Quadratic Residual Networks: A New Class of Neural Networks for Solving Forward and Inverse Problems in Physics Involving PDEs

20 January 2021

Anuj Karpatne

Papers citing "Quadratic Residual Networks: A New Class of Neural Networks for Solving Forward and Inverse Problems in Physics Involving PDEs"

21 / 21 papers shown

Title
SetPINNs: Set-based Physics-informed Neural Networks Mayank Nagda Phil Ostheimer Thomas Specht Frank Rhein Fabian Jirasek Stephan Mandt Marius Kloft Sophie Fellenz PINN 3DPC 171 1 0 30 Sep 2024
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 129 6 0 10 Feb 2023
When and why PINNs fail to train: A neural tangent kernel perspective Sizhuang He Xinling Yu P. Perdikaris 135 909 0 28 Jul 2020
A Survey on Activation Functions and their relation with Xavier and He Normal Initialization Leonid Datta AI4CE 69 69 0 18 Mar 2020
Neural Arithmetic Units Andreas Madsen alexander rosenberg johansen 42 45 0 14 Jan 2020
Exploring Self-Supervised Regularization for Supervised and Semi-Supervised Learning Phi Vu Tran SSL 31 16 0 25 Jun 2019
The Convergence Rate of Neural Networks for Learned Functions of Different Frequencies Ronen Basri David Jacobs Yoni Kasten S. Kritchman 72 218 0 02 Jun 2019
On the Expressive Power of Deep Polynomial Neural Networks Joe Kileel Matthew Trager Joan Bruna 61 82 0 29 May 2019
Universal Approximation with Deep Narrow Networks Patrick Kidger Terry Lyons 128 330 0 21 May 2019
Neural Arithmetic Logic Units Andrew Trask Felix Hill Scott E. Reed Jack W. Rae Chris Dyer Phil Blunsom NAI 70 205 0 01 Aug 2018
Universal Approximation with Quadratic Deep Networks Fenglei Fan Jinjun Xiong Ge Wang PINN 72 82 0 31 Jul 2018
On the Power of Over-parametrization in Neural Networks with Quadratic Activation S. Du Jason D. Lee 178 271 0 03 Mar 2018
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 91 613 0 28 Nov 2017
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 75 924 0 28 Nov 2017
A New Type of Neurons for Machine Learning Fenglei Fan W. Cong Ge Wang 43 72 0 26 Apr 2017
Theory-guided Data Science: A New Paradigm for Scientific Discovery from Data Anuj Karpatne G. Atluri James H. Faghmous M. Steinbach A. Banerjee A. Ganguly Shashi Shekhar N. Samatova Vipin Kumar AI4CE 56 985 0 27 Dec 2016
Deep Residual Learning for Image Recognition Kaiming He Xinming Zhang Shaoqing Ren Jian Sun MedIm 2.2K 194,020 0 10 Dec 2015
Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs) Djork-Arné Clevert Thomas Unterthiner Sepp Hochreiter 300 5,524 0 23 Nov 2015
A Neural Transfer Function for a Smooth and Differentiable Transition Between Additive and Multiplicative Interactions Sebastian Urban Patrick van der Smagt 41 8 0 19 Mar 2015
A Stochastic Quasi-Newton Method for Large-Scale Optimization R. Byrd Samantha Hansen J. Nocedal Y. Singer ODL 108 471 0 27 Jan 2014
Sum-Product Networks: A New Deep Architecture Hoifung Poon Pedro M. Domingos TPM 81 758 0 14 Feb 2012