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1908.03190
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NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data
Mathematical and Scientific Machine Learning (MSML), 2019
8 August 2019
Yifan Sun
Linan Zhang
Hayden Schaeffer
AI4TS
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Papers citing
"NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data"
45 / 45 papers shown
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations
Junfeng Chen
Kailiang Wu
D. Xiu
331
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0
14 Apr 2025
Multi-Task Neural Architecture Search Using Architecture Embedding and Transfer Rank
TingJie Zhang
HaiLin Liu
263
2
0
01 Apr 2025
AsCAN: Asymmetric Convolution-Attention Networks for Efficient Recognition and Generation
Neural Information Processing Systems (NeurIPS), 2024
Vidit Goel
Huseyin Coskun
Jierun Chen
Junli Cao
Willi Menapace
Aliaksandr Siarohin
Sergey Tulyakov
Jian Ren
274
7
0
07 Nov 2024
Deep Trees for (Un)structured Data: Tractability, Performance, and Interpretability
Dimitris Bertsimas
Lisa Everest
Jiayi Gu
Matthew Peroni
Vasiliki Stoumpou
197
0
0
28 Oct 2024
Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model
Journal of Machine Learning for Modeling and Computing (JMLMC), 2024
Derek Jollie
Jingmin Sun
Zecheng Zhang
Hayden Schaeffer
AI4TS
265
4
0
17 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
292
23
0
15 Sep 2024
LeMON: Learning to Learn Multi-Operator Networks
Jingmin Sun
Zecheng Zhang
Hayden Schaeffer
438
10
0
28 Aug 2024
DDE-Find: Learning Delay Differential Equations from Noisy, Limited Data
Proceedings of the Royal Society A (Proc. R. Soc. A), 2024
Robert Stephany
DiffM
206
2
0
04 May 2024
Graph Neural Stochastic Differential Equations
Richard Bergna
Felix L. Opolka
Pietro Lio
Jose Miguel Hernandez-Lobato
257
4
0
23 Aug 2023
Physics informed Neural Networks applied to the description of wave-particle resonance in kinetic simulations of fusion plasmas
J. Kumar
D. Zarzoso
V. Grandgirard
Jana Ebert
Stefan Kesselheim
PINN
175
3
0
23 Aug 2023
Flow Map Learning for Unknown Dynamical Systems: Overview, Implementation, and Benchmarks
Journal of Machine Learning for Modeling and Computing (JMLMC), 2023
V. Churchill
D. Xiu
AI4CE
242
23
0
20 Jul 2023
Neural Delay Differential Equations: System Reconstruction and Image Classification
International Conference on Learning Representations (ICLR), 2021
Qunxi Zhu
Yao Guo
Wei Lin
228
43
0
11 Apr 2023
Deep-OSG: Deep Learning of Operators in Semigroup
Journal of Computational Physics (JCP), 2023
Junfeng Chen
Kailiang Wu
AI4TS
344
8
0
07 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series
Yesom Park
Jaemoo Choi
Changyeon Yoon
Changhoon Song
Myung-joo Kang
AI4TS
AI4CE
239
4
0
02 Feb 2023
FINDE: Neural Differential Equations for Finding and Preserving Invariant Quantities
International Conference on Learning Representations (ICLR), 2022
Takashi Matsubara
Takaharu Yaguchi
PINN
293
11
0
01 Oct 2022
Symplectically Integrated Symbolic Regression of Hamiltonian Dynamical Systems
Daniel M. DiPietro
Bo Zhu
119
5
0
04 Sep 2022
E2V-SDE: From Asynchronous Events to Fast and Continuous Video Reconstruction via Neural Stochastic Differential Equations
Jongwan Kim
Dongjin Lee
Byunggook Na
Seongsik Park
Jeonghee Jo
Sung-Hoon Yoon
214
0
0
15 Jun 2022
Learning Fine Scale Dynamics from Coarse Observations via Inner Recurrence
Journal of Machine Learning for Modeling and Computing (JMLMC), 2022
V. Churchill
D. Xiu
AI4CE
165
2
0
03 Jun 2022
Deep Learning of Chaotic Systems from Partially-Observed Data
Journal of Machine Learning for Modeling and Computing (JMLMC), 2022
V. Churchill
D. Xiu
262
17
0
12 May 2022
Robust Modeling of Unknown Dynamical Systems via Ensemble Averaged Learning
Journal of Computational Physics (JCP), 2022
V. Churchill
Steve Manns
Zhen Chen
D. Xiu
AI4CE
203
12
0
07 Mar 2022
Modeling unknown dynamical systems with hidden parameters
Journal of Machine Learning for Modeling and Computing (JMLMC), 2022
Xiaohan Fu
Weize Mao
L. Chang
D. Xiu
157
8
0
03 Feb 2022
Neural Piecewise-Constant Delay Differential Equations
AAAI Conference on Artificial Intelligence (AAAI), 2022
Qunxi Zhu
Yifei Shen
Dongsheng Li
Wei-Jer Lin
PINN
339
8
0
04 Jan 2022
Characteristic Neural Ordinary Differential Equations
International Conference on Learning Representations (ICLR), 2021
Xingzi Xu
Ali Hasan
Khalil Elkhalil
Jie Ding
Vahid Tarokh
BDL
456
3
0
25 Nov 2021
Signature-Graph Networks
Ali Hamdi
Flora D. Salim
D. Kim
Xiaojun Chang
191
2
0
22 Oct 2021
Conditioning of Random Feature Matrices: Double Descent and Generalization Error
Zhijun Chen
Hayden Schaeffer
344
13
0
21 Oct 2021
Adaptive Group Lasso Neural Network Models for Functions of Few Variables and Time-Dependent Data
Sampling Theory, Signal Processing, and Data Analysis (SAMPTA), 2021
L. Ho
Nicholas Richardson
Giang Tran
405
3
0
24 Aug 2021
Data-driven reduced order modeling of environmental hydrodynamics using deep autoencoders and neural ODEs
S. Dutta
Peter Rivera-Casillas
Orie M. Cecil
Matthew W. Farthing
E. Perracchione
M. Putti
AI4CE
194
9
0
06 Jul 2021
Modelling Neuronal Behaviour with Time Series Regression: Recurrent Neural Networks on C. Elegans Data
Gonçalo Mestre
Ruxandra Bărbulescu
Arlindo L. Oliveira
L. M. Silveira
80
2
0
01 Jul 2021
Beyond Predictions in Neural ODEs: Identification and Interventions
H. Aliee
Fabian J. Theis
Niki Kilbertus
CML
418
28
0
23 Jun 2021
Deep Neural Network Modeling of Unknown Partial Differential Equations in Nodal Space
Zhen Chen
V. Churchill
Kailiang Wu
D. Xiu
AI4CE
121
59
0
07 Jun 2021
Neural Ordinary Differential Equations for Data-Driven Reduced Order Modeling of Environmental Hydrodynamics
S. Dutta
Peter Rivera-Casillas
Matthew W. Farthing
AI4CE
170
14
0
22 Apr 2021
A Swarm Variant for the Schrödinger Solver
IEEE International Joint Conference on Neural Network (IJCNN), 2021
U. Jivani
Omatharv Bharat Vaidya
Anwesh Bhattacharya
Snehanshu Saha
197
2
0
10 Apr 2021
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation
SIAM Journal on Numerical Analysis (SINUM), 2021
Q. Du
Yiqi Gu
Haizhao Yang
Chao Zhou
393
26
0
21 Mar 2021
Learning orbital dynamics of binary black hole systems from gravitational wave measurements
Physical Review Research (Phys. Rev. Res.), 2021
B. Keith
Akshay Khadse
Scott E. Field
163
13
0
25 Feb 2021
Neuro-Reachability of Networked Microgrids
IEEE Transactions on Power Systems (IEEE Trans. Power Syst.), 2021
Yifan Zhou
Peng Zhang
107
31
0
13 Jan 2021
Accuracy and Architecture Studies of Residual Neural Network solving Ordinary Differential Equations
Changxin Qiu
Aaron Bendickson
Joshua Kalyanapu
Jue Yan
184
1
0
10 Jan 2021
Reduced Order Modeling using Shallow ReLU Networks with Grassmann Layers
Mathematical and Scientific Machine Learning (MSML), 2020
K. Bollinger
Hayden Schaeffer
195
3
0
17 Dec 2020
Some observations on high-dimensional partial differential equations with Barron data
Mathematical and Scientific Machine Learning (MSML), 2020
E. Weinan
Stephan Wojtowytsch
AI4CE
386
23
0
02 Dec 2020
Sparsely constrained neural networks for model discovery of PDEs
G. Both
Gijs Vermarien
R. Kusters
200
6
0
09 Nov 2020
Fine-Tuning DARTS for Image Classification
M. Tanveer
Muhammad Umar Karim Khan
C. Kyung
284
51
0
16 Jun 2020
Sparse Symplectically Integrated Neural Networks
Neural Information Processing Systems (NeurIPS), 2020
Daniel M. DiPietro
S. Xiong
Bo Zhu
222
34
0
10 Jun 2020
Learning reduced systems via deep neural networks with memory
Journal of Machine Learning for Modeling and Computing (JMLMC), 2020
Xiaohang Fu
L. Chang
D. Xiu
221
35
0
20 Mar 2020
On generalized residue network for deep learning of unknown dynamical systems
Journal of Computational Physics (JCP), 2020
Zhen Chen
D. Xiu
AI4CE
291
56
0
23 Jan 2020
Discovery of Dynamics Using Linear Multistep Methods
SIAM Journal on Numerical Analysis (SINUM), 2019
Rachael Keller
Q. Du
338
40
0
29 Dec 2019
Data-Driven Deep Learning of Partial Differential Equations in Modal Space
Journal of Computational Physics (JCP), 2019
Kailiang Wu
D. Xiu
314
164
0
15 Oct 2019
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