Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients F Calabrò, G Fabiani, C Siettos Computer Methods in Applied Mechanics and Engineering 387, 114188, 2021 | 41 | 2021 |

Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines G Fabiani, F Calabrò, L Russo, C Siettos Journal of Scientific Computing 89 (44), 2021 | 33 | 2021 |

Numerical bifurcation analysis of pdes from lattice Boltzmann model simulations: a parsimonious machine learning approach E Galaris, G Fabiani, I Gallos, I Kevrekidis, C Siettos Journal of Scientific Computing 92 (2), 34, 2022 | 20 | 2022 |

Parsimonious physics-informed random projection neural networks for initial value problems of ODEs and index-1 DAEs G Fabiani, E Galaris, L Russo, C Siettos Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (4), 2023 | 12 | 2023 |

Tasks makyth models: Machine learning assisted surrogates for tipping points G Fabiani, N Evangelou, T Cui, JM Bello-Rivas, CP Martin-Linares, ... arXiv preprint arXiv:2309.14334, 2023 | 3 | 2023 |

Slow invariant manifolds of singularly perturbed systems via physics-informed machine learning DG Patsatzis, G Fabiani, L Russo, C Siettos arXiv preprint arXiv:2309.07946, 2023 | 3 | 2023 |

Discrete-time nonlinear feedback linearization via physics-informed machine learning H Vargas Alvarez, G Fabiani, N Kazantzis, C Siettos, IG Kevrekidis Journal of Computational Physics 492, 112408, 2023 | 2 | 2023 |

Numerical solution of stiff ODEs with physics-informed RPNNs E Galaris, G Fabiani, F Calabrò, D di Serafino, C Siettos arXiv preprint arXiv:2108.01584, 2021 | 1 | 2021 |

Nonlinear Discrete-Time Observers with Physics-Informed Neural Networks HV Alvarez, G Fabiani, IG Kevrekidis, N Kazantzis, C Siettos arXiv preprint arXiv:2402.12360, 2024 | | 2024 |

Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications G Fabiani arXiv preprint arXiv:2402.11397, 2024 | | 2024 |

Data-Driven Bifurcation Diagrams for Neural (Integro-) Differential Equations G Fabiani, N Evangelou, T Cui, DG Giovanis, IG Kevrekidis 2023 AIChE Annual Meeting, 2023 | | 2023 |

Tipping points in overturning circulation mediated by ocean mixing and the configuration and magnitude of the hydrological cycle: A simple model A Gnanadesikan, G Fabiani, J Liu, R Gelderloos, GJ Brett, Y Kevrekidis, ... arXiv preprint arXiv:2308.03951, 2023 | | 2023 |

Machine Learning-Based Coarse-Scale Identification and Bifurcation Analysis for Modelling Tipping Points: a Financial Market Agent-Based Illustration G Fabiani, N Evangelou, T Cui, JM Bello-Rivas, C Martinez-Linares, ... AAAI 2023 Spring Symposium Series ACTD Submission, 2023 | | 2023 |

Numerical solution of stiff ODEs and DAEs with Adaptive Physics-Informed Random Projection Neural Networks G Fabiani, L Russo, C Siettos Numerical Computations: Theory and Algorithms NUMTA 2023, 94, 2023 | | 2023 |

Numerical Approximation of Invariant Manifolds for Singularly Perturbed Systems with Machine Learning D Patsatzis, G Fabiani, L Russo, C Siettos Numerical Computations: Theory and Algorithms NUMTA 2023, 162, 2023 | | 2023 |

Modeling Tipping Points in the Reduced-Order Stochastic Dynamics of a Population of Interacting Agents CM Linares, T Cui, G Fabiani, N Evangelou, C Siettos, IG Kevrekidis 2022 AIChE Annual Meeting, 2022 | | 2022 |

Constructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach E Galaris, G Fabiani, I Gallos, I Kevrekidis, C Siettos arXiv preprint arXiv:2201.13323, 2022 | | 2022 |