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A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws
Clément Cardoen
,
Swann Marx
,
Anthony Nouy
,
Nicolas Seguin
Journal articles
hal-04218591v3
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Moment-SoS Methods for Optimal Transport Problems
Olga Mula
,
Anthony Nouy
Journal articles
hal-03919946v1
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Dictionary-based model reduction for state estimation
Anthony Nouy
,
Alexandre Pasco
Journal articles
hal-04069442v1
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Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions
Mazen Ali
,
Anthony Nouy
Journal articles
hal-04385174v1
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Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions
Markus Bachmayr
,
Anthony Nouy
,
Reinhold Schneider
Journal articles
hal-04385142v1
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Geometry of tree-based tensor formats in tensor Banach spaces
Antonio Falcó
,
Wolfgang Hackbusch
,
Anthony Nouy
Journal articles
hal-03919920v2
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Active learning of tree tensor networks using optimal least-squares
Cécile Haberstich
,
Anthony Nouy
,
Guillaume Perrin
Journal articles
hal-03919916v1
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A PAC algorithm in relative precision for bandit problem with costly sampling
Marie Billaud-Friess
,
Arthur Macherey
,
Anthony Nouy
,
Clémentine Prieur
Journal articles
hal-03139679v1
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Boosted optimal weighted least-squares
Cécile Haberstich
,
Anthony Nouy
,
Guillaume Perrin
Journal articles
hal-02562188v1
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Tensor-based numerical method for stochastic homogenisation
Quentin Ayoul-Guilmard
,
Anthony Nouy
,
Christophe Binetruy
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2022, 20 (1), pp.36-71. ⟨10.1137/18M1191221⟩
Journal articles
hal-01899835v1
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LEARNING HIGH-DIMENSIONAL PROBABILITY DISTRIBUTIONS USING TREE TENSOR NETWORKS
Erwan Grelier
,
Anthony Nouy
,
Regis Lebrun
Journal articles
hal-03919932v1
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Learning with tree tensor networks: complexity estimates and model selection
Bertrand Michel
,
Anthony Nouy
Journal articles
hal-02889655v1
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A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds
Marie Billaud Friess
,
Antonio Falco
,
Anthony Nouy
Journal articles
hal-02458048v1
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Principal bundle structure of matrix manifolds
Marie Billaud-Friess
,
Antonio Falco
,
Anthony Nouy
Journal articles
hal-01521748v1
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Randomized linear algebra for model reduction. Part II: minimal residual methods and dictionary-based approximation
Oleg Balabanov
,
Anthony Nouy
Journal articles
hal-02562161v1
|
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Approximation of Smoothness Classes by Deep Rectifier Networks
Mazen Ali
,
Anthony Nouy
Journal articles
hal-02909881v1
|
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Singular Value Decomposition in Sobolev Spaces: Part II
Mazen Ali
,
Anthony Nouy
Zeitschrift für Analysis und ihre Anwendungen, 2020, 39 (4), pp.371-394. ⟨10.4171/ZAA/1664⟩
Journal articles
hal-02562141v1
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Singular Value Decomposition in Sobolev Spaces: Part I
Mazen Ali
,
Anthony Nouy
Journal articles
hal-01899833v1
|
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Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats
Anthony Nouy
Journal articles
hal-01521759v1
|
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On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces
A. Falcó
,
W. Hackbusch
,
Anthony Nouy
Journal articles
hal-01457079v1
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Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods
Thomas Boiveau
,
Virginie Ehrlacher
,
Alexandre Ern
,
Anthony Nouy
Journal articles
hal-01668316v2
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Weakly intrusive low-rank approximation method for nonlinear parameter-dependent equations
Loïc Giraldi
,
Anthony Nouy
Journal articles
hal-01899838v1
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Randomized linear algebra for model reduction. Part I: Galerkin methods and error estimation
Oleg Balabanov
,
Anthony Nouy
Journal articles
hal-01899836v1
|
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Tree-based tensor formats
Antonio Falcó
,
Wolfgang Hackbusch
,
Anthony Nouy
Journal articles
hal-01899830v1
|
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A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities
Anthony Nouy
,
Florent Pled
Journal articles
hal-01507489v2
|
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Dynamical model reduction method for solving parameter-dependent dynamical systems
Marie Billaud-Friess
,
Anthony Nouy
Journal articles
hal-01387231v1
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Projection based model order reduction methods for the estimation of vector-valued variables of interest
Olivier Zahm
,
Marie Billaud-Friess
,
Anthony Nouy
Journal articles
hal-01387236v1
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Interpolation of inverse operators for preconditioning parameter-dependent equations
Olivier Zahm
,
Anthony Nouy
Journal articles
hal-01262424v1
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A least-squares method for sparse low rank approximation of multivariate functions
Mathilde Chevreuil
,
Régis Lebrun
,
Anthony Nouy
,
Prashant Rai
Journal articles
hal-00861913v1
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To Be or Not to be Intrusive? The Solution of Parametric and Stochastic Equations---Proper Generalized Decomposition
Loïc Giraldi
,
Dishi Liu
,
Hermann G. Matthies
,
Anthony Nouy
Journal articles
hal-01899842v1
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Model reduction based on Proper Generalized Decomposition for the Stochastic steady incompressible Navier-Stokes equations
Lorenzo Tamellini
,
Olivier Le Maitre
,
Anthony Nouy
Journal articles
hal-00733733v1
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A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
Marie Billaud-Friess
,
Anthony Nouy
,
Olivier Zahm
Journal articles
hal-00861914v1
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Low-rank approximate inverse for preconditioning tensor-structured linear systems
Loïc Giraldi
,
Anthony Nouy
,
Grégory Legrain
Journal articles
hal-01007458v1
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Random fields representations for stochastic elliptic boundary value problems and statistical inverse problems
Anthony Nouy
,
Christian Soize
Journal articles
hal-00945639v1
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To Be or Not to Be Intrusive? The Solution of Parametric and Stochastic Equations---the “Plain Vanilla” Galerkin Case
Loïc Giraldi
,
Alexander Litvinenko
,
Dishi Liu
,
Hermann G. Matthies
,
Anthony Nouy
Journal articles
hal-01899841v1
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Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models - Application to transient elastodynamics in space-time domain
Lucas Boucinha
,
Amine Ammar
,
Anthony Gravouil
,
Anthony Nouy
Journal articles
hal-00952496v1
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Tensor-based methods for numerical homogenization from high-resolution images
Loïc Giraldi
,
Anthony Nouy
,
Grégory Legrain
,
Patrice Cartraud
Journal articles
hal-00762845v1
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A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties
Mathilde Chevreuil
,
Anthony Nouy
,
Elias Safatly
Journal articles
hal-00733739v1
|
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Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces
Antonio Falco
,
Anthony Nouy
Journal articles
hal-00609108v1
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Model Order Reduction based on Proper Generalized Decomposition for the Propagation of Uncertainties in Structural Dynamics
Mathilde Chevreuil
,
Anthony Nouy
International Journal for Numerical Methods in Engineering, 2012, 89, pp.241--268. ⟨10.1002/nme.3249⟩
Journal articles
hal-00603342v1
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A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach
Antonio Falco
,
Anthony Nouy
Journal of Mathematical Analysis and Applications, 2011, 376 (2), pp.469-480
Journal articles
hal-00461094v2
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Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains
Anthony Nouy
,
Mathilde Chevreuil
,
Elias Safatly
Journal articles
hal-00662564v1
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A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations
Anthony Nouy
Journal articles
hal-00455635v1
|
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Identification of multi-modal random variables through mixtures of polynomial chaos expansions
Anthony Nouy
Journal articles
hal-00521932v1
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eXtended Stochastic Finite Element Method for the numerical simulation of heterogenous materials with random material interfaces
Anthony Nouy
,
Alexandre Clément
International Journal for Numerical Methods in Engineering, 2010, 83 (10), pp.1312-1344. ⟨10.1002/nme.2865⟩
Journal articles
hal-00455646v1
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Proper Generalized Decompositions and separated representations for the numerical solution of high dimensional stochastic problems
Anthony Nouy
Journal articles
hal-00461099v1
|
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Generalized Spectral Decomposition for Stochastic Non Linear Problems
Anthony Nouy
,
Olivier Le Maitre
Journal articles
hal-00366630v1
|
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Assessment of ROC curves for inspection of random fields
Franck Schoefs
,
Alexandre Clément
,
Anthony Nouy
Journal articles
hal-01005279v1
|
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On a Computational Strategy with Time-Space Homogenization for Heterogeneous Materials
Anthony Nouy
,
Pierre Ladevèze
Journal articles
hal-02163502v1
|
|
Identification of random shapes from images through polynomial chaos expansion of random level-set functions
Ioannis Stefanou
,
Anthony Nouy
,
Alexandre Clément
International Journal for Numerical Methods in Engineering, 2009, 79 (2), pp.127-155. ⟨10.1002/nme.2546⟩
Journal articles
hal-00366640v1
|
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Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
Anthony Nouy
Archives of Computational Methods in Engineering, 2009, 16 (3), pp.251-285
Journal articles
hal-00366636v1
|
|
An eXtended Stochastic Finite Element Method for solving stochastic partial differential equations on random domains
Anthony Nouy
,
Alexandre Clément
,
Franck Schoefs
,
Nicolas Moes
Journal articles
hal-00366617v1
|
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Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms
Anthony Nouy
Journal articles
hal-00366613v1
|
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X-SFEM, a computational technique based on X-FEM to deal with random shapes
Anthony Nouy
,
Franck Schoefs
,
Nicolas Moes
Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2007, 16 (2), pp.277-293. ⟨10.3166/remn.16.277-293⟩
Journal articles
hal-00368060v1
|
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A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
Anthony Nouy
Journal articles
hal-00366619v2
|
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Méthode de construction de bases spectrales généralisées pour l'approximation de problèmes stochastiques
Anthony Nouy
Journal articles
hal-01007031v1
|
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Extreme storm loading on in-service wharf structures
Humberto Yáñez-Godoy
,
Franck Schoefs
,
Anthony Nouy
,
Pascal Casari
Journal articles
hal-01006890v1
|
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Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems
Anthony Nouy
,
Pierre Ladevèze
Journal articles
hal-00368058v1
|
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On a Multiscale Computational Strategy with Time and Space Homogenization for Structural Mechanics
Pierre Ladevèze
,
Anthony Nouy
Journal articles
hal-00366648v1
|
|
A Multiscale Computational Approach for Contact Problems
Pierre Ladevèze
,
Anthony Nouy
,
O. Loiseau
Journal articles
hal-00366657v1
|
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A multiscale computational method with time and space homogenization
Pierre Ladevèze
,
Anthony Nouy
Journal articles
hal-00368145v1
|