Damiano Lombardi

74
Documents

Publications

Publications

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Mathematical modeling of photoplethysmography: model assessment and validation

Adrien Lefieux , Justine Daraize , Fabien Vergnet , Marina Vidrascu , Marie Willemet et al.

Cardiovascular Engineering and Technology, inPress

Article dans une revue hal-05134478v3
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Validation of a mathematical model of arterial wall mechanics with drug induced vasoconstriction against ex vivo measurements

Sara Costa Faya , Callan Wesley , Marina Vidrascu , Miguel Angel Fernández , Pieter-Jan Guns et al.

Cardiovascular Engineering and Technology, 2025, ⟨10.1007/s13239-025-00796-9⟩

Article dans une revue hal-04597238v3
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Numerical approximation of the unique continuation problem enriched by a database for the Stokes equations

Muriel Boulakia , Corrie James , Damiano Lombardi

ESAIM: Mathematical Modelling and Numerical Analysis, 2025, 59 (3), pp.1399-1435. ⟨10.1051/m2an/2025024⟩

Article dans une revue hal-04721560v3
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A low-rank solver for parameter estimation and uncertainty quantification in linear time dependent systems of Partial Differential Equations

Sébastien Riffaud , Miguel Angel Fernández , Damiano Lombardi

Journal of Scientific Computing, 2024, 99 (2), pp.34. ⟨10.1007/s10915-024-02488-3⟩

Article dans une revue hal-03908682v2
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Comparison of statistical, machine learning, and mathematical modelling methods to investigate the effect of ageing on dog's cardiovascular system

Elham Ataei Alizadeh , Sara Costa Faya , Haibo Liu , Damiano Lombardi , Sylvain Bernasconi et al.

ESAIM: Proceedings and Surveys, 2023, 73, ⟨10.1051/proc/202373002⟩

Article dans une revue hal-03933957v2
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Tracking of blood vessels motion from 4D-flow MRI data

Mocia Agbalessi , Alain Lalande , Olivier Bouchot , Toshiyuki Hayase , Jean-Joseph Christophe et al.

Cardiovascular Engineering and Technology, 2023, 14, pp.577-604. ⟨10.1007/s13239-023-00677-z⟩

Article dans une revue hal-03349442v3
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SoTT: greedy approximation of a tensor as a sum of Tensor Trains

Virginie Ehrlacher , Maria Fuente-Ruiz , Damiano Lombardi

SIAM Journal on Scientific Computing, 2022, 44 (2), ⟨10.1137/20M1381472⟩

Article dans une revue hal-03018646v3
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State estimation in nonlinear parametric time dependent systems using Tensor Train

Damiano Lombardi

International Journal for Numerical Methods in Engineering, 2022, ⟨10.1002/nme.7067⟩

Article dans une revue hal-03375811v3
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Artificial Neural Network Comparison on hERG Channel Blockade Detection

Haibo Liu , Tessa de Korte , Sylvain Bernasconi , Christophe Bleunven , Damiano Lombardi et al.

International Journal of Computer Applications, 2022, 184 (14), ⟨10.5120/ijca2022922119⟩

Article dans une revue hal-03934224v1
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Adaptive hierarchical subtensor partitioning for tensor compression

Virginie Ehrlacher , Laura Grigori , Damiano Lombardi , Hao Song

SIAM Journal on Scientific Computing, 2021, ⟨10.1137/19M128689X⟩

Article dans une revue hal-02284456v1
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An information-theoretic framework for optimal design: analysis of protocols for estimating soft tissue parameters in biaxial experiments

Ankush Aggarwal , Damiano Lombardi , Sanjay Pant

Axioms, 2021, 10 (2), pp.79. ⟨10.3390/axioms10020079⟩

Article dans une revue hal-03187110v1
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A method to enrich experimental datasets by means of numerical simulations in view of classification tasks

Damiano Lombardi , Fabien Raphel

ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (5), pp.2259-2291. ⟨10.1051/m2an/2021060⟩

Article dans une revue hal-03377036v3
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Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models

Felipe Galarce , Jean-Frédéric Gerbeau , Damiano Lombardi , Olga Mula

Computer Methods in Applied Mechanics and Engineering, 2021, ⟨10.1016/j.cma.2020.113559⟩

Article dans une revue hal-02403686v1

Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Felipe Galarce , Damiano Lombardi , Olga Mula

International Journal for Numerical Methods in Biomedical Engineering, 2020, ⟨10.1002/cnm.3416⟩

Article dans une revue hal-03037328v1
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Characterization of Spatio-Temporal Cardiac Action Potential Variability at Baseline and under beta-Adrenergic Stimulation by Combined Unscented Kalman Filter and Double Greedy Dimension Reduction

David Sampedro-Puente , Fabien Raphel , Jesus Fernandez-Bes , Pablo Laguna , Damiano Lombardi et al.

IEEE Journal of Biomedical and Health Informatics, In press, ⟨10.1109/JBHI.2020.2984647⟩

Article dans une revue hal-02532554v1

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

Virginie Ehrlacher , Damiano Lombardi , Olga Mula , François-Xavier Vialard

ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (6), pp.2159-2197. ⟨10.1051/m2an/2020013⟩

Article dans une revue hal-02290431v1
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Reducing Hypermuscularization of the Transitional Segment between Arterioles and Capillaries Protects Against Spontaneous Intracerebral Hemorrhage

Julien Ratelade , Nicholas Klug , Damiano Lombardi , Monara Kaelle Servulo Cruz Angelim , Fabrice Dabertrand et al.

Circulation, 2020, 141 (25), pp.2078-2094. ⟨10.1161/CIRCULATIONAHA.119.040963⟩

Article dans une revue inserm-02511921v1

Numerical quadrature in the Brillouin zone for periodic Schrödinger operators

Eric Cancès , Virginie Ehrlacher , David Gontier , Antoine Levitt , Damiano Lombardi

Numerische Mathematik, 2020, 144, pp.479-526. ⟨10.1007/s00211-019-01096-w⟩

Article dans une revue hal-01796582v1
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Fast semi-automatic segmentation based on reduced basis

Damiano Lombardi , Yvon Maday , Lydie Uro

Comptes Rendus. Mathématique, 2020, ⟨10.5802/crmath.89⟩

Article dans une revue hal-03013545v1
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Approximation of Optimal Transport problems with marginal moments constraints

Aurélien Alfonsi , Rafaël Coyaud , Virginie Ehrlacher , Damiano Lombardi

Mathematics of Computation, 2020, ⟨10.1090/mcom/3568⟩

Article dans une revue hal-02128374v1
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Composite biomarkers derived from Micro-Electrode Array measurements and computer simulations improve the classification of drug-induced channel block

Eliott Tixier , Fabien Raphel , Damiano Lombardi , Jean-Frédéric Gerbeau

Frontiers in Physiology, 2018, 8 (1096), pp.1-30. ⟨10.3389/fphys.2017.01096⟩

Article dans une revue hal-01570819v3
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A moment-matching method to study the variability of phenomena described by partial differential equations

Jean-Frédéric Gerbeau , Damiano Lombardi , Eliott Tixier

SIAM Journal on Scientific Computing, 2018, 40 (3)

Article dans une revue hal-01391254v1
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A dynamical adaptive tensor method for the Vlasov-Poisson system

Virginie Ehrlacher , Damiano Lombardi

Journal of Computational Physics, 2017, 319, pp.285-306. ⟨10.1016/j.jcp.2017.03.015⟩

Article dans une revue hal-01335507v1
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Modeling Variability in Cardiac Electrophysiology: A Moment Matching Approach

Eliott Tixier , Damiano Lombardi , Blanca Rodriguez , Jean-Frédéric Gerbeau

Journal of the Royal Society Interface, 2017, 14 (133), ⟨10.1098/rsif.2017.0238⟩

Article dans une revue hal-01570828v1
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A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems

Matteo Aletti , Damiano Lombardi

International Journal for Numerical Methods in Engineering, 2017

Article dans une revue hal-01396286v1
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A non-parametric k-nearest neighbor entropy estimator

Damiano Lombardi , Sanjay Pant

Physical Review E , 2016, ⟨10.1103/PhysRevE.93.013310⟩

Article dans une revue hal-01272527v1
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A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics

Matteo Aletti , Jean-Frédéric Gerbeau , Damiano Lombardi

Computer Methods in Applied Mechanics and Engineering, 2016, 306, pp.77-94. ⟨10.1016/j.cma.2016.03.044⟩

Article dans une revue hal-01296940v1
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Eulerian models and algorithms for unbalanced optimal transport

Damiano Lombardi , Emmanuel Maitre

ESAIM: Mathematical Modelling and Numerical Analysis, 2015, Special Issue - Optimal Transport, 49 (6), pp.1717-1744. ⟨10.1051/m2an/2015025⟩

Article dans une revue hal-00976501v3
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Reduced order model in cardiac electrophysiology with approximated Lax pairs

Jean-Frédéric Gerbeau , Damiano Lombardi , Elisa Schenone

Advances in Computational Mathematics, 2015, 41 (5), pp.1103-1130. ⟨10.1007/s10444-014-9393-9⟩

Article dans une revue hal-01093488v2
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Modeling autoregulation in three-dimensional simulations of retinal hemodynamics

Matteo Aletti , Jean-Frédéric Gerbeau , Damiano Lombardi

Journal for Modeling in Ophthalmology, 2015, 1

Article dans une revue hal-01242748v1
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An information-theoretic approach to assess practical identifiability of parametric dynamical systems

Sanjay Pant , Damiano Lombardi

Mathematical Biosciences, 2015, pp.66-79. ⟨10.1016/j.mbs.2015.08.005⟩

Article dans une revue hal-01099901v1

Advection modes by optimal mass transfer

Angelo Iollo , Damiano Lombardi

Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2014, 89, pp.022923. ⟨10.1103/PhysRevE.89.022923⟩

Article dans une revue hal-00992346v1
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Approximated Lax Pairs for the Reduced Order Integration of Nonlinear Evolution Equations

Jean-Frédéric Gerbeau , Damiano Lombardi

Journal of Computational Physics, 2014, 265, pp.246-269. ⟨10.1016/j.jcp.2014.01.047⟩

Article dans une revue hal-00933172v1

In vivo mathematical modeling of tumor growth from imaging data : soon to come in the future ?

Thierry Colin , Francois Cornelis , Olivier Saut , Patricio Cumsille , Damiano Lombardi et al.

Diagnostic and Interventional Imaging, 2013, pp.571-574

Article dans une revue hal-01038054v1

Inverse problems in 1D hemodynamics on systemic networks: a sequential approach

Damiano Lombardi

International Journal for Numerical Methods in Biomedical Engineering, 2013, ⟨10.1002/cnm.2596⟩

Article dans une revue istex hal-00860080v1

Prediction of the Evolution of Thyroidal Lung Nodules Using a Mathematical Model

Thierry Colin , Angelo Iollo , Damiano Lombardi , Olivier Saut

ERCIM News, 2012, 82, pp.37-38

Article dans une revue hal-01038030v1
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SYSTEM IDENTIFICATION IN TUMOR GROWTH MODELING USING SEMI-EMPIRICAL EIGENFUNCTIONS

Thierry Colin , Angelo Iollo , Damiano Lombardi , Olivier Saut

Mathematical Models and Methods in Applied Sciences, 2012, 22 (6), ⟨10.1142/s0218202512500030⟩

Article dans une revue hal-04485448v1

Inverse Problems in tumor growth modeling by means of semiempirical eigenfunctions

Damiano Lombardi , Angelo Iollo , Thierry Colin , Olivier Saut

Mathematical Models and Methods in Applied Sciences, 2012, pp.1

Article dans une revue hal-00664723v1
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A lagrangian scheme for the solution of the optimal mass transfer problem

Damiano Lombardi , Angelo Iollo

Journal of Computational Physics, 2011, 230 (9), pp.3430 - 3442. ⟨10.1016/j.jcp.2011.01.037⟩

Article dans une revue hal-04483431v1

A Lagrangian Scheme for the Solution of the Optimal Mass Transfer Problem

Damiano Lombardi , Angelo Iollo

Journal of Computational Physics, 2011, 230, pp.3430:3442

Article dans une revue hal-00664718v1

Parametric PDE solvers for parameter estimation and Uncertainty Quantification

Damiano Lombardi , Sébastien Riffaud , Miguel Angel Fernández

ENUMATH 2023 - European Conference on Numerical Mathematics and Advanced Applications, Istituto Tecnico Lisboa, Sep 2023, Lisboa, Portugal

Communication dans un congrès hal-04392378v1

An optimal recovery formulation of data assimilation in haemodynamics

Damiano Lombardi , Olga Mula , Felipe Galarce Marin

Data Assimilation, LJLL, Sorbonne Université, Nov 2023, Paris, France

Communication dans un congrès hal-04392385v1

Data assimilation problems in haemodynamics

Damiano Lombardi

BioPhysMed23 - Workshop on Biophysics-based modeling and data assimilation in medical imaging, WIAS, Berlin, Aug 2023, Berlin, Germany

Communication dans un congrès hal-04392374v1

Parametric PDEs solvers, uncertainty quantification and parameter estimation

Sébastien Riffaud , Damiano Lombardi , Miguel A Fernández

First International Conference Math 2 Product - M2P 2023, May 2023, Taormina, Italy

Communication dans un congrès hal-04012237v1

Lipschitz Stabilised Autoencoders in Parameter Identification of Dynamical Systems

Haibo Liu , Damiano Lombardi , Muriel Boulakia

10th International Congress on Industrial and Applied Mathematics (ICIAM 2023), Aug 2023, Tokyo, Japan

Communication dans un congrès hal-04398536v1

Wasserstein model reduction approach for parametrized flow problems in porous media

Beatrice Battisti , Tobias Blickhan , Guillaume Enchery , Virginie Ehrlacher , Damiano Lombardi et al.

CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems, Jul 2021, Luminy, France. pp.28-47, ⟨10.1051/proc/202373028⟩

Communication dans un congrès hal-04390131v1

Solving parametric PDEs via parsimonious discretizations: application to Uncertainty Quantification and Data Assimilation

Sébastien Riffaud , Damiano Lombardi , Miguel A Fernández

5th International Conference on Uncertainty Quantification in Computational Science and Engineering - UNCECOMP 2023, Jun 2023, Athens, Greece

Communication dans un congrès hal-04012274v1

Fluid-structure interaction calibration from 4D-flow MRI data

Muriel Boulakia , Miguel Angel Fernández , Damiano Lombardi , Mihai Nechita , Mocia Agbalessi

CFC 2023 - IACM Computational Fluids Conference, Apr 2023, Cannes, France

Communication dans un congrès hal-04397115v1

SoTT: a greedy construction of a sum of Tensor Trains

Damiano Lombardi , Virginie Ehrlacher , Maria Fuente-Ruiz

ICOSAHOM 2023 - International Conference on Spectral and High Order Methods, Yonsei University, Seoul, Aug 2023, Seoul, South Korea

Communication dans un congrès hal-04392369v1

Lipschitz Stabilised Autoencoders to Study the Intrinsic Dimensionality of Dynamical Systems and Build Data-driven Models

Haibo Liu , Damiano Lombardi , Muriel Boulakia

Math 2 Product (M2P): Emerging Technologies in Computational Science for Industry, Sustainability and Innovation, May 2023, Taormina, Italy

Communication dans un congrès hal-04398549v1
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Parametric solvers for simulation of blood flows

Miguel Angel Fernández , Damiano Lombardi , Sébastien Riffaud

CFC 2023 - IACM Computational Fluids Conference, Apr 2023, Cannes, France

Communication dans un congrès hal-04010559v1

Parametric FSI solvers for haemodynamics

Damiano Lombardi , Sébastien Riffaud , Miguel Angel Fernández

ICIAM 2023 - 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo, Aug 2023, Tokyo, Japan

Communication dans un congrès hal-04392371v1
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A low-rank tensor method for parameterized linear fluid-structure interaction problems

Sébastien Riffaud , Miguel Angel Fernández , Damiano Lombardi

CMBE 2022 - 7th International Conference on Computational and Mathematical Biomedical Engineering, Jun 2022, Milan, Italy

Communication dans un congrès hal-04010551v1
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Reconstruction of blood flows from Doppler images

Felipe Galarce , Jean-Frédéric Gerbeau , Damiano Lombardi , Olga Mula

14ème Colloque National en Calcul de Structures (CSMA 2019), CSMA, LEM3, MSME, Université de Lorraine, Arts et Métiers, CNRS, May 2019, Hyères, France

Communication dans un congrès hal-04824572v1
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A CUR Krylov Solver for Large-Scale Linear Matrix Equations

Saeed Akbari , Damiano Lombardi , Hessam Babaee

2025

Pré-publication, Document de travail hal-05347946v1
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Finite elements approximation of the boundary value problems of geodesics

Gaël Le Ruz , Damiano Lombardi

2025

Pré-publication, Document de travail hal-05354459v1
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Conformal variational discretisation of infinite dimensional Hamiltonian systems with gradient flow dissipation

Damiano Lombardi , Cecilia Pagliantini

2024

Pré-publication, Document de travail hal-04826188v2
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A non-linear manifold reduction based on ridge regression

Damiano Lombardi

2024

Pré-publication, Document de travail hal-04428826v1
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Preconditioners for multilinear problems arising in parametric Partial Differential Equations

Damiano Lombardi , Sébastien Riffaud

2024

Pré-publication, Document de travail hal-04428792v1
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Parameter identification through gradient flow on latent variables

Muriel Boulakia , Haibo Liu , Damiano Lombardi

2023

Pré-publication, Document de travail hal-04364114v2
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Wasserstein model reduction approach for parametrized flow problems in porous media

Beatrice Battisti , Tobias Blickhan , Guillaume Enchery , Virginie Ehrlacher , Damiano Lombardi et al.

2022

Pré-publication, Document de travail hal-03664061v1
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An extended Krylov-like method for the solution of multi-linear systems

Hussam Al Daas , Damiano Lombardi

2021

Pré-publication, Document de travail hal-03374966v1
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A greedy dimension reduction method for classification problems

Damiano Lombardi , Fabien Raphel

2019

Pré-publication, Document de travail hal-02280502v1
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How to choose biomarkers in view of parameter estimation

Jean-Frédéric Gerbeau , Damiano Lombardi , Eliott Tixier

2018

Pré-publication, Document de travail hal-01811158v1
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An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

Athmane Bakhta , Damiano Lombardi

2017

Pré-publication, Document de travail hal-01584180v1
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Approximated lax pairs and empirical interpolation for nonlinear parabolic partial differential equations

Jean-Frédéric Gerbeau , Damiano Lombardi , Elisa Schenone

2016

Pré-publication, Document de travail hal-01278778v1
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A non-parametric k-nearest neighbour entropy estimator

Damiano Lombardi , Sanjay Pant

2015

Pré-publication, Document de travail hal-01166056v1
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Advection Modes by Optimal Mass Transfer

Angelo Iollo , Damiano Lombardi

[Research Report] 2012, pp.33

Rapport (rapport de recherche) hal-00669693v1
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Reduced-Order Modeling based on Approximated Lax Pairs

Jean-Frédéric Gerbeau , Damiano Lombardi

[Research Report] RR-8137, INRIA. 2012, pp.21

Rapport (rapport de recherche) hal-00752810v1