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2020 – today
- 2024
[j24]Marie Billaud Friess, Arthur Macherey, Anthony Nouy, Clémentine Prieur:
A probabilistic reduced basis method for parameter-dependent problems. Adv. Comput. Math. 50(2): 19 (2024)- [j23]Anthony Nouy, Alexandre Pasco
:
Dictionary-based model reduction for state estimation. Adv. Comput. Math. 50(3): 32 (2024) - [j22]Clément Cardoen, Swann Marx, Anthony Nouy, Nicolas Seguin:
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws. Numerische Mathematik 156(4): 1289-1324 (2024) - [j21]Olga Mula, Anthony Nouy:
Moment-SoS methods for optimal transport problems. Numerische Mathematik 156(4): 1541-1578 (2024) - [i23]Philipp Trunschke, Anthony Nouy:
Almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces. CoRR abs/2407.06674 (2024) - [i22]Philipp Trunschke, Anthony Nouy:
Optimal sampling for least squares approximation with general dictionaries. CoRR abs/2407.07814 (2024) - 2023
- [j20]Cécile Haberstich, Anthony Nouy, Guillaume Perrin:
Active Learning of Tree Tensor Networks using Optimal Least Squares. SIAM/ASA J. Uncertain. Quantification 11(3): 848-876 (2023) - [i21]Anthony Nouy, Alexandre Pasco:
Dictionary-based model reduction for state estimation. CoRR abs/2303.10771 (2023) - [i20]Marie Billaud Friess, Arthur Macherey, Anthony Nouy, Clémentine Prieur:
A probabilistic reduced basis method for parameter-dependent problems. CoRR abs/2304.08784 (2023) - [i19]Clément Cardoen, Swann Marx, Anthony Nouy, Nicolas Seguin:
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws. CoRR abs/2307.10043 (2023) - [i18]Philipp Trunschke, Anthony Nouy, Martin Eigel:
Weighted sparsity and sparse tensor networks for least squares approximation. CoRR abs/2310.08942 (2023) - [i17]Anthony Nouy, Bertrand Michel:
Weighted least-squares approximation with determinantal point processes and generalized volume sampling. CoRR abs/2312.14057 (2023) - 2022
- [j19]Quentin Ayoul-Guilmard, Anthony Nouy, Christophe Binetruy:
Tensor-Based Numerical Method for Stochastic Homogenization. Multiscale Model. Simul. 20(1): 36-71 (2022) - [j18]Marie Billaud Friess, Arthur Macherey, Anthony Nouy, Clémentine Prieur:
A PAC algorithm in relative precision for bandit problem with costly sampling. Math. Methods Oper. Res. 96(2): 161-185 (2022) - [j17]Cécile Haberstich, Anthony Nouy, Guillaume Perrin:
Boosted optimal weighted least-squares. Math. Comput. 91(335): 1281-1315 (2022) - [i16]Olga Mula, Anthony Nouy:
Moment-SoS Methods for Optimal Transport Problems. CoRR abs/2211.10742 (2022) - 2021
- [j16]Oleg Balabanov, Anthony Nouy:
Randomized linear algebra for model reduction - part II: minimal residual methods and dictionary-based approximation. Adv. Comput. Math. 47(2): 26 (2021) - [j15]Mazen Ali, Anthony Nouy:
Approximation of Smoothness Classes by Deep Rectifier Networks. SIAM J. Numer. Anal. 59(6): 3032-3051 (2021) - [i15]Mazen Ali, Anthony Nouy:
Approximation with Tensor Networks. Part III: Multivariate Approximation. CoRR abs/2101.11932 (2021) - [i14]Oleg Balabanov, Anthony Nouy:
Preconditioners for model order reduction by interpolation and random sketching of operators. CoRR abs/2104.12177 (2021) - [i13]Cécile Haberstich, Anthony Nouy, Guillaume Perrin:
Active learning of tree tensor networks using optimal least-squares. CoRR abs/2104.13436 (2021) - [i12]Markus Bachmayr, Anthony Nouy, Reinhold Schneider:
Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions. CoRR abs/2112.01474 (2021) - 2020
- [c1]Gaspard Ducamp, Philippe Bonnard, Anthony Nouy, Pierre-Henri Wuillemin:
An Efficient Low-Rank Tensors Representation for Algorithms in Complex Probabilistic Graphical Models. PGM 2020: 173-184 - [i11]Marie Billaud Friess, Antonio Falcó, Anthony Nouy:
A geometry based algorithm for dynamical low-rank approximation. CoRR abs/2001.08599 (2020) - [i10]Mazen Ali, Anthony Nouy:
Approximation with Tensor Networks. Part I: Approximation Spaces. CoRR abs/2007.00118 (2020) - [i9]Mazen Ali, Anthony Nouy:
Approximation with Tensor Networks. Part II: Approximation Rates for Smoothness Classes. CoRR abs/2007.00128 (2020) - [i8]Marie Billaud Friess, Arthur Macherey, Anthony Nouy, Clémentine Prieur:
A PAC algorithm in relative precision for bandit problem with costly sampling. CoRR abs/2007.15331 (2020) - [i7]Mazen Ali, Anthony Nouy:
Approximation of Smoothness Classes by Deep ReLU Networks. CoRR abs/2007.15645 (2020) - [i6]Antonio Falcó, Wolfgang Hackbusch, Anthony Nouy:
Geometry of tree-based tensor formats in tensor Banach spaces. CoRR abs/2011.08466 (2020)
2010 – 2019
- 2019
- [j14]Oleg Balabanov, Anthony Nouy:
Randomized linear algebra for model reduction. Part I: Galerkin methods and error estimation. Adv. Comput. Math. 45(5): 2969-3019 (2019) - [j13]Antonio Falcó, Wolfgang Hackbusch, Anthony Nouy:
On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces. Found. Comput. Math. 19(1): 159-204 (2019) - [j12]Anthony Nouy:
Higher-order principal component analysis for the approximation of tensors in tree-based low-rank formats. Numerische Mathematik 141(3): 743-789 (2019) - [j11]Loïc Giraldi, Anthony Nouy:
Weakly Intrusive Low-Rank Approximation Method for Nonlinear Parameter-Dependent Equations. SIAM J. Sci. Comput. 41(3): A1777-A1792 (2019) - [i5]Oleg Balabanov, Anthony Nouy:
Randomized linear algebra for model reduction. Part II: minimal residual methods and dictionary-based approximation. CoRR abs/1910.14378 (2019) - [i4]Cécile Haberstich, Anthony Nouy, Guillaume Perrin:
Boosted optimal weighted least-squares. CoRR abs/1912.07075 (2019) - [i3]Erwan Grelier, Anthony Nouy, Régis Lebrun:
Learning high-dimensional probability distributions using tree tensor networks. CoRR abs/1912.07913 (2019) - [i2]Mazen Ali, Anthony Nouy:
Singular Value Decomposition in Sobolev Spaces: Part II. CoRR abs/1912.11293 (2019) - 2018
- [i1]Erwan Grelier, Anthony Nouy, Mathilde Chevreuil:
Learning with tree-based tensor formats. CoRR abs/1811.04455 (2018) - 2017
- [j10]Marie Billaud Friess, Anthony Nouy:
Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems. SIAM J. Sci. Comput. 39(4) (2017) - [j9]Olivier Zahm, Marie Billaud Friess, Anthony Nouy:
Projection-Based Model Order Reduction Methods for the Estimation of Vector-Valued Variables of Interest. SIAM J. Sci. Comput. 39(4) (2017) - 2016
- [j8]Olivier Zahm, Anthony Nouy:
Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations. SIAM J. Sci. Comput. 38(2) (2016) - 2015
- [j7]Mathilde Chevreuil, Régis Lebrun, Anthony Nouy, Prashant Rai:
A Least-Squares Method for Sparse Low Rank Approximation of Multivariate Functions. SIAM/ASA J. Uncertain. Quantification 3(1): 897-921 (2015) - [j6]Loïc Giraldi, Dishi Liu, Hermann G. Matthies, Anthony Nouy:
To Be or Not to be Intrusive? The Solution of Parametric and Stochastic Equations - Proper Generalized Decomposition. SIAM J. Sci. Comput. 37(1) (2015) - 2014
- [j5]Lorenzo Tamellini, Olivier P. Le Maître, Anthony Nouy:
Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 36(3) (2014) - [j4]Loïc Giraldi, Anthony Nouy, Grégory Legrain:
Low-Rank Approximate Inverse for Preconditioning Tensor-Structured Linear Systems. SIAM J. Sci. Comput. 36(4) (2014) - [j3]Loïc Giraldi, Alexander Litvinenko, Dishi Liu, Hermann G. Matthies, Anthony Nouy:
To Be or Not to Be Intrusive? The Solution of Parametric and Stochastic Equations - the "Plain Vanilla" Galerkin Case. SIAM J. Sci. Comput. 36(6) (2014) - 2012
- [j2]Antonio Falcó, Anthony Nouy:
Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces. Numerische Mathematik 121(3): 503-530 (2012)
2000 – 2009
- 2009
- [j1]Anthony Nouy, Olivier P. Le Maître:
Generalized spectral decomposition for stochastic nonlinear problems. J. Comput. Phys. 228(1): 202-235 (2009)
Coauthor Index
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