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Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs
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Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs

Gianluca Fabiani
Evangelos Galaris
L. Russo
Constantinos Siettos
ArXiv (abs)PDFHTML

Papers citing "Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs"

8 / 8 papers shown
Title
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis
Gianluca Fabiani
H. Vandecasteele
S. Goswami
Constantinos Siettos
Ioannis G. Kevrekidis
455
1
0
05 May 2025
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations
Gianluca Fabiani
Erik Bollt
Constantinos Siettos
A. Yannacopoulos
67
1
0
27 Aug 2024
Parallel-in-Time Solutions with Random Projection Neural Networks
Parallel-in-Time Solutions with Random Projection Neural Networks
M. Betcke
L. Kreusser
Davide Murari
62
1
0
19 Aug 2024
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology
Mario De Florio
Zongren Zou
Daniele E. Schiavazzi
George Karniadakis
56
4
0
13 Aug 2024
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators
Gianluca Fabiani
Ioannis G. Kevrekidis
Constantinos Siettos
A. Yannacopoulos
104
13
0
08 Jun 2024
AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identification
AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identification
Nazanin Ahmadi Daryakenari
Mario De Florio
K. Shukla
George Karniadakis
99
34
0
29 Sep 2023
An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions
An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions
Yiran Wang
Suchuan Dong
88
37
0
13 Sep 2023
Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning
Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning
Hector Vargas Alvarez
Gianluca Fabiani
Nikolaos K. Kazantzis
Constantinos Siettos
Ioannis G. Kevrekidis
44
6
0
15 Mar 2023

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