Fabio Nobile

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 59

Top Topics

Error Estimates

Relevance Vector Machines

Low Rank Approximation

Top Venues

SIAM/ASA J. Uncertain. Quantification

Numerische Mathematik

J. Comput. Phys.

Publications

Fabio Nobile, Tommaso Vanzan
Multilevel quadrature formulae for the optimal control of random PDEs. CoRR (2024)
Fabio Nobile, Thomas Trigo Trindade
Petrov-Galerkin Dynamical Low Rank Approximation:SUPG stabilisation of advection-dominated problems. CoRR (2024)
Fabio Nobile, Thomas Trigo Trindade
Error estimates for SUPG-stabilised Dynamical Low Rank Approximations. CoRR (2024)
Fabio Nobile, Tommaso Vanzan
A Combination Technique for Optimal Control Problems Constrained by Random PDEs. SIAM/ASA J. Uncertain. Quantification 12 (2) (2024)
Juan P. Madrigal-Cianci, Fabio Nobile, Raúl Tempone
Analysis of a Class of Multilevel Markov Chain Monte Carlo Algorithms Based on Independent Metropolis-Hastings. SIAM/ASA J. Uncertain. Quantification 11 (1) (2023)
Gabriele Ciaramella, Fabio Nobile, Tommaso Vanzan
A multigrid method for PDE-constrained optimization with uncertain inputs. CoRR (2023)
Fabio Nobile, Tommaso Vanzan
Preconditioners for robust optimal control problems under uncertainty. Numer. Linear Algebra Appl. 30 (2) (2023)
Sundar Ganesh, Fabio Nobile
Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method. J. Comput. Phys. 495 (2023)
Yoshihito Kazashi, Fabio Nobile, Fabio Zoccolan
Dynamically Orthogonal Approximation for Stochastic Differential Equations. CoRR (2023)
Yoshihito Kazashi, Fabio Nobile
Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions. SIAM J. Numer. Anal. 61 (2) (2023)
Pål Forr Austnes, Celia García-Pareja, Fabio Nobile, Mario Paolone
Probabilistic Load Forecasting of Distribution Power Systems based on Empirical Copulas. CoRR (2023)
Marcus J. Grote, Simon Michel, Fabio Nobile
Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation. SIAM/ASA J. Uncertain. Quantification 10 (4) (2022)
Sundar Ganesh, Fabio Nobile
Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method. CoRR (2022)
Quentin Ayoul-Guilmard, Sundar Ganesh, Sebastian Krumscheid, Fabio Nobile
Quantifying uncertain system outputs via the multi-level Monte Carlo method - distribution and robustness measures. CoRR (2022)
Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Numerische Mathematik 150 (1) (2022)
Giovanni Migliorati, Fabio Nobile
Stable high-order randomized cubature formulae in arbitrary dimension. J. Approx. Theory 275 (2022)
Christian Vergara, Simone Stella, Massimiliano Maines, Pasquale Claudio Africa, Domenico Catanzariti, Cristina Demattè, Maurizio Centonze, Fabio Nobile, Alfio Quarteroni, Maurizio Del Greco
Computational electrophysiology of the coronary sinus branches based on electro-anatomical mapping for the prediction of the latest activated region. Medical Biol. Eng. Comput. 60 (8) (2022)
Fabio Nobile, Tommaso Vanzan
A combination technique for optimal control problems constrained by random PDEs. CoRR (2022)
Yoshihito Kazashi, Fabio Nobile, Eva Vidlicková
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. Numerische Mathematik 149 (4) (2021)
Juan Pablo Madrigal-Cianci, Fabio Nobile, Raúl Tempone
Analysis of a class of Multi-Level Markov Chain Monte Carlo algorithms based on Independent Metropolis-Hastings. CoRR (2021)
Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens
Function integration, reconstruction and approximation using rank-1 lattices. Math. Comput. 90 (330) (2021)
Marcus J. Grote, Simon Michel, Fabio Nobile
Uncertainty Quantification by MLMC and Local Time-stepping For Wave Propagation. CoRR (2021)
Matthieu Martin, Fabio Nobile
PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA. SIAM/ASA J. Uncertain. Quantification 9 (3) (2021)
Julio Enrique Castrillón-Candás, Fabio Nobile, Raúl Tempone
A hybrid collocation-perturbation approach for PDEs with random domains. Adv. Comput. Math. 47 (3) (2021)
Alexey Chernov, Håkon Hoel, Kody J. H. Law, Fabio Nobile, Raúl Tempone
Multilevel ensemble Kalman filtering for spatio-temporal processes. Numerische Mathematik 147 (1) (2021)
Fabio Nobile, Tommaso Vanzan
Preconditioners for robust optimal control problems under uncertainty. CoRR (2021)
Simone Stella, Christian Vergara, Massimiliano Maines, Domenico Catanzariti, Pasquale Claudio Africa, Cristina Demattè, Maurizio Centonze, Fabio Nobile, Maurizio Del Greco, Alfio Quarteroni
Integration of activation maps of epicardial veins in computational cardiac electrophysiology. CoRR (2021)
Jonas Latz, Juan P. Madrigal-Cianci, Fabio Nobile, Raúl Tempone
Generalized parallel tempering on Bayesian inverse problems. Stat. Comput. 31 (5) (2021)
Yoshihito Kazashi, Fabio Nobile
Density estimation in RKHS with application to Korobov spaces in high dimensions. CoRR (2021)
Yoshihito Kazashi, Fabio Nobile, Eva Vidlicková
Stability properties of a projector-splitting scheme for the dynamical low rank approximation of random parabolic equations. CoRR (2020)
Simone Stella, Christian Vergara, Massimiliano Maines, Domenico Catanzariti, Pasquale Claudio Africa, Cristina Demattè, Maurizio Centonze, Fabio Nobile, Maurizio Del Greco, Alfio Quarteroni
Integration of activation maps of epicardial veins in computational cardiac electrophysiology. Comput. Biol. Medicine 127 (2020)
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps. Adv. Comput. Math. 46 (3) (2020)
Jonas Latz, Juan P. Madrigal-Cianci, Fabio Nobile, Raúl Tempone
Generalized Parallel Tempering on Bayesian Inverse Problems. CoRR (2020)
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia, Davide Pradovera
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure. Math. Comput. 89 (323) (2020)
Francesca Bonizzoni, Fabio Nobile
Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem. Comput. Math. Appl. 80 (12) (2020)
Fabio Nobile, Davide Pradovera
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. CoRR (2020)
Francesca Bonizzoni, Fabio Nobile
Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem. CoRR (2020)
Yoshihito Kazashi, Fabio Nobile
Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. CoRR (2020)
Sebastian Krumscheid, Fabio Nobile, M. Pisaroni
Quantifying uncertain system outputs via the multilevel Monte Carlo method - Part I: Central moment estimation. J. Comput. Phys. 414 (2020)
Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. CoRR (2020)
Panagiotis Tsilifis, Iason Papaioannou, Daniel Straub, Fabio Nobile
Sparse Polynomial Chaos expansions using variational relevance vector machines. J. Comput. Phys. 416 (2020)
Eleonora Arnone, Laura Azzimonti, Fabio Nobile, Laura M. Sangalli
Modeling spatially dependent functional data via regression with differential regularization. J. Multivar. Anal. 170 (2019)
Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens
Function integration, reconstruction and approximation using rank-1 lattices. CoRR (2019)
Panagiotis Tsilifis, Iason Papaioannou, Daniel Straub, Fabio Nobile
Sparse Polynomial Chaos expansions using Variational Relevance Vector Machines. CoRR (2019)
Fabio Nobile, Raúl Tempone, Sören Wolfers
Sparse approximation of multilinear problems with applications to kernel-based methods in UQ. Numerische Mathematik 139 (1) (2018)
Diane Guignard, Fabio Nobile
A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method. SIAM J. Numer. Anal. 56 (5) (2018)
Sebastian Krumscheid, Fabio Nobile
Multilevel Monte Carlo Approximation of Functions. SIAM/ASA J. Uncertain. Quantification 6 (3) (2018)
Simone Brugiapaglia, Fabio Nobile, Stefano Micheletti, Simona Perotto
A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems. Math. Comput. 87 (309) (2018)
Eleonora Musharbash, Fabio Nobile
Dual Dynamically Orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions. J. Comput. Phys. 354 (2018)
Julio Enrique Castrillón-Candás, Fabio Nobile, Raúl Tempone
Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations. Comput. Math. Appl. 71 (6) (2016)
Abdul-Lateef Haji-Ali, Fabio Nobile, Raúl Tempone
Multi-index Monte Carlo: when sparsity meets sampling. Numerische Mathematik 132 (4) (2016)
Abdul-Lateef Haji-Ali, Fabio Nobile, Lorenzo Tamellini, Raúl Tempone
Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity. Found. Comput. Math. 16 (6) (2016)
Fabio Nobile, Lorenzo Tamellini, Raúl Tempone
Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs. Numerische Mathematik 134 (2) (2016)
Giovanni Migliorati, Fabio Nobile
Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets. J. Complex. 31 (4) (2015)
Simone Palamara, Christian Vergara, Elena Faggiano, Fabio Nobile
An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology. J. Comput. Phys. 283 (2015)
Mohammad Motamed, Fabio Nobile, Raúl Tempone
Analysis and computation of the elastic wave equation with random coefficients. Comput. Math. Appl. 70 (10) (2015)
Giovanni Migliorati, Fabio Nobile, Raúl Tempone
Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points. J. Multivar. Anal. 142 (2015)
Daniel Kressner, Rajesh Kumar, Fabio Nobile, Christine Tobler
Low-Rank Tensor Approximation for High-Order Correlation Functions of Gaussian Random Fields. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
Eleonora Musharbash, Fabio Nobile, T. Zhou
Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs. SIAM J. Sci. Comput. 37 (2) (2015)
Christian Vergara, Simone Palamara, Domenico Catanzariti, Fabio Nobile, Elena Faggiano, Cesarino Pangrazzi, Maurizio Centonze, Massimiliano Maines, Alfio Quarteroni, Giuseppe Vergara
Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation. Medical Biol. Eng. Comput. 52 (10) (2014)
Laura Azzimonti, Fabio Nobile, Laura M. Sangalli, Piercesare Secchi
Mixed Finite Elements for Spatial Regression with PDE Penalization. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
Fabio Nobile, Matteo Pozzoli, Christian Vergara
Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. J. Comput. Phys. 273 (2014)
Francesca Bonizzoni, Fabio Nobile
Perturbation Analysis for the Darcy Problem with Log-Normal Permeability. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
Giovanni Migliorati, Fabio Nobile, Erik von Schwerin, Raúl Tempone
Projection on Polynomial Spaces with Random Evaluations. Found. Comput. Math. 14 (3) (2014)
Joakim Beck, Fabio Nobile, Lorenzo Tamellini, Raúl Tempone
Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients. Comput. Math. Appl. 67 (4) (2014)
Giovanni Migliorati, Fabio Nobile, Erik von Schwerin, Raúl Tempone
Projection on Polynomial Spaces. SIAM J. Sci. Comput. 35 (3) (2013)
Mohammad Motamed, Fabio Nobile, Raúl Tempone
A stochastic collocation method for the second order wave equation with a discontinuous random speed. Numerische Mathematik 123 (3) (2013)
D. Ambrosi, Gianni Arioli, Fabio Nobile, Alfio Quarteroni
Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach. SIAM J. Appl. Math. 71 (2) (2011)
Luca Gerardo-Giorda, Fabio Nobile, Christian Vergara
Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems. SIAM J. Numer. Anal. 48 (6) (2010)
Ivo Babuska, Fabio Nobile, Raúl Tempone
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data. SIAM Rev. 52 (2) (2010)
Fabio Nobile
Coupling strategies for the numerical simulation of blood flow in deformable arteries by 3D and 1D models. Math. Comput. Model. 49 (11-12) (2009)
Luca Gerardo-Giorda, L. Mirabella, Fabio Nobile, Mauro Perego, Alessandro Veneziani
A model-based block-triangular preconditioner for the Bidomain system in electrocardiology. J. Comput. Phys. 228 (10) (2009)
Fabio Nobile, Raúl Tempone, Clayton G. Webster
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. SIAM J. Numer. Anal. 46 (5) (2008)
Santiago Badia, Fabio Nobile, Christian Vergara
Fluid-structure partitioned procedures based on Robin transmission conditions. J. Comput. Phys. 227 (14) (2008)
Fabio Nobile, Raúl Tempone, Clayton G. Webster
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. SIAM J. Numer. Anal. 46 (5) (2008)
Fabio Nobile, Christian Vergara
An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions. SIAM J. Sci. Comput. 30 (2) (2008)
Ivo Babuska, Fabio Nobile, Raúl Tempone
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data. SIAM J. Numer. Anal. 45 (3) (2007)
Ivo Babuska, Fabio Nobile, Raúl Tempone
Worst case scenario analysis for elliptic problems with uncertainty. Numerische Mathematik 101 (2) (2005)
J. Tinsley Oden, James C. Browne, Ivo Babuska, Chandrajit L. Bajaj, Leszek F. Demkowicz, L. Gray, Jon Bass, Yusheng Feng, Serge Prudhomme, Fabio Nobile, Raúl Tempone
A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations. International Conference on Computational Science (2004)
Luca Formaggia, Jean-Frédéric Gerbeau, Fabio Nobile, Alfio Quarteroni
Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations. SIAM J. Numer. Anal. 40 (1) (2002)