Olivier Zahm

Publications

Pré-publication, Document de travail (12)

Mollified Active Subspace Romain Verdière,Clémentine Prieur,Olivier Zahm 2025 Pré-publication, Document de travail hal-05194926v2
Sequential transport maps using SoS density estimation and $\alpha$-divergences Benjamin Zanger,Olivier Zahm,Tiangang Cui,Martin Schreiber 2025 Pré-publication, Document de travail hal-04903625v1
Coupled input-output dimension reduction Qiao Chen,Élise Arnaud,Ricardo Baptista,Olivier Zahm 2024 Pré-publication, Document de travail hal-04614897v1
Optimal Riemannian metric for Poincaré inequalities and how to ideally precondition Langevin dymanics Tiangang Cui,Xin Tong,Olivier Zahm 2024 Pré-publication, Document de travail (preprint/prepublication) hal-04526677v1
Sharp detection of low-dimensional structure in probability measures via dimensional logarithmic Sobolev inequalities Matthew T. C. Li,Tiangang Cui,Fengyi Li,Youssef Marzouk,Olivier Zahm 2024 Pré-publication, Document de travail hal-04738860v1
Continuous Gaussian mixture solution for linear Bayesian inversion with application to Laplace priors Rafael Flock,Yiqiu Dong,Felipe Uribe,Olivier Zahm 2024 Pré-publication, Document de travail hal-04683428v1
Literature review on rare event probability estimation in high dimension Valentin Breaz,Olivier Zahm,Miguel Munoz Munoz Zuniga 2024 Pré-publication, Document de travail hal-04564739v1
Diffeomorphism-based feature learning using Poincaré inequalities on augmented input space Romain Verdière,Clémentine Prieur,Olivier Zahm 2023 Pré-publication, Document de travail hal-04364208v1
Self-reinforced polynomial approximation methods for concentrated probability densities Tiangang Cui,Sergey Dolgov,Olivier Zahm 2023 Pré-publication, Document de travail hal-04216842v1
Learning non-Gaussian graphical models via Hessian scores and triangular transport Ricardo Baptista,Youssef Marzouk,Rebecca E. Morrison,Olivier Zahm 2022 Pré-publication, Document de travail hal-03528005v1
Gradient-based data and parameter dimension reduction for Bayesian models: an information theoretic perspective Ricardo Baptista,Youssef Marzouk,Olivier Zahm 2022 Pré-publication, Document de travail hal-03877649v1
Application of hierarchical matrix techniques to the homogenization of composite materials Paul Cazeaux,Olivier Zahm 2013 Pré-publication, Document de travail hal-00922827v1

Article dans une revue (16)

Principal Feature Detection via $\Phi$-Sobolev Inequalities Matthew T.C. Li,Youssef Marzouk,Olivier Zahm Bernoulli, 2024, 30 (4), pp.2979-3003. ⟨10.3150/23-BEJ1702⟩ Article dans une revue hal-04216841v1
On the representation and learning of monotone triangular transport maps Ricardo Baptista,Youssef Marzouk,Olivier Zahm Foundations of Computational Mathematics, 2024, 24, pp.2063-2108. ⟨10.1007/s10208-023-09630-x⟩ Article dans une revue hal-03060198v1
Certified coordinate selection for high-dimensional Bayesian inversion with Laplace prior Rafael Flock,Yiqiu Dong,Felipe Uribe,Olivier Zahm Statistics and Computing, 2023, 34 (4), pp.134. ⟨10.1007/s11222-024-10445-1⟩ Article dans une revue hal-04273681v1
Scalable conditional deep inverse Rosenblatt transports using tensor trains and gradient-based dimension reduction Tiangang Cui,Sergey Dolgov,Olivier Zahm Journal of Computational Physics, 2023, pp.112103. ⟨10.1016/j.jcp.2023.112103⟩ Article dans une revue hal-03527999v1
Certified dimension reduction in nonlinear Bayesian inverse problems Olivier Zahm,Tiangang Cui,Kody Law,Alessio Spantini,Youssef Marzouk Mathematics of Computation, 2022, 91, pp.1789-1835. ⟨10.1090/mcom/3737⟩ Article dans une revue hal-01834039v2
Prior normalization for certified likelihood-informed subspace detection of Bayesian inverse problems Tiangang Cui,Xin Tong,Olivier Zahm Inverse Problems, 2022, 38 (12), pp.124002. ⟨10.1088/1361-6420/ac9582⟩ Article dans une revue hal-03877862v1
Nonlinear dimension reduction for surrogate modeling using gradient information Daniele Bigoni,Youssef Marzouk,Clémentine Prieur,Olivier Zahm Information and Inference, 2022, ⟨10.1093/imaiai/iaac006⟩ Article dans une revue hal-03146362v1
Data-Free Likelihood-Informed Dimension Reduction of Bayesian Inverse Problems Tiangang Cui,Olivier Zahm Inverse Problems, 2021, 37 (4), pp.045009. ⟨10.1088/1361-6420/abeafb⟩ Article dans une revue hal-02938064v2
Minimizing rational functions: a hierarchy of approximations via pushforward measures Jean-Bernard Lasserre,Victor Magron,Swann Marx,Olivier Zahm SIAM Journal on Optimization, 2021, 31 (3), pp.2285-2306. ⟨10.1137/20M138541X⟩ Article dans une revue hal-03053386v1
Gradient-based dimension reduction of multivariate vector-valued functions Olivier Zahm,Paul Constantine,Clémentine Prieur,Youssef Marzouk SIAM Journal on Scientific Computing, 2020, 42 (1), pp.A929-A956. ⟨10.1137/18M1221837⟩ Article dans une revue hal-01701425v3
Multifidelity Dimension Reduction via Active Subspaces Rémi Lam,Olivier Zahm,Youssef Marzouk,Karen Willcox SIAM Journal on Scientific Computing, 2020, 42 (2), pp.A929-A956. ⟨10.1137/18M1214123⟩ Article dans une revue hal-01875946v1
Randomized residual-based error estimators for the Proper Generalized Decomposition approximation of parametrized problems Kathrin Smetana,Olivier Zahm International Journal for Numerical Methods in Engineering, 2020, Special Issue: Credible High‐Fidelity and Low‐Cost Simulations in Computational Engineering, 121 (23), pp.5153-5177. ⟨10.1002/nme.6339⟩ Article dans une revue hal-02335617v1
Randomized residual-based error estimators for parametrized equations Kathrin Smetana,Olivier Zahm,Anthony T Patera SIAM Journal on Scientific Computing, 2019, 41 (2), pp.A900-A926. ⟨10.1137/18M120364X⟩ Article dans une revue hal-01851462v1
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
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
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

Rapport (1)

Activity report ciroquo research & industry consortium Christophette Blanchet-Scalliet,Céline Helbert,Delphine Sinoquet,Miguel Munoz Munoz Zuniga,Rodolphe Le Richeet al. Ecole Centrale de Lyon; Mines Saint-Etienne; Université Toulouse 3 (Paul Sabatier); Stellantis France; BRGM (Bureau de recherches géologiques et minières); CEA; IFP Energies Nouvelles; Institut de Radioprotection et de Sûreté Nucléaire; Storengy; INRIA; CNRS. 2024, pp.1-11 Rapport (rapport contrat/projet) hal-04661116v1

Poster de conférence (1)

Coupled Input-Output Dimension Reduction Qiao Chen,Élise Arnaud,Ricardo Baptista,Olivier Zahm MASCOT-NUM 2024, Apr 2024, Giens Peninsula, Hyères, France Poster de conférence hal-05011804v1

Communication dans un congrès (10)

Greedy inference with structure-exploiting lazy maps Michael Brennan,Daniele Bigoni,Olivier Zahm,Alessio Spantini,Youssef Marzouk NeurIPS '20 - 34th International Conference on Neural Information Processing Systems, Dec 2020, Virtual, Canada. pp.8330-8342 Communication dans un congrès hal-02147706v1
Approximation de faible rang d'un échantillon de solution d'une équation paramétrée Loïc Giraldi,Anthony Nouy,Olivier Zahm 12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France Communication dans un congrès hal-01517284v1
Interpolation d'inverses d'opérateurs pour la réduction de modèles paramétrés. Olivier Zahm,Anthony Nouy 12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France Communication dans un congrès hal-01515065v1
Méthode de réduction de modèle a priori basée sur des formulations idéales en minimum de résidu Olivier Zahm,Marie Billaud-Friess,Anthony Nouy 11e colloque national en calcul des structures, CSMA, May 2013, Giens, France Communication dans un congrès hal-01717098v1
A tensor-based algorithm for solving stochastic PDEs Marie Billaud-Friess,Anthony Nouy,Olivier Zahm SIAM Computational Sciences and Engineering, 2013, Boston, United States Communication dans un congrès hal-01007814v1
A Tensor-Based Algorithm for the Optimal Model Reduction of High Dimensional Problems Olivier Zahm,Marie Billaud-Friess,Anthony Nouy 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France Communication dans un congrès hal-00855901v1
Optimal a priori Tensor Decomposition for the Solution of High Dimensional Problems Anthony Nouy,Marie Billaud-Friess,Olivier Zahm SIAM ALA, 2012, Valencia, Spain Communication dans un congrès hal-01008617v1
Tensor based methods for high dimensional parametric problems: optimal model reductions and their approximations Anthony Nouy,Marie Billaud-Friess,Olivier Zahm WCCM 2012, 2012, Sao Paulo, France Communication dans un congrès hal-01009003v1
Méthode de réduction de modèles a priori basée sur des formulations idéales en minimum de résidu Marie Billaud-Friess,Anthony Nouy,Olivier Zahm Congrès d'Analyse NUMérique, 2012, Superbesse, France Communication dans un congrès hal-01008424v1
Tensor-based methods for uncertainty propagation: alternative definitions and algorithms Anthony Nouy,Marie Billaud-Friess,Mathilde Chevreuil,Prashant Rai,Olivier Zahm SIAM Conference on Uncertainty Quantification, 2012, Raleigh, United States Communication dans un congrès hal-01009008v1

Thèse (1)

Model order reduction methods for parameter-dependent equations -- Applications in Uncertainty Quantification. Olivier Zahm Mathematics [math]. Ecole Centrale de Nantes (ECN), 2015. English. ⟨NNT : ⟩ Thèse tel-01256411v1