Olivier Zahm

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Publications

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
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Mollified Active Subspace

Romain Verdière , Clémentine Prieur , Olivier Zahm

2025

Pré-publication, Document de travail hal-05194926v2
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Coupled input-output dimension reduction

Qiao Chen , Élise Arnaud , Ricardo Baptista , Olivier Zahm

2024

Pré-publication, Document de travail hal-04614897v1
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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
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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
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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

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

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
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Application of hierarchical matrix techniques to the homogenization of composite materials

Paul Cazeaux , Olivier Zahm

2013

Pré-publication, Document de travail hal-00922827v1
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Activity report ciroquo research & industry consortium

Christophette Blanchet-Scalliet , Céline Helbert , Delphine Sinoquet , Miguel Munoz Munoz Zuniga , Rodolphe Le Riche et 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
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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

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
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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
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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
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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
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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
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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
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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
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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

SIAM Journal on Scientific Computing, 2017, 39 (4), pp.A1647-A1674. ⟨10.1137/16M106385X⟩

Article dans une revue hal-01387236v1
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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
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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

ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48, pp.1777-1806. ⟨10.1051/m2an/2014019⟩

Article dans une revue hal-00861914v1

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
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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
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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
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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
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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

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

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

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