Coarse-scale PDEs from fine-scale observations via machine learning

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Coarse-scale PDEs from fine-scale observations via machine learning

12 September 2019

Constantinos Siettos

Ioannis G. Kevrekidis

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Papers citing "Coarse-scale PDEs from fine-scale observations via machine learning"

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Title
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis Gianluca Fabiani H. Vandecasteele S. Goswami Constantinos Siettos Ioannis G. Kevrekidis 453 1 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 50 2 0 29 Oct 2024
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator Xinghao Dong Chuanqi Chen Jin-Long Wu DiffM AI4CE 133 5 0 06 Aug 2024
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
Data-driven modelling of brain activity using neural networks, Diffusion Maps, and the Koopman operator I. Gallos Daniel Lehmberg Felix Dietrich Constantinos Siettos 53 8 0 24 Apr 2023
Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling Yonggi Park Kelum Gajamannage D. Jayathilake Erik Bollt AI4CE 92 21 0 14 Feb 2022
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 102 42 0 31 Jan 2022
Time Series Forecasting Using Manifold Learning P. Papaioannou Ronen Talmon D. Serafino Constantinos Siettos AI4TS 91 16 0 07 Oct 2021
Extracting Stochastic Governing Laws by Nonlocal Kramers-Moyal Formulas Yubin Lu Yang Li Jinqiao Duan 47 16 0 28 Aug 2021
Learning particle swarming models from data with Gaussian processes Jinchao Feng Charles Kulick Yunxiang Ren Sui Tang 60 6 0 04 Jun 2021
Learning emergent PDEs in a learned emergent space Felix P. Kemeth Tom S. Bertalan Thomas Thiem Felix Dietrich S. Moon C. Laing Ioannis G. Kevrekidis AI4CE 31 7 0 23 Dec 2020
Learning Theory for Inferring Interaction Kernels in Second-Order Interacting Agent Systems Jason D Miller Sui Tang Ming Zhong Mauro Maggioni 64 18 0 08 Oct 2020
Multiscale Simulations of Complex Systems by Learning their Effective Dynamics Pantelis R. Vlachas G. Arampatzis Caroline Uhler Petros Koumoutsakos AI4CE 107 150 0 24 Jun 2020
Data-driven discovery of free-form governing differential equations Steven Atkinson W. Subber Liping Wang Genghis Khan Philippe Hawi R. Ghanem 58 43 0 27 Sep 2019