, and R. Ghanem, Identification of Chaos Representations of Elastic Properties of Random Media Using Experimental Vibration Tests, Computational Mechanics, vol.60, issue.5, pp.831-838, 2007.
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J. Guilleminot, C. Soize, D. Kondo, and C. Binetruy, Theoretical framework and experimental procedure for modelling mesoscopic volume fraction stochastic fluctuations in fiber reinforced composites, International Journal of Solids and Structures, vol.45, issue.21, pp.45-5567, 2008.
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J. Guilleminot, C. Soize, and D. Kondo, Mesoscale probabilistic models for the elasticity tensor of fiber reinforced composites: Experimental identification and numerical aspects, Mechanics of Materials, vol.41, issue.12, pp.41-1309, 2009.
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S. Das, R. Ghanem, and S. Finette, Polynomial chaos representation of spatio-temporal random fields from experimental measurements, Journal of Computational Physics, vol.228, issue.23, pp.8726-8751, 2009.
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S. Das, R. Ghanem, and J. C. Spall, Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach, SIAM Journal on Scientific Computing, vol.30, issue.5, pp.2207-2234, 2008.
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R. Ghanem, R. Doostan, and J. , Red-Horse, A probability construction of model validation, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.29-32, 2008.

C. Soize, Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.33-36, 2010.
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M. Arnst, R. Ghanem, and C. Soize, Identification of Bayesian posteriors for coefficients of chaos expansions, Journal of Computational Physics, vol.229, issue.9, pp.3134-3154, 2010.
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C. Soize, A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.45-46, pp.45-46, 2011.
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A. Nouy and C. Soize, Random field representations for stochastic elliptic boundary value problems and statistical inverse problems, European Journal of Applied Mathematics, vol.19, issue.03, pp.339-373, 2014.
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C. Soize, Random Vectors and Random Fields in High Dimension: Parametric Model-Based Representation, Identification from Data, and Inverse Problems, Handbook of Uncertainty Quantification, pp.1-65
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C. Soize, Random Matrix Models and Nonparametric Method for Uncertainty Quantification, Handbook of Uncertainty Quantification, pp.1-84
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G. Perrin, C. Soize, D. Duhamel, and C. Funfschilling, Karhunen???Lo??ve expansion revisited for vector-valued random fields: Scaling, errors and optimal basis., Journal of Computational Physics, vol.242, issue.1, pp.607-622, 2013.
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G. Perrin, C. Soize, D. Duhamel, and C. Funfschilling, A Posteriori Error and Optimal Reduced Basis for Stochastic Processes Defined by a Finite Set of Realizations, SIAM/ASA Journal on Uncertainty Quantification, vol.2, issue.1, pp.745-762, 2014.
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C. Soize, Random-field model for the elasticity tensor of anisotropic random media, Comptes Rendus M??canique, vol.332, issue.12, pp.1007-1012, 2004.
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C. Soize, Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.1-3, pp.26-64, 2006.
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C. Soize, Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices, International Journal for Numerical Methods in Engineering, vol.195, issue.4, pp.1583-1611, 2008.
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J. Guilleminot, A. Noshadravan, C. Soize, and R. Ghanem, A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.17-20, pp.1637-1648, 2011.
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J. Guilleminot and C. Soize, Non-Gaussian positive-definite matrix-valued random fields with constrained eigenvalues: Application to random elasticity tensors with uncertain material symmetries, International Journal for Numerical Methods in Engineering, vol.31, issue.3, pp.1128-1151, 2011.
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J. Guilleminot and C. Soize, Probabilistic modeling of apparent tensors in elastostatics: A MaxEnt approach under material symmetry and stochastic boundedness constraints, Probabilistic Engineering Mechanics, vol.28, pp.118-124, 2012.
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J. Guilleminot, C. Soize-;-r, and . Ghanem, Stochastic representation for anisotropic permeability tensor random fields, International Journal for Numerical and Analytical Methods in Geomechanics, vol.66, issue.13, pp.1592-1608, 2012.
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J. Guilleminot and C. Soize, Generalized stochastic approach for constitutive equation in linear elasticity: a random matrix model, International Journal for Numerical Methods in Engineering, vol.94, issue.108, pp.613-635, 2012.
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J. Guilleminot and C. Soize, Stochastic Model and Generator for Random Fields with Symmetry Properties: Application to the Mesoscopic Modeling of Elastic Random Media, Multiscale Modeling & Simulation, vol.11, issue.3, pp.840-870, 2013.
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J. Guilleminot, T. T. Le, and C. Soize, Stochastic framework for modeling the linear apparent behavior of complex materials: Application to random porous materials with interphases, Acta Mechanica Sinica, vol.340, issue.6
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J. Guilleminot and C. Soize, It?? SDE--based Generator for a Class of Non-Gaussian Vector-valued Random Fields in Uncertainty Quantification, SIAM Journal on Scientific Computing, vol.36, issue.6, pp.2763-2786, 2014.
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G. Perrin, C. Soize, D. Duhamel, and C. Funfschilling, Track irregularities stochastic modeling, Probabilistic Engineering Mechanics, vol.34, pp.123-130, 2013.
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T. T. Le, J. Guilleminot, and C. Soize, Stochastic continuum modeling of random interphases from atomistic simulations. Application to a polymer nanocomposite, Computer Methods in Applied Mechanics and Engineering, vol.303
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M. T. Nguyen, Identification multi-´ echelle du champ délasticité apparent stochastique de microstructures hétérogènes, 2013.

M. T. Nguyen, J. M. Allain, H. Gharbi, C. Desceliers, and C. Soize, Experimental measurements for identification of the elasticity field at mesoscale of a heterogeneous microstructure by multiscale digital image correlation

M. T. Nguyen, C. Desceliers, C. Soize, J. M. Allain, and H. Gharbi, MULTISCALE IDENTIFICATION OF THE RANDOM ELASTICITY FIELD AT MESOSCALE OF A HETEROGENEOUS MICROSTRUCTURE USING MULTISCALE EXPERIMENTAL OBSERVATIONS, International Journal for Multiscale Computational Engineering, vol.13, issue.4, 2014.
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G. Perrin, Random fields and associated statistical inverse problems for uncertainty quantification Application to railway track geometries for high-speed trains dynamical responses and risk assessment, 2013.
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