Generalized spectral decomposition for stochastic nonlinear problems. - Anthony Nouy; Olivier P. Le Maître (J. Comput. Phys., 2009)

Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces. - Antonio Falcó; Anthony Nouy (Numerische Mathematik, 2012)

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 (SIAM J. Sci. Comput., 2014)

Low-Rank Approximate Inverse for Preconditioning Tensor-Structured Linear Systems. - Loïc Giraldi; Anthony Nouy; Grégory Legrain (SIAM J. Sci. Comput., 2014)

Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier-Stokes Equations. - Lorenzo Tamellini; Olivier P. Le Maître; Anthony Nouy (SIAM J. Sci. Comput., 2014)

A Least-Squares Method for Sparse Low Rank Approximation of Multivariate Functions. - Mathilde Chevreuil; Régis Lebrun; Anthony Nouy; Prashant Rai (SIAM/ASA J. Uncertain. Quantification, 2015)

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 J. Sci. Comput., 2015)

Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations. - Olivier Zahm; Anthony Nouy (SIAM J. Sci. Comput., 2016)

Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems. - Marie Billaud Friess; Anthony Nouy (SIAM J. Sci. Comput., 2017)

Projection-Based Model Order Reduction Methods for the Estimation of Vector-Valued Variables of Interest. - Olivier Zahm; Marie Billaud Friess; Anthony Nouy (SIAM J. Sci. Comput., 2017)

Learning with tree-based tensor formats. - Erwan Grelier; Anthony Nouy; Mathilde Chevreuil (CoRR, 2018)

Randomized linear algebra for model reduction. Part I: Galerkin methods and error estimation. - Oleg Balabanov; Anthony Nouy (Adv. Comput. Math., 2019)

Learning high-dimensional probability distributions using tree tensor networks. - Erwan Grelier; Anthony Nouy; Régis Lebrun (CoRR, 2019)

Singular Value Decomposition in Sobolev Spaces: Part II. - Mazen Ali; Anthony Nouy (CoRR, 2019)

On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces. - Antonio Falcó; Wolfgang Hackbusch; Anthony Nouy (Found. Comput. Math., 2019)

Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. - Anthony Nouy (Numerische Mathematik, 2019)

Weakly Intrusive Low-Rank Approximation Method for Nonlinear Parameter-Dependent Equations. - Loïc Giraldi; Anthony Nouy (SIAM J. Sci. Comput., 2019)

An Efficient Low-Rank Tensors Representation for Algorithms in Complex Probabilistic Graphical Models. - Gaspard Ducamp; Philippe Bonnard; Anthony Nouy; Pierre-Henri Wuillemin (PGM, 2020)

A geometry based algorithm for dynamical low-rank approximation. - Marie Billaud Friess; Antonio Falcó; Anthony Nouy (CoRR, 2020)

Approximation with Tensor Networks. Part I: Approximation Spaces. - Mazen Ali; Anthony Nouy (CoRR, 2020)

Approximation with Tensor Networks. Part II: Approximation Rates for Smoothness Classes. - Mazen Ali; Anthony Nouy (CoRR, 2020)

Approximation of Smoothness Classes by Deep ReLU Networks. - Mazen Ali; Anthony Nouy (CoRR, 2020)

Geometry of tree-based tensor formats in tensor Banach spaces. - Antonio Falcó; Wolfgang Hackbusch; Anthony Nouy (CoRR, 2020)

Randomized linear algebra for model reduction - part II: minimal residual methods and dictionary-based approximation. - Oleg Balabanov; Anthony Nouy (Adv. Comput. Math., 2021)

Approximation with Tensor Networks. Part III: Multivariate Approximation. - Mazen Ali; Anthony Nouy (CoRR, 2021)

Preconditioners for model order reduction by interpolation and random sketching of operators. - Oleg Balabanov; Anthony Nouy (CoRR, 2021)

Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions. - Markus Bachmayr; Anthony Nouy; Reinhold Schneider (CoRR, 2021)

Approximation of Smoothness Classes by Deep Rectifier Networks. - Mazen Ali; Anthony Nouy (SIAM J. Numer. Anal., 2021)

Tensor-Based Numerical Method for Stochastic Homogenization. - Quentin Ayoul-Guilmard; Anthony Nouy; Christophe Binetruy (Multiscale Model. Simul., 2022)

A PAC algorithm in relative precision for bandit problem with costly sampling. - Marie Billaud Friess; Arthur Macherey; Anthony Nouy; Clémentine Prieur (Math. Methods Oper. Res., 2022)

Boosted optimal weighted least-squares. - Cécile Haberstich; Anthony Nouy; Guillaume Perrin (Math. Comput., 2022)

Weighted sparsity and sparse tensor networks for least squares approximation. - Philipp Trunschke; Anthony Nouy; Martin Eigel (CoRR, 2023)

Weighted least-squares approximation with determinantal point processes and generalized volume sampling. - Anthony Nouy; Bertrand Michel (CoRR, 2023)

Active Learning of Tree Tensor Networks using Optimal Least Squares. - Cécile Haberstich; Anthony Nouy; Guillaume Perrin (SIAM/ASA J. Uncertain. Quantification, 2023)

Almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces. - Philipp Trunschke; Anthony Nouy (CoRR, 2024)

Optimal sampling for least squares approximation with general dictionaries. - Philipp Trunschke; Anthony Nouy (CoRR, 2024)

A probabilistic reduced basis method for parameter-dependent problems. - Marie Billaud Friess; Arthur Macherey; Anthony Nouy; Clémentine Prieur (Adv. Comput. Math., 2024)

Dictionary-based model reduction for state estimation. - Anthony Nouy; Alexandre Pasco (Adv. Comput. Math., 2024)

A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws. - Clément Cardoen; Swann Marx; Anthony Nouy; Nicolas Seguin (Numerische Mathematik, 2024)

Moment-SoS methods for optimal transport problems. - Olga Mula; Anthony Nouy (Numerische Mathematik, 2024)

Nonlinear manifold approximation using compositional polynomial networks. - Antoine Bensalah; Anthony Nouy; Joel Soffo (CoRR, 2025)

Surrogate to Poincaré inequalities on manifolds for dimension reduction in nonlinear feature spaces. - Anthony Nouy; Alexandre Pasco (CoRR, 2025)