Learning black- and gray-box chemotactic PDEs/closures from agent based
Monte Carlo simulation data

Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data

26 May 2022

Y. M. Psarellis

Constantinos Siettos

Ioannis G. Kevrekidis

ArXiv (abs)PDF HTML

Papers citing "Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data"

14 / 14 papers shown

Title
Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems Nicholas Karris Evangelos A. Nikitopoulos Ioannis G. Kevrekidis Seungjoon Lee Alexander Cloninger OT 125 0 0 10 Jan 2025
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning Chengping Rao Pu Ren Yang Liu Hao Sun AI4CE 105 29 0 28 Jan 2022
Solving and Learning Nonlinear PDEs with Gaussian Processes Yifan Chen Bamdad Hosseini H. Owhadi Andrew M. Stuart 73 157 0 24 Mar 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 18 7 0 23 Dec 2020
Using Machine Learning to Augment Coarse-Grid Computational Fluid Dynamics Simulations Jaideep Pathak M. Mustafa K. Kashinath Emmanuel Motheau Thorsten Kurth M. Day AI4CE 50 45 0 30 Sep 2020
Multiscale Simulations of Complex Systems by Learning their Effective Dynamics Pantelis R. Vlachas G. Arampatzis Caroline Uhler Petros Koumoutsakos AI4CE 73 150 0 24 Jun 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 243 793 0 13 Mar 2020
Accelerating PDE-constrained Inverse Solutions with Deep Learning and Reduced Order Models Sheroze Sheriffdeen J. Ragusa J. Morel M. Adams T. Bui-Thanh AI4CE 55 15 0 17 Dec 2019
Data-Driven Deep Learning of Partial Differential Equations in Modal Space Kailiang Wu D. Xiu 127 152 0 15 Oct 2019
Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamics Pantelis R. Vlachas Jaideep Pathak Brian R. Hunt T. Sapsis M. Girvan Edward Ott Petros Koumoutsakos AI4TS 63 398 0 09 Oct 2019
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 81 273 0 13 Nov 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 446 5,168 0 19 Jun 2018
Data-driven Discovery of Closure Models Shaowu Pan Karthik Duraisamy AI4CE 62 91 0 25 Mar 2018
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 82 1,143 0 02 Aug 2017

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