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Gianluca Fabiani
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2020 – today
- 2024
- [j4]Dimitrios G. Patsatzis
, Gianluca Fabiani
, Lucia Russo
, Constantinos I. Siettos
:
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning. SIAM J. Sci. Comput. 46(4): 297- (2024) - [i10]Gianluca Fabiani
:
Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications. CoRR abs/2402.11397 (2024) - [i9]Hector Vargas Alvarez, Gianluca Fabiani, Ioannis G. Kevrekidis, Nikolaos Kazantzis, Constantinos I. Siettos:
Nonlinear Discrete-Time Observers with Physics-Informed Neural Networks. CoRR abs/2402.12360 (2024) - [i8]Gianluca Fabiani, Ioannis G. Kevrekidis, Constantinos I. Siettos, Athanasios N. Yannacopoulos:
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators. CoRR abs/2406.05470 (2024) - 2023
- [j3]Hector Vargas Alvarez, Gianluca Fabiani
, Nikolaos Kazantzis, Constantinos I. Siettos
, Ioannis G. Kevrekidis:
Discrete-time nonlinear feedback linearization via physics-informed machine learning. J. Comput. Phys. 492: 112408 (2023) - [i7]Hector Vargas Alvarez, Gianluca Fabiani
, Nikolaos Kazantzis, Constantinos I. Siettos, Ioannis G. Kevrekidis:
Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning. CoRR abs/2303.08884 (2023) - [i6]Dimitrios G. Patsatzis, Gianluca Fabiani
, Lucia Russo, Constantinos I. Siettos:
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning. CoRR abs/2309.07946 (2023) - [i5]Gianluca Fabiani
, Nikolaos Evangelou, Tianqi Cui, Juan M. Bello-Rivas, Cristina P. Martin-Linares, Constantinos I. Siettos, Ioannis G. Kevrekidis:
Tasks Makyth Models: Machine Learning Assisted Surrogates for Tipping Points. CoRR abs/2309.14334 (2023) - 2022
- [j2]Evangelos Galaris, Gianluca Fabiani
, Ioannis Gallos
, Ioannis G. Kevrekidis, Constantinos I. Siettos
:
Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach. J. Sci. Comput. 92(2): 34 (2022) - [i4]Evangelos Galaris, Gianluca Fabiani, Ioannis Gallos, Ioannis G. Kevrekidis, Constantinos I. Siettos:
Constructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach. CoRR abs/2201.13323 (2022) - [i3]Gianluca Fabiani, Evangelos Galaris, Lucia Russo, Constantinos I. Siettos:
Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs. CoRR abs/2203.05337 (2022) - 2021
- [j1]Gianluca Fabiani
, Francesco Calabrò
, Lucia Russo, Constantinos I. Siettos
:
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines. J. Sci. Comput. 89(2): 44 (2021) - [i2]Gianluca Fabiani
, Francesco Calabrò, Lucia Russo, Constantinos I. Siettos:
Numerical Solution and Bifurcation Analysis of Nonlinear Partial Differential Equations with Extreme Learning Machines. CoRR abs/2104.06116 (2021) - 2020
- [i1]Francesco Calabrò, Gianluca Fabiani
, Constantinos I. Siettos:
Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients. CoRR abs/2012.05871 (2020)
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