Anthony Nouy

Publications

Article dans une revue (63)

Weighted least-squares approximation with determinantal point processes and generalized volume sampling Anthony Nouy,Bertrand Michel SMAI Journal of Computational Mathematics, 2025, 11, pp.1 - 36. ⟨10.5802/smai-jcm.117⟩ Article dans une revue hal-05224454v1
Moment-SoS Methods for Optimal Transport Problems Olga Mula,Anthony Nouy Numerische Mathematik, 2024, 156 (4), pp.1541-1578. ⟨10.1007/s00211-024-01422-x⟩ Article dans une revue hal-03919946v1
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws Clément Cardoen,Swann Marx,Anthony Nouy,Nicolas Seguin Numerische Mathematik, 2024, 156, pp.1289-1324. ⟨10.1007/s00211-024-01428-5⟩ Article dans une revue hal-04218591v3
Dictionary-based model reduction for state estimation Anthony Nouy,Alexandre Pasco Advances in Computational Mathematics, 2024, 50 (3), pp.32. ⟨10.1007/s10444-024-10129-4⟩ Article dans une revue hal-04069442v1
Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions Markus Bachmayr,Anthony Nouy,Reinhold Schneider Pure and Applied Functional Analysis, 2023, 8 (2), pp.405-428. ⟨10.48550/arXiv.2112.01474⟩ Article dans une revue hal-04385142v1
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions Mazen Ali,Anthony Nouy Constructive Approximation, 2023, 58 (2), pp.463-544. ⟨10.1007/s00365-023-09620-w⟩ Article dans une revue hal-04385174v1
Active learning of tree tensor networks using optimal least-squares Cécile Haberstich,Anthony Nouy,Guillaume Perrin SIAM/ASA Journal on Uncertainty Quantification, 2023, 11 (3), pp.848-876. ⟨10.1137/21M1415911⟩ Article dans une revue hal-03919916v1
Geometry of tree-based tensor formats in tensor Banach spaces Antonio Falcó,Wolfgang Hackbusch,Anthony Nouy Annali di Matematica Pura ed Applicata, 2023, 202 (5), pp.2127-2144. ⟨10.1007/s10231-023-01315-0⟩ Article dans une revue hal-03919920v2
Boosted optimal weighted least-squares Cécile Haberstich,Anthony Nouy,Guillaume Perrin Mathematics of Computation, 2022, 91, pp.1281-1315. ⟨10.1090/mcom/3710⟩ Article dans une revue hal-02562188v1
Learning with tree tensor networks: complexity estimates and model selection Bertrand Michel,Anthony Nouy Bernoulli, 2022, 28 (2), pp.910 - 936. ⟨10.3150/21-BEJ1371⟩ Article dans une revue hal-02889655v1
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⟩ Article dans une revue hal-01899835v1
LEARNING HIGH-DIMENSIONAL PROBABILITY DISTRIBUTIONS USING TREE TENSOR NETWORKS Erwan Grelier,Anthony Nouy,Regis Lebrun International Journal for Uncertainty Quantification, 2022, 12 (5), pp.47-69. ⟨10.1615/Int.J.UncertaintyQuantification.2022034340⟩ Article dans une revue hal-03919932v1
A PAC algorithm in relative precision for bandit problem with costly sampling Marie Billaud-Friess,Arthur Macherey,Anthony Nouy,Clémentine Prieur Mathematical Methods of Operations Research, 2022, 96, pp.161-185. ⟨10.1007/s00186-022-00769-x⟩ Article dans une revue hal-03139679v1
Approximation of Smoothness Classes by Deep Rectifier Networks Mazen Ali,Anthony Nouy SIAM Journal on Numerical Analysis, 2021, 59 (6), pp.3032-3051. ⟨10.1137/20M1360657⟩ Article dans une revue hal-02909881v1
Principal bundle structure of matrix manifolds Marie Billaud-Friess,Antonio Falco,Anthony Nouy Mathematics , 2021, 9 (14), pp.1669. ⟨10.3390/math9141669⟩ Article dans une revue hal-01521748v1
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 BIT Numerical Mathematics, 2021, ⟨10.1007/s10543-021-00884-x⟩ Article dans une revue hal-02458048v1
Randomized linear algebra for model reduction. Part II: minimal residual methods and dictionary-based approximation Oleg Balabanov,Anthony Nouy Advances in Computational Mathematics, 2021, 47 (26), ⟨10.1007/s10444-020-09836-5⟩ Article dans une revue hal-02562161v1
Singular Value Decomposition in Sobolev Spaces: Part I Mazen Ali,Anthony Nouy Zeitschrift für Analysis und ihre Anwendungen, 2020, 39, pp.349-369. ⟨10.4171/ZAA/1663⟩ Article dans une revue hal-01899833v1
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⟩ Article dans une revue hal-02562141v1
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods Thomas Boiveau,Virginie Ehrlacher,Alexandre Ern,Anthony Nouy ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (2), pp.635-658. ⟨10.1051/m2an/2018073⟩ Article dans une revue hal-01668316v2
Randomized linear algebra for model reduction. Part I: Galerkin methods and error estimation Oleg Balabanov,Anthony Nouy Advances in Computational Mathematics, 2019, 45 (5-6), pp.2969-3019. ⟨10.1007/s10444-019-09725-6⟩ Article dans une revue hal-01899836v1
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats Anthony Nouy Numerische Mathematik, 2019, 141 (3), pp.743-789. ⟨10.1007/s00211-018-1017-8⟩ Article dans une revue hal-01521759v1
On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces A. Falcó,W. Hackbusch,Anthony Nouy Foundations of Computational Mathematics, 2019, 19, pp.159-204. ⟨10.1007/s10208-018-9381-4⟩ Article dans une revue hal-01457079v1
Weakly intrusive low-rank approximation method for nonlinear parameter-dependent equations Loïc Giraldi,Anthony Nouy SIAM Journal on Scientific Computing, 2019, 41 (3), pp.A1777-A1792. ⟨10.1137/17M1136924⟩ Article dans une revue hal-01899838v1
Tree-based tensor formats Antonio Falcó,Wolfgang Hackbusch,Anthony Nouy SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2018, ⟨10.1007/s40324-018-0177-x⟩ Article dans une revue hal-01899830v1
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities Anthony Nouy,Florent Pled ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (5), pp.1763-1802. ⟨10.1051/m2an/2018025⟩ Article dans une revue hal-01507489v2
Dynamical model reduction method for solving parameter-dependent dynamical systems Marie Billaud-Friess,Anthony Nouy SIAM Journal on Scientific Computing, 2017, 39 (4), pp.A1766-A1792. ⟨10.1137/16M1071493⟩ Article dans une revue hal-01387231v1
Projection based model order reduction methods for the estimation of vector-valued variables of interest Olivier Zahm,Marie Billaud-Friess,Anthony Nouy SIAM Journal on Scientific Computing, 2017, 39 (4), pp.A1647-A1674. ⟨10.1137/16M106385X⟩ Article dans une revue hal-01387236v1
Calcul en fiabilité d’un quai sur pieux à partir de données d’instrumentation Humberto Yáñez-Godoy,Franck Schoefs,Anthony Nouy Revue française de Géotechnique, 2017, 133, pp.51-57. ⟨10.1051/geotech/2010133051⟩ Article dans une revue hal-04985561v1
Interpolation of inverse operators for preconditioning parameter-dependent equations Olivier Zahm,Anthony Nouy SIAM Journal on Scientific Computing, 2016, 38 (2), pp.A1044-A1074. ⟨10.1137/15M1019210⟩ Article dans une revue hal-01262424v1
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 SIAM Journal on Scientific Computing, 2015, 37 (1), pp.A347 - A368. ⟨10.1137/140969063⟩ Article dans une revue hal-01899842v1
A least-squares method for sparse low rank approximation of multivariate functions Mathilde Chevreuil,Régis Lebrun,Anthony Nouy,Prashant Rai SIAM/ASA Journal on Uncertainty Quantification, 2015, 3 (1), pp.897-921. ⟨10.1137/13091899X⟩ Article dans une revue hal-00861913v1
Model reduction based on Proper Generalized Decomposition for the Stochastic steady incompressible Navier-Stokes equations Lorenzo Tamellini,Olivier Le Maitre,Anthony Nouy SIAM Journal on Scientific Computing, 2014, 36 (3), pp.A1089-A1117. ⟨10.1137/120878999⟩ Article dans une revue hal-00733733v1
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 Computer Methods in Applied Mechanics and Engineering, 2014, 273, pp.56-76. ⟨10.1016/j.cma.2014.01.019⟩ Article dans une revue hal-00952496v1
Random fields representations for stochastic elliptic boundary value problems and statistical inverse problems Anthony Nouy,Christian Soize European Journal of Applied Mathematics, 2014, 25 (3), pp.339-373. ⟨10.1017/S0956792514000072⟩ Article dans une revue hal-00945639v1
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems Marie Billaud-Friess,Anthony Nouy,Olivier Zahm ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48, pp.1777-1806. ⟨10.1051/m2an/2014019⟩ Article dans une revue hal-00861914v1
Low-rank approximate inverse for preconditioning tensor-structured linear systems Loïc Giraldi,Anthony Nouy,Grégory Legrain SIAM Journal on Scientific Computing, 2014, 36 (4), pp.A1850-A1870. ⟨10.1137/130918137⟩ Article dans une revue hal-01007458v1
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 Nouyet al. SIAM Journal on Scientific Computing, 2014, 36 (6), pp.A2720 - A2744. ⟨10.1137/130942802⟩ Article dans une revue hal-01899841v1
Tensor-based methods for numerical homogenization from high-resolution images Loïc Giraldi,Anthony Nouy,Grégory Legrain,Patrice Cartraud Computer Methods in Applied Mechanics and Engineering, 2013, 254, pp.154-169. ⟨10.1016/j.cma.2012.10.012⟩ Article dans une revue hal-00762845v1
A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties Mathilde Chevreuil,Anthony Nouy,Elias Safatly Computer Methods in Applied Mechanics and Engineering, 2013, 255, pp.255-274. ⟨10.1016/j.cma.2012.12.003⟩ Article dans une revue hal-00733739v1
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⟩ Article dans une revue istex hal-00603342v1
Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces Antonio Falco,Anthony Nouy Numerische Mathematik, 2012, 121 (3), pp.503-530. ⟨10.1007/s00211-011-0437-5⟩ Article dans une revue hal-00609108v1
Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains Anthony Nouy,Mathilde Chevreuil,Elias Safatly Computer Methods in Applied Mechanics and Engineering, 2011, 200 (45-46), pp.3066-3082. ⟨10.1016/j.cma.2011.07.002⟩ Article dans une revue hal-00662564v1
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 Article dans une revue hal-00461094v2
Identification of multi-modal random variables through mixtures of polynomial chaos expansions Anthony Nouy Comptes Rendus. Mécanique, 2010, 338 (12), pp.698-703. ⟨10.1016/j.crme.2010.09.003⟩ Article dans une revue hal-00521932v1
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations Anthony Nouy Computer Methods in Applied Mechanics and Engineering, 2010, 199 (23-24), pp.1603-1626. ⟨10.1016/j.cma.2010.01.009⟩ Article dans une revue hal-00455635v1
Proper Generalized Decompositions and separated representations for the numerical solution of high dimensional stochastic problems Anthony Nouy Archives of Computational Methods in Engineering, 2010, 17 (4), pp.403-434. ⟨10.1007/s11831-010-9054-1⟩ Article dans une revue hal-00461099v1
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⟩ Article dans une revue istex hal-00455646v1
On a Computational Strategy with Time-Space Homogenization for Heterogeneous Materials Anthony Nouy,Pierre Ladevèze Journal of the Mechanical Behavior of Materials, 2009, 19 (2-3), pp.115-124. ⟨10.1515/JMBM.2009.19.2-3.151⟩ Article dans une revue hal-02163502v1
Generalized Spectral Decomposition for Stochastic Non Linear Problems Anthony Nouy,Olivier Le Maitre Journal of Computational Physics, 2009, 228 (1), pp.202-235. ⟨10.1016/j.jcp.2008.09.010⟩ Article dans une revue hal-00366630v1
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⟩ Article dans une revue hal-00366640v1
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 Article dans une revue hal-00366636v1
Assessment of ROC curves for inspection of random fields Franck Schoefs,Alexandre Clément,Anthony Nouy Structural Safety, 2009, 31 (5), pp.409-419. ⟨10.1016/j.strusafe.2009.01.004⟩ Article dans une revue hal-01005279v1
Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms Anthony Nouy Computer Methods in Applied Mechanics and Engineering, 2008, 197 (51-52), pp.4718-4736. ⟨10.1016/j.cma.2008.06.012⟩ Article dans une revue hal-00366613v1
An eXtended Stochastic Finite Element Method for solving stochastic partial differential equations on random domains Anthony Nouy,Alexandre Clément,Franck Schoefs,Nicolas Moes Computer Methods in Applied Mechanics and Engineering, 2008, 197 (51-52), pp.4663-4682. ⟨10.1016/j.cma.2008.06.010⟩ Article dans une revue istex hal-00366617v1
Méthode de construction de bases spectrales généralisées pour l'approximation de problèmes stochastiques Anthony Nouy Mechanics & Industry, 2007, 8 (3), pp.283-288. ⟨10.1051/meca:2007050⟩ Article dans une revue hal-01007031v1
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⟩ Article dans une revue hal-00368060v1
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations Anthony Nouy Computer Methods in Applied Mechanics and Engineering, 2007, 196 (45-48), pp.4521-4537. ⟨10.1016/j.cma.2007.05.016⟩ Article dans une revue hal-00366619v2
Extreme storm loading on in-service wharf structures Humberto Yáñez-Godoy,Franck Schoefs,Anthony Nouy,Pascal Casari Revue Européenne de Génie Civil, 2006, 10 (5), pp.565-581. ⟨10.1080/17747120.2006.9692845⟩ Article dans une revue hal-01006890v1
Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems Anthony Nouy,Pierre Ladevèze International Journal for Multiscale Computational Engineering, 2004, 2 (4), ⟨10.1615/IntJMultCompEng.v2.i4.40⟩ Article dans une revue hal-00368058v1
On a Multiscale Computational Strategy with Time and Space Homogenization for Structural Mechanics Pierre Ladevèze,Anthony Nouy Computer Methods in Applied Mechanics and Engineering, 2003, 192 (28-30), pp.3061-3087. ⟨10.1016/S0045-7825(03)00341-4⟩ Article dans une revue istex hal-00366648v1
A multiscale computational method with time and space homogenization Pierre Ladevèze,Anthony Nouy Comptes Rendus. Mécanique, 2002, 330 (10), pp.683-689. ⟨10.1016/S1631-0721(02)01514-0⟩ Article dans une revue hal-00368145v1
A Multiscale Computational Approach for Contact Problems Pierre Ladevèze,Anthony Nouy,O. Loiseau Computer Methods in Applied Mechanics and Engineering, 2002, 191 (43), pp.4869-4891. ⟨10.1016/S0045-7825(02)00406-1⟩ Article dans une revue hal-00366657v1

Chapitre d'ouvrage (2)

Low-rank methods for high-dimensional approximation and model order reduction Anthony Nouy P. Benner; A. Cohen; M. Ohlberger; K. Willcox. Model Reduction and Approximation: Theory and Algorithms, SIAM, Philadelphia, 2017 Chapitre d'ouvrage hal-01262422v1
Low-rank tensor methods for model order reduction Anthony Nouy R. Ghanem; D. Higdon; H. Owhadi. Handbook of Uncertainty Quantification, 2016 Chapitre d'ouvrage hal-01262403v1

Pré-publication, Document de travail (14)

Surrogate to Poincar\'e inequalities on manifolds for dimension reduction in nonlinear feature spaces Anthony Nouy,Alexandre Pasco 2025 Pré-publication, Document de travail hal-05082263v1
Nonlinear manifold approximation using compositional polynomial networks Antoine Bensalah,Anthony Nouy,Joel Soffo 2025 Pré-publication, Document de travail hal-05101070v1
Almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces Philipp Trunschke,Anthony Nouy 2024 Pré-publication, Document de travail hal-04785505v1
Optimal sampling for stochastic and natural gradient descent Robert Gruhlke,Anthony Nouy,Philipp Trunschke 2024 Pré-publication, Document de travail hal-04785511v1
Optimal sampling for least squares approximation with general dictionaries Philipp Trunschke,Anthony Nouy 2024 Pré-publication, Document de travail hal-04785502v1
Approximation Theory of Tree Tensor Networks: Tensorized Multivariate Functions Mazen Ali,Anthony Nouy 2023 Pré-publication, Document de travail hal-04385183v1
Weighted sparsity and sparse tensor networks for least squares approximation Philipp Trunschke,Anthony Nouy,Martin Eigel 2023 Pré-publication, Document de travail hal-04385061v1
Weighted least-squares approximation with determinantal point processes and generalized volume sampling Anthony Nouy,Bertrand Michel 2023 Pré-publication, Document de travail hal-04385090v1
Preconditioners for model order reduction by interpolation and random sketching of operators Oleg Balabanov,Anthony Nouy 2023 Pré-publication, Document de travail hal-03919901v1
Approximation with Tensor Networks. Part II: Approximation Rates for Smoothness Classes Mazen Ali,Anthony Nouy 2020 Pré-publication, Document de travail hal-02889657v1
Approximation with Tensor Networks. Part I: Approximation Spaces Mazen Ali,Anthony Nouy 2020 Pré-publication, Document de travail hal-02889656v1
Learning with tree-based tensor formats Erwan Grelier,Anthony Nouy,Mathilde Chevreuil 2019 Pré-publication, Document de travail hal-02283004v1
Geometric Structures in Tensor Representations (Final Release) Antonio Falco,Wolfgang Hackbusch,Anthony Nouy 2016 Pré-publication, Document de travail hal-00861916v2
Constrained Tensor Product Approximations based on Penalized Best Approximations Anthony Nouy,Antonio Falco 2011 Pré-publication, Document de travail hal-00577942v1