DGM: A deep learning algorithm for solving partial differential equations

24 August 2017

Papers citing "DGM: A deep learning algorithm for solving partial differential equations"

15 / 315 papers shown

Title
Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations Siyu Dai Shawn Schaffert Andreas G. Hofmann 17 355 0 05 Nov 2018
Using Deep Learning to Extend the Range of Air-Pollution Monitoring and Forecasting Philipp Haehnel Jakub Mareˇcek Julien Monteil Fearghal O'Donncha AI4CE 20 39 0 22 Oct 2018
Physics-Driven Regularization of Deep Neural Networks for Enhanced Engineering Design and Analysis M. A. Nabian Hadi Meidani PINN AI4CE 21 57 0 11 Oct 2018
Unbiased deep solvers for linear parametric PDEs Marc Sabate Vidales David Siska Lukasz Szpruch OOD 32 7 0 11 Oct 2018
Machine Learning for semi linear PDEs Quentin Chan-Wai-Nam Joseph Mikael X. Warin ODL 24 111 0 20 Sep 2018
A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients Arnulf Jentzen Diyora Salimova Timo Welti AI4CE 29 116 0 19 Sep 2018
Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of Black-Scholes Partial Differential Equations Julius Berner Philipp Grohs Arnulf Jentzen 14 181 0 09 Sep 2018
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations Philipp Grohs F. Hornung Arnulf Jentzen Philippe von Wurstemberger 21 167 0 07 Sep 2018
Neural Networks Trained to Solve Differential Equations Learn General Representations M. Magill F. Qureshi H. W. Haan 16 64 0 29 Jun 2018
Solving the Kolmogorov PDE by means of deep learning C. Beck S. Becker Philipp Grohs Nor Jaafari Arnulf Jentzen 24 91 0 01 Jun 2018
Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks P. Stinis Tobias J. Hagge A. Tartakovsky Enoch Yeung GAN AI4CE 56 33 0 22 Mar 2018
Universal features of price formation in financial markets: perspectives from Deep Learning Justin A. Sirignano R. Cont AIFin 16 255 0 19 Mar 2018
Solving for high dimensional committor functions using artificial neural networks Y. Khoo Jianfeng Lu Lexing Ying 37 137 0 28 Feb 2018
Neural networks catching up with finite differences in solving partial differential equations in higher dimensions V. Avrutskiy 23 21 0 14 Dec 2017
A unified deep artificial neural network approach to partial differential equations in complex geometries Jens Berg K. Nystrom AI4CE 29 578 0 17 Nov 2017