RandONet: Shallow-Networks with Random Projections for learning linear
and nonlinear operators

RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators

8 June 2024

Gianluca Fabiani

Ioannis G. Kevrekidis

Constantinos Siettos

A. Yannacopoulos

Papers citing "RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators"

8 / 8 papers shown

Title
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis Gianluca Fabiani H. Vandecasteele S. Goswami Constantinos Siettos Ioannis G. Kevrekidis 68 0 0 05 May 2025
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning Hyperbolic Conservation Laws Dimitrios G. Patsatzis Mario di Bernardo L. Russo Constantinos Siettos AI4CE 31 1 0 29 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 22 2 0 04 Oct 2024
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations Gianluca Fabiani Erik Bollt Constantinos Siettos A. Yannacopoulos 28 0 0 27 Aug 2024
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology Mario De Florio Zongren Zou Daniele E. Schiavazzi George Karniadakis 26 3 0 13 Aug 2024
Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning Hector Vargas Alvarez Gianluca Fabiani Nikolaos K. Kazantzis Constantinos Siettos Ioannis G. Kevrekidis 16 6 0 15 Mar 2023
Constructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach Evangelos Galaris Gianluca Fabiani I. Gallos Ioannis G. Kevrekidis Constantinos Siettos AI4CE 19 40 0 31 Jan 2022
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 203 2,272 0 18 Oct 2020