Damiano Lombardi

Documents

Publications

	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, In press Article dans une revue hal-03908682v2
	Tracking of blood vessels motion from 4D-flow MRI data Mocia Agbalessi , Alain Lalande , Olivier Bouchot , Toshiyuki Hayase , Jean-Joseph Christophe Cardiovascular Engineering and Technology, 2023, 14, pp.577-604. ⟨10.1007/s13239-023-00677-z⟩ Article dans une revue hal-03349442v3
	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
	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
	Artificial Neural Network Comparison on hERG Channel Blockade Detection Haibo Liu , Tessa de Korte , Sylvain Bernasconi , Christophe Bleunven , Damiano Lombardi International Journal of Computer Applications, 2022 Article dans une revue hal-03934224v1
	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
	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 Article dans une revue hal-03187110v1
	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
	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
	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 IEEE Journal of Biomedical and Health Informatics, inPress, ⟨10.1109/JBHI.2020.2984647⟩ Article dans une revue hal-02532554v1
	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
	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 Circulation, 2020, 141 (25), pp.2078-2094. ⟨10.1161/CIRCULATIONAHA.119.040963⟩ Article dans une revue inserm-02511921v1
	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
	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
	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
	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
	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 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 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
	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
	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
	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
	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
	Advection modes by optimal mass transfer Angelo Iollo , Damiano Lombardi Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 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
	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 hal-00860080v1
	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 Diagnostic and Interventional Imaging, 2013, pp.571-574 Article dans une revue hal-01038054v1
	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
	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
	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

	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 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
	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
	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
	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
	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
	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
	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
	Wasserstein model reduction approach for parametrized flow problems in porous media Beatrice Battisti , Tobias Blickhan , Guillaume Enchery , Virginie Ehrlacher , Damiano Lombardi 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

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

	Reduced order modelling for direct and inverse problems in haemodynamics Damiano Lombardi ROMs for the Biomechanics of Living Organs, inPress Chapitre d'ouvrage hal-03783921v1
	Reduced Order Models at work Michel Bergmann , Thierry Colin , Angelo Iollo , Damiano Lombardi , Olivier Saut 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 Bonichon Computational Surgery, Springer, pp.1, 2012 Chapitre d'ouvrage hal-00664725v1

	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-04364114v1
	Wasserstein model reduction approach for parametrized flow problems in porous media Beatrice Battisti , Tobias Blickhan , Guillaume Enchery , Virginie Ehrlacher , Damiano Lombardi 2022 Pré-publication, Document de travail hal-03664061v1
	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 2022 Pré-publication, Document de travail hal-03933957v1
	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

	Advection Modes by Optimal Mass Transfer Angelo Iollo , Damiano Lombardi [Research Report] 2012, pp.33 Rapport hal-00669693v1
	Reduced-Order Modeling based on Approximated Lax Pairs Jean-Frédéric Gerbeau , Damiano Lombardi [Research Report] RR-8137, INRIA. 2012, pp.21 Rapport hal-00752810v1

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

Damiano Lombardi

Publications

A low-rank solver for parameter estimation and uncertainty quantification in linear time dependent systems of Partial Differential Equations

Tracking of blood vessels motion from 4D-flow MRI data

State estimation in nonlinear parametric time dependent systems using Tensor Train

SoTT: greedy approximation of a tensor as a sum of Tensor Trains

Artificial Neural Network Comparison on hERG Channel Blockade Detection

Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models

An information-theoretic framework for optimal design: analysis of protocols for estimating soft tissue parameters in biaxial experiments

Adaptive hierarchical subtensor partitioning for tensor compression

A method to enrich experimental datasets by means of numerical simulations in view of classification tasks

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

Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Reducing Hypermuscularization of the Transitional Segment between Arterioles and Capillaries Protects Against Spontaneous Intracerebral Hemorrhage

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

Fast semi-automatic segmentation based on reduced basis

Approximation of Optimal Transport problems with marginal moments constraints

Numerical quadrature in the Brillouin zone for periodic Schrödinger operators

A moment-matching method to study the variability of phenomena described by partial differential equations

Composite biomarkers derived from Micro-Electrode Array measurements and computer simulations improve the classification of drug-induced channel block

A dynamical adaptive tensor method for the Vlasov-Poisson system

Modeling Variability in Cardiac Electrophysiology: A Moment Matching Approach

A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems

A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics

A non-parametric k-nearest neighbor entropy estimator

Eulerian models and algorithms for unbalanced optimal transport

Modeling autoregulation in three-dimensional simulations of retinal hemodynamics

An information-theoretic approach to assess practical identifiability of parametric dynamical systems

Reduced order model in cardiac electrophysiology with approximated Lax pairs

Advection modes by optimal mass transfer

Approximated Lax Pairs for the Reduced Order Integration of Nonlinear Evolution Equations

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

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

Inverse Problems in tumor growth modeling by means of semiempirical eigenfunctions

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

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

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

SoTT: a greedy construction of a sum of Tensor Trains

Lipschitz Stabilised Autoencoders in Parameter Identification of Dynamical Systems

Parametric PDE solvers for parameter estimation and Uncertainty Quantification

An optimal recovery formulation of data assimilation in haemodynamics

Data assimilation problems in haemodynamics

Parametric PDEs solvers, uncertainty quantification and parameter estimation

Parametric FSI solvers for haemodynamics

Parametric solvers for simulation of blood flows

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

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

A low-rank tensor method for parameterized linear fluid-structure interaction problems

Wasserstein model reduction approach for parametrized flow problems in porous media

An in silico approach to monitor and predict haemodynamics during safety pharmacology studies

Reduced order modelling for direct and inverse problems in haemodynamics

Reduced Order Models at work

Some models for the prediction of tumor growth: general framework and applications to metastases in the lung

A non-linear manifold reduction based on ridge regression

Preconditioners for multilinear problems arising in parametric Partial Differential Equations

Parameter identification through gradient flow on latent variables

Wasserstein model reduction approach for parametrized flow problems in porous media

Comparison of statistical, machine learning, and mathematical modelling methods to investigate the effect of ageing on dog's cardiovascular system

An extended Krylov-like method for the solution of multi-linear systems

A greedy dimension reduction method for classification problems

How to choose biomarkers in view of parameter estimation

An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

Approximated lax pairs and empirical interpolation for nonlinear parabolic partial differential equations

A non-parametric k-nearest neighbour entropy estimator

Advection Modes by Optimal Mass Transfer

Reduced-Order Modeling based on Approximated Lax Pairs

Contributions to scientific computing for data-simulation interaction in biomedical applications