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

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

20 January 2021
Jie Bu
Anuj Karpatne
ArXivPDFHTML

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

11 / 11 papers shown
Title
SetPINNs: Set-based Physics-informed Neural Networks
SetPINNs: Set-based Physics-informed Neural Networks
M. Nagda
Phil Ostheimer
Thomas Specht
Frank Rhein
F. Jirasek
Stephan Mandt
Sophie Fellenz
Sophie Fellenz
3DPC
PINN
46
0
0
30 Sep 2024
No One-Size-Fits-All Neurons: Task-based Neurons for Artificial Neural
  Networks
No One-Size-Fits-All Neurons: Task-based Neurons for Artificial Neural Networks
Feng-Lei Fan
Meng Wang
Hang Dong
Jianwei Ma
Tieyong Zeng
40
0
0
03 May 2024
PAON: A New Neuron Model using Padé Approximants
PAON: A New Neuron Model using Padé Approximants
Onur Keleş
A. Murat Tekalp
38
1
0
18 Mar 2024
Learning to Predict Structural Vibrations
Learning to Predict Structural Vibrations
J. V. Delden
Julius Schultz
Christopher Blech
Sabine C. Langer
Timo Luddecke
AI4CE
26
1
0
09 Oct 2023
Dendritic Integration Based Quadratic Neural Networks Outperform
  Traditional Aritificial Ones
Dendritic Integration Based Quadratic Neural Networks Outperform Traditional Aritificial Ones
Chongmin Liu
Songting Li
Douglas Zhou
18
0
0
25 May 2023
Cloud-RAIN: Point Cloud Analysis with Reflectional Invariance
Cloud-RAIN: Point Cloud Analysis with Reflectional Invariance
Yiming Cui
Lecheng Ruan
Hang Dong
Qiang Li
Zhongming Wu
T. Zeng
Fengyu Fan
3DPC
35
0
0
13 May 2023
One Neuron Saved Is One Neuron Earned: On Parametric Efficiency of
  Quadratic Networks
One Neuron Saved Is One Neuron Earned: On Parametric Efficiency of Quadratic Networks
Fenglei Fan
Hangcheng Dong
Zhongming Wu
Lecheng Ruan
T. Zeng
Yiming Cui
Jing-Xiao Liao
59
8
0
11 Mar 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
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
51
4
0
10 Feb 2023
Towards NeuroAI: Introducing Neuronal Diversity into Artificial Neural
  Networks
Towards NeuroAI: Introducing Neuronal Diversity into Artificial Neural Networks
Fenglei Fan
Yingxin Li
Hanchuan Peng
T. Zeng
Fei-Yue Wang
22
5
0
23 Jan 2023
QuadraLib: A Performant Quadratic Neural Network Library for
  Architecture Optimization and Design Exploration
QuadraLib: A Performant Quadratic Neural Network Library for Architecture Optimization and Design Exploration
Zirui Xu
Fuxun Yu
Jinjun Xiong
Xiang Chen
33
23
0
01 Apr 2022
Respecting causality is all you need for training physics-informed
  neural networks
Respecting causality is all you need for training physics-informed neural networks
Sifan Wang
Shyam Sankaran
P. Perdikaris
PINN
CML
AI4CE
37
199
0
14 Mar 2022
1