Neural Networks Trained to Solve Differential Equations Learn General Representations

29 June 2018

Papers citing "Neural Networks Trained to Solve Differential Equations Learn General Representations"

35 / 35 papers shown

Title
Prediction-driven resource provisioning for serverless container runtimes Dimitrios Tomaras Michail Tsenos V. Kalogeraki AI4TS 83 2 0 09 Oct 2024
TIMBER: On supporting data pipelines in Mobile Cloud Environments Dimitrios Tomaras Michail Tsenos V. Kalogeraki Dimitrios Gunopulos 72 0 0 08 Oct 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 78 0 0 18 Jan 2024
Sampling Complexity of Deep Approximation Spaces Ahmed Abdeljawad Philipp Grohs 49 1 0 20 Dec 2023
Approximating High-Dimensional Minimal Surfaces with Physics-Informed Neural Networks Steven Zhou Xiaojing Ye PINN 64 0 0 05 Sep 2023
Extracting Reward Functions from Diffusion Models Felipe Nuti Tim Franzmeyer João F. Henriques 87 15 0 01 Jun 2023
Physics-Informed Neural Networks for Discovering Localised Eigenstates in Disordered Media Liam Harcombe Quanling Deng 65 6 0 11 May 2023
Revisiting Hidden Representations in Transfer Learning for Medical Imaging Dovile Juodelyte Amelia Jiménez-Sánchez Veronika Cheplygina OOD 61 1 0 16 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs Nathan Gaby X. Ye Haomin Zhou 71 6 0 31 Jan 2023
Qade: Solving Differential Equations on Quantum Annealers J. C. Criado M. Spannowsky 62 13 0 07 Apr 2022
When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning Chuizheng Meng Sungyong Seo Defu Cao Sam Griesemer Yan Liu PINN AI4CE 122 59 0 31 Mar 2022
Physics-Informed Neural Networks for Quantum Eigenvalue Problems Henry Jin M. Mattheakis P. Protopapas 46 35 0 24 Feb 2022
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 103 30 0 07 Dec 2021
Semi-Implicit Neural Solver for Time-dependent Partial Differential Equations Suprosanna Shit Ivan Ezhov Leon Mächler R. Abinav Jana Lipkova Johannes C. Paetzold Florian Kofler Marie Piraud Bjoern Menze AI4CE 122 1 0 03 Sep 2021
Feature Engineering with Regularity Structures I. Chevyrev A. Gerasimovičs H. Weber 157 11 0 12 Aug 2021
Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations Yingtao Luo Qiang Liu Yuntian Chen Wenbo Hu Tian Tian Jun Zhu DiffM 113 4 0 02 Jun 2021
A Swarm Variant for the Schrödinger Solver U. Jivani Omatharv Bharat Vaidya Anwesh Bhattacharya Snehanshu Saha 16 2 0 10 Apr 2021
Elvet -- a neural network-based differential equation and variational problem solver Jack Y. Araz J. C. Criado M. Spannowsky 65 13 0 26 Mar 2021
Approximations with deep neural networks in Sobolev time-space Ahmed Abdeljawad Philipp Grohs 54 12 0 23 Dec 2020
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 117 153 0 22 Dec 2020
Physics-informed Neural-Network Software for Molecular Dynamics Applications Taufeq Mohammed Razakh Beibei Wang Shane Jackson R. Kalia A. Nakano K. Nomura P. Vashishta PINN 66 11 0 06 Nov 2020
Unsupervised Neural Networks for Quantum Eigenvalue Problems Henry Jin M. Mattheakis P. Protopapas 39 25 0 10 Oct 2020
Semi-supervised Neural Networks solve an inverse problem for modeling Covid-19 spread Alessandro Paticchio Tommaso Scarlatti M. Mattheakis P. Protopapas Marco Brambilla 36 9 0 10 Oct 2020
Hypersolvers: Toward Fast Continuous-Depth Models Michael Poli Stefano Massaroli Atsushi Yamashita Hajime Asama Jinkyoo Park BDL AI4CE 74 47 0 19 Jul 2020
Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers Kiwon Um R. Brand Yun Fei Fei Philipp Holl N. Thürey AI4CE 88 275 0 30 Jun 2020
Space-time deep neural network approximations for high-dimensional partial differential equations F. Hornung Arnulf Jentzen Diyora Salimova AI4CE 75 20 0 03 Jun 2020
Neural Network Solutions to Differential Equations in Non-Convex Domains: Solving the Electric Field in the Slit-Well Microfluidic Device M. Magill Andrew M. Nagel H. D. de Haan 29 7 0 25 Apr 2020
Hamiltonian neural networks for solving equations of motion M. Mattheakis David Sondak Akshunna S. Dogra P. Protopapas 108 59 0 29 Jan 2020
Uniform error estimates for artificial neural network approximations for heat equations Lukas Gonon Philipp Grohs Arnulf Jentzen David Kofler David Siska 83 34 0 20 Nov 2019
Implicit Neural Solver for Time-dependent Linear PDEs with Convergence Guarantee Suprosanna Shit Abinav Ravi Venkatakrishnan Ivan Ezhov Jana Lipkova Marie Piraud Bjoern Menze AI4CE 27 2 0 08 Oct 2019
Deep neural network approximations for Monte Carlo algorithms Philipp Grohs Arnulf Jentzen Diyora Salimova 52 34 0 28 Aug 2019
Space-time error estimates for deep neural network approximations for differential equations Philipp Grohs F. Hornung Arnulf Jentzen Philipp Zimmermann 69 33 0 11 Aug 2019
Deep splitting method for parabolic PDEs C. Beck S. Becker Patrick Cheridito Arnulf Jentzen Ariel Neufeld 97 126 0 08 Jul 2019
Physical Symmetries Embedded in Neural Networks M. Mattheakis P. Protopapas D. Sondak Marco Di Giovanni E. Kaxiras PINN 102 71 0 18 Apr 2019
Transfusion: Understanding Transfer Learning for Medical Imaging M. Raghu Chiyuan Zhang Jon M. Kleinberg Samy Bengio MedIm 92 987 0 14 Feb 2019