Damiano Lombardi

Publications

Article dans une revue (40)

Mathematical modeling of photoplethysmography: model assessment and validation Adrien Lefieux,Justine Daraize,Fabien Vergnet,Marina Vidrascu,Marie Willemetet al. Cardiovascular Engineering and Technology, inPress Article dans une revue hal-05134478v3
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 Gunset al. Cardiovascular Engineering and Technology, 2025, ⟨10.1007/s13239-025-00796-9⟩ Article dans une revue hal-04597238v3
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
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
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 Bernasconiet al. ESAIM: Proceedings and Surveys, 2023, 73, ⟨10.1051/proc/202373002⟩ Article dans une revue hal-03933957v2
Tracking of blood vessels motion from 4D-flow MRI data Mocia Agbalessi,Alain Lalande,Olivier Bouchot,Toshiyuki Hayase,Jean-Joseph Christopheet al. Cardiovascular Engineering and Technology, 2023, 14, pp.577-604. ⟨10.1007/s13239-023-00677-z⟩ Article dans une revue hal-03349442v3
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
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
Artificial Neural Network Comparison on hERG Channel Blockade Detection Haibo Liu,Tessa de Korte,Sylvain Bernasconi,Christophe Bleunven,Damiano Lombardiet al. International Journal of Computer Applications, 2022, 184 (14), ⟨10.5120/ijca2022922119⟩ Article dans une revue hal-03934224v1
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
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
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
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
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 Lombardiet 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
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 Dabertrandet 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 Lombardiet 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
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
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

Communication dans un congrès (14)

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 Lombardiet 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
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
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
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

Poster de conférence (1)

An in silico approach to monitor and predict haemodynamics during safety pharmacology studies Sara Costa Faya,Marloes Coolen,Callan Wesley,Marina Vidrascu,Pieter-Jan Gunset al. SPS Annual Meeting, Sep 2023, Brussels, Belgium Poster de conférence hal-04394917v1

Chapitre d'ouvrage (3)

Reduced order modelling for direct and inverse problems in haemodynamics Damiano Lombardi ROMs for the Biomechanics of Living Organs, In press Chapitre d'ouvrage hal-03783921v1
Reduced Order Models at work Michel Bergmann,Thierry Colin,Angelo Iollo,Damiano Lombardi,Olivier Sautet al. Quarteroni, Alfio. Modeling, Simulation and Applications, 9, Springer, 2013 Chapitre d'ouvrage hal-00906908v1
Some models for the prediction of tumor growth: general framework and applications to metastases in the lung Damiano Lombardi,Thierry Colin,Angelo Iollo,Olivier Saut,Françoise Bonichonet al. Computational Surgery, Springer, pp.1, 2012 Chapitre d'ouvrage hal-00664725v1

Pré-publication, Document de travail (13)

A CUR Krylov Solver for Large-Scale Linear Matrix Equations Saeed Akbari,Damiano Lombardi,Hessam Babaee 2025 Pré-publication, Document de travail hal-05347946v1
Finite elements approximation of the boundary value problems of geodesics Gaël Le Ruz,Damiano Lombardi 2025 Pré-publication, Document de travail hal-05354459v1
Conformal variational discretisation of infinite dimensional Hamiltonian systems with gradient flow dissipation Damiano Lombardi,Cecilia Pagliantini 2024 Pré-publication, Document de travail hal-04826188v2
A non-linear manifold reduction based on ridge regression Damiano Lombardi 2024 Pré-publication, Document de travail hal-04428826v1
Preconditioners for multilinear problems arising in parametric Partial Differential Equations Damiano Lombardi,Sébastien Riffaud 2024 Pré-publication, Document de travail hal-04428792v1
Parameter identification through gradient flow on latent variables Muriel Boulakia,Haibo Liu,Damiano Lombardi 2023 Pré-publication, Document de travail hal-04364114v2
Wasserstein model reduction approach for parametrized flow problems in porous media Beatrice Battisti,Tobias Blickhan,Guillaume Enchery,Virginie Ehrlacher,Damiano Lombardiet al. 2022 Pré-publication, Document de travail hal-03664061v1
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
A greedy dimension reduction method for classification problems Damiano Lombardi,Fabien Raphel 2019 Pré-publication, Document de travail hal-02280502v1
How to choose biomarkers in view of parameter estimation Jean-Frédéric Gerbeau,Damiano Lombardi,Eliott Tixier 2018 Pré-publication, Document de travail hal-01811158v1
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
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
A non-parametric k-nearest neighbour entropy estimator Damiano Lombardi,Sanjay Pant 2015 Pré-publication, Document de travail hal-01166056v1

Rapport (2)

Advection Modes by Optimal Mass Transfer Angelo Iollo,Damiano Lombardi [Research Report] 2012, pp.33 Rapport (rapport de recherche) hal-00669693v1
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

HDR (1)

Contributions to scientific computing for data-simulation interaction in biomedical applications Damiano Lombardi Modeling and Simulation. Sorbonne Université, 2020 HDR tel-03114756v1