Deep learning approaches to surrogates for solving the diffusion
equation for mechanistic real-world simulations

Deep learning approaches to surrogates for solving the diffusion equation for mechanistic real-world simulations

10 February 2021

J. Q. Toledo-Marín

Geoffrey C. Fox

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Papers citing "Deep learning approaches to surrogates for solving the diffusion equation for mechanistic real-world simulations"

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Title
Surrogate modeling of Cellular-Potts Agent-Based Models as a segmentation task using the U-Net neural network architecture Tien Comlekoglu J. Q. Toledo-Marín Tina Comlekoglu Douglas W. DeSimone Shayn M. Peirce Geoffrey C. Fox J. Glazier 123 1 0 01 May 2025
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 500 2,448 0 18 Oct 2020
Machine learning for molecular simulation Frank Noé A. Tkatchenko K. Müller C. Clementi AI4CE 75 664 0 07 Nov 2019
An Introduction to Variational Autoencoders Diederik P. Kingma Max Welling BDL SSL DRL 95 2,362 0 06 Jun 2019
DiffEqFlux.jl - A Julia Library for Neural Differential Equations Christopher Rackauckas Mike Innes Yingbo Ma J. Bettencourt Lyndon White Vaibhav Dixit 69 119 0 06 Feb 2019
Fashionable Modelling with Flux Mike Innes Elliot Saba Keno Fischer Dhairya Gandhi Marco Concetto Rudilosso Neethu Mariya Joy Tejan Karmali Avik Pal Viral B. Shah AI4CE 79 164 0 01 Nov 2018
Weakly-Supervised Deep Learning of Heat Transport via Physics Informed Loss Rishi Sharma A. Farimani Joseph Gomes Peter K. Eastman Vijay S. Pande AI4CE 45 60 0 24 Jul 2018
Molecular enhanced sampling with autoencoders: On-the-fly collective variable discovery and accelerated free energy landscape exploration Wei Chen Andrew L. Ferguson 52 200 0 30 Dec 2017
Deep Learning the Physics of Transport Phenomena A. Farimani Joseph Gomes Vijay S. Pande AI4CE BDL 58 110 0 07 Sep 2017
Quantifying the probable approximation error of probabilistic inference programs Marco F. Cusumano-Towner Vikash K. Mansinghka 96 5 0 31 May 2016