Papers
Communities
Events
Blog
Pricing
Search
Open menu
Home
Papers
1910.03193
Cited By
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
8 October 2019
Lu Lu
Pengzhan Jin
George Karniadakis
Re-assign community
ArXiv
PDF
HTML
Papers citing
"DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators"
50 / 207 papers shown
Title
Scientific Machine Learning Seismology
Tomohisa Okazaki
PINN
AI4CE
46
0
0
27 Sep 2024
PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics
Yuxuan Liu
Jingmin Sun
Xinjie He
Griffin Pinney
Zecheng Zhang
Hayden Schaeffer
AI4CE
35
5
0
15 Sep 2024
Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling
Vivek Oommen
Aniruddha Bora
Zhen Zhang
George Karniadakis
DiffM
45
13
0
13 Sep 2024
Harnessing physics-informed operators for high-dimensional reliability analysis problems
N Navaneeth
Tushar
Souvik Chakraborty
AI4CE
32
0
0
07 Sep 2024
A domain decomposition-based autoregressive deep learning model for unsteady and nonlinear partial differential equations
Sheel Nidhan
Haoliang Jiang
Lalit Ghule
C. Umphrey
Rishikesh Ranade
Jay Pathak
AI4CE
34
0
0
26 Aug 2024
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators
Chuwei Wang
Julius Berner
Zongyi Li
Di Zhou
Jiayun Wang
Jane Bae
Anima Anandkumar
AI4CE
28
1
0
09 Aug 2024
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator
Xinghao Dong
Chuanqi Chen
Jin-Long Wu
DiffM
AI4CE
41
5
0
06 Aug 2024
Neural Network Emulator for Atmospheric Chemical ODE
Zhi-Song Liu
Petri S. Clusius
Michael Boy
36
3
0
03 Aug 2024
Physics-Informed Geometry-Aware Neural Operator
Weiheng Zhong
Hadi Meidani
AI4CE
30
4
0
02 Aug 2024
Active Learning for Neural PDE Solvers
Daniel Musekamp
Marimuthu Kalimuthu
David Holzmüller
Makoto Takamoto
Carlos Fernandez
AI4CE
41
4
0
02 Aug 2024
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics
Matthias Karlbauer
Danielle C. Maddix
Abdul Fatir Ansari
Boran Han
Gaurav Gupta
Yuyang Wang
Andrew Stuart
Michael W. Mahoney
AI4TS
42
1
0
19 Jul 2024
Neural Operator-Based Proxy for Reservoir Simulations Considering Varying Well Settings, Locations, and Permeability Fields
Daniel Badawi
Eduardo Gildin
OOD
AI4CE
13
4
0
13 Jul 2024
A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics
Tianyu Jin
G. Maierhofer
Katharina Schratz
Yang Xiang
16
1
0
04 Jul 2024
Neural Networks Trained by Weight Permutation are Universal Approximators
Yongqiang Cai
Gaohang Chen
Zhonghua Qiao
59
1
0
01 Jul 2024
An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study
Milad Ramezankhani
A. Deodhar
Rishi Parekh
Dagnachew Birru
AI4CE
38
3
0
20 Jun 2024
Coupled Input-Output Dimension Reduction: Application to Goal-oriented Bayesian Experimental Design and Global Sensitivity Analysis
Qiao Chen
Elise Arnaud
Ricardo Baptista
O. Zahm
36
1
0
19 Jun 2024
Strategies for Pretraining Neural Operators
Anthony Y. Zhou
Cooper Lorsung
AmirPouya Hemmasian
Amir Barati Farimani
AI4CE
34
4
0
12 Jun 2024
Building Hybrid B-Spline And Neural Network Operators
Raffaele Romagnoli
Jasmine Ratchford
Mark H. Klein
AI4CE
29
1
0
06 Jun 2024
Neural empirical interpolation method for nonlinear model reduction
Max Hirsch
F. Pichi
J. Hesthaven
32
1
0
05 Jun 2024
Neural Green's Operators for Parametric Partial Differential Equations
Hugo Melchers
Joost Prins
Michael Abdelmalik
46
3
0
04 Jun 2024
Efficient Prior Calibration From Indirect Data
O. Deniz Akyildiz
M. Girolami
Andrew M. Stuart
A. Vadeboncoeur
33
1
0
28 May 2024
A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains
Yusuke Yamazaki
Ali Harandi
Mayu Muramatsu
A. Viardin
Markus Apel
T. Brepols
Stefanie Reese
Shahed Rezaei
AI4CE
26
12
0
21 May 2024
Ensemble and Mixture-of-Experts DeepONets For Operator Learning
Ramansh Sharma
Varun Shankar
48
0
0
20 May 2024
From Fourier to Neural ODEs: Flow Matching for Modeling Complex Systems
Xin Li
Jingdong Zhang
Qunxi Zhu
Chengli Zhao
Xue Zhang
Xiaojun Duan
Wei Lin
35
3
0
19 May 2024
Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks
R. Mattey
Susanta Ghosh
AI4CE
38
1
0
09 May 2024
Discretization Error of Fourier Neural Operators
S. Lanthaler
Andrew M. Stuart
Margaret Trautner
33
4
0
03 May 2024
Towards General Neural Surrogate Solvers with Specialized Neural Accelerators
Chenkai Mao
Robert Lupoiu
Tianxiang Dai
Mingkun Chen
Jonathan A. Fan
AI4CE
24
4
0
02 May 2024
KAN: Kolmogorov-Arnold Networks
Ziming Liu
Yixuan Wang
Sachin Vaidya
Fabian Ruehle
James Halverson
Marin Soljacic
Thomas Y. Hou
Max Tegmark
72
460
0
30 Apr 2024
MD-NOMAD: Mixture density nonlinear manifold decoder for emulating stochastic differential equations and uncertainty propagation
Akshay Thakur
Souvik Chakraborty
34
1
0
24 Apr 2024
Neural Parameter Regression for Explicit Representations of PDE Solution Operators
Konrad Mundinger
Max Zimmer
S. Pokutta
37
0
0
19 Mar 2024
Adaptive Multilevel Neural Networks for Parametric PDEs with Error Estimation
Janina Enrica Schutte
Martin Eigel
AI4CE
22
2
0
19 Mar 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
Zhongkai Hao
Chang Su
Songming Liu
Julius Berner
Chengyang Ying
Hang Su
A. Anandkumar
Jian Song
Jun Zhu
AI4TS
AI4CE
22
21
0
06 Mar 2024
Uncertainty quantification for deeponets with ensemble kalman inversion
Andrew Pensoneault
Xueyu Zhu
19
1
0
06 Mar 2024
Learning solution operators of PDEs defined on varying domains via MIONet
Shanshan Xiao
Pengzhan Jin
Yifa Tang
25
3
0
23 Feb 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators
Benedikt Alkin
Andreas Fürst
Simon Schmid
Lukas Gruber
Markus Holzleitner
Johannes Brandstetter
PINN
AI4CE
35
8
0
19 Feb 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems
Da Long
Zhitong Xu
Qiwei Yuan
Yin Yang
Shandian Zhe
AI4CE
64
5
0
18 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction
Qilong Ma
Haixu Wu
Lanxiang Xing
Jianmin Wang
Mingsheng Long
AI4CE
19
0
0
04 Feb 2024
Closure Discovery for Coarse-Grained Partial Differential Equations Using Grid-based Reinforcement Learning
Jan-Philipp von Bassewitz
Sebastian Kaltenbach
P. Koumoutsakos
AI4CE
30
1
0
01 Feb 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning
Hao Liu
Biraj Dahal
Rongjie Lai
Wenjing Liao
AI4CE
21
5
0
19 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs
Nathan Gaby
Xiaojing Ye
12
0
0
18 Jan 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses
S. Jafarzadeh
Stewart Silling
Ning Liu
Zhongqiang Zhang
Yue Yu
AI4CE
19
15
0
11 Jan 2024
Nonlinear functional regression by functional deep neural network with kernel embedding
Zhongjie Shi
Jun Fan
Linhao Song
Ding-Xuan Zhou
Johan A. K. Suykens
50
5
0
05 Jan 2024
PINN surrogate of Li-ion battery models for parameter inference. Part II: Regularization and application of the pseudo-2D model
M. Hassanaly
Peter J. Weddle
Ryan N. King
Subhayan De
Alireza Doostan
Corey R. Randall
Eric J. Dufek
Andrew M. Colclasure
Kandler Smith
14
6
0
28 Dec 2023
GIT-Net: Generalized Integral Transform for Operator Learning
Chao Wang
Alexandre H. Thiery
AI4CE
13
0
0
05 Dec 2023
Data-efficient operator learning for solving high Mach number fluid flow problems
Noah Ford
Victor J. Leon
Honest Mrema
Jeffrey Gilbert
Alexander New
AI4CE
14
0
0
28 Nov 2023
Deciphering and integrating invariants for neural operator learning with various physical mechanisms
Rui Zhang
Qi Meng
Zhi-Ming Ma
AI4CE
21
7
0
24 Nov 2023
Mechanical Characterization and Inverse Design of Stochastic Architected Metamaterials Using Neural Operators
Hanxun Jin
Enrui Zhang
Boyu Zhang
Sridhar Krishnaswamy
George Karniadakis
Horacio D. Espinosa
AI4CE
17
4
0
23 Nov 2023
Inferring Relational Potentials in Interacting Systems
Armand Comas Massagu´e
Yilun Du
Christian Fernández
S. Ghimire
M. Sznaier
J. Tenenbaum
Octavia Camps
14
4
0
23 Oct 2023
Randomized Forward Mode of Automatic Differentiation For Optimization Algorithms
Khemraj Shukla
Yeonjong Shin
ODL
11
4
0
22 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
Qingsong Xu
Yilei Shi
Jonathan Bamber
Ye Tuo
Ralf Ludwig
Xiao Xiang Zhu
AI4CE
18
9
0
08 Oct 2023
Previous
1
2
3
4
5
Next