Gianluca Fabiani

Publication Activity (10 Years)

Years Active: 2020-2024
Publications (10 Years): 14

Top Topics

Numerical Solution

Random Projections

Top Venues

J. Sci. Comput.

J. Comput. Phys.

SIAM J. Sci. Comput.

Publications

Gianluca Fabiani, Ioannis G. Kevrekidis, Constantinos I. Siettos, Athanasios N. Yannacopoulos
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators. CoRR (2024)
Hector Vargas Alvarez, Gianluca Fabiani, Ioannis G. Kevrekidis, Nikolaos Kazantzis, Constantinos I. Siettos
Nonlinear Discrete-Time Observers with Physics-Informed Neural Networks. CoRR (2024)
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) (2024)
Gianluca Fabiani
Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications. CoRR (2024)
Hector Vargas Alvarez, Gianluca Fabiani, Nikolaos Kazantzis, Constantinos I. Siettos, Ioannis G. Kevrekidis
Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning. CoRR (2023)
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 (2023)
Dimitrios G. Patsatzis, Gianluca Fabiani, Lucia Russo, Constantinos I. Siettos
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning. CoRR (2023)
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 (2023)
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) (2022)
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 (2022)
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 (2022)
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) (2021)
Gianluca Fabiani, Francesco Calabrò, Lucia Russo, Constantinos I. Siettos
Numerical Solution and Bifurcation Analysis of Nonlinear Partial Differential Equations with Extreme Learning Machines. CoRR (2021)
Francesco Calabrò, Gianluca Fabiani, Constantinos I. Siettos
Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients. CoRR (2020)