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Some observations on high-dimensional partial differential equations
  with Barron data
v1v2v3 (latest)

Some observations on high-dimensional partial differential equations with Barron data

Mathematical and Scientific Machine Learning (MSML), 2020
2 December 2020
E. Weinan
Stephan Wojtowytsch
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Some observations on high-dimensional partial differential equations with Barron data"

9 / 9 papers shown
Barron Space Representations for Elliptic PDEs with Homogeneous Boundary Conditions
Barron Space Representations for Elliptic PDEs with Homogeneous Boundary Conditions
Ziang Chen
Liqiang Huang
251
1
0
11 Aug 2025
Error Analysis of Three-Layer Neural Network Trained with PGD for Deep
  Ritz Method
Error Analysis of Three-Layer Neural Network Trained with PGD for Deep Ritz MethodIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2024
Yuling Jiao
Yanming Lai
Yang Wang
AI4CE
202
1
0
19 May 2024
Statistical Spatially Inhomogeneous Diffusion Inference
Statistical Spatially Inhomogeneous Diffusion Inference
Yinuo Ren
Yiping Lu
Lexing Ying
Grant M. Rotskoff
228
3
0
10 Dec 2023
Embedding Inequalities for Barron-type Spaces
Embedding Inequalities for Barron-type SpacesJournal of Machine Learning (JML), 2023
Lei Wu
318
0
0
30 May 2023
Embeddings between Barron spaces with higher order activation functions
Embeddings between Barron spaces with higher order activation functionsApplied and Computational Harmonic Analysis (ACHA), 2023
T. J. Heeringa
L. Spek
Felix L. Schwenninger
C. Brune
246
5
0
25 May 2023
Delay-SDE-net: A deep learning approach for time series modelling with
  memory and uncertainty estimates
Delay-SDE-net: A deep learning approach for time series modelling with memory and uncertainty estimates
M. Eggen
A. Midtfjord
213
3
0
14 Mar 2023
Neural Galerkin Schemes with Active Learning for High-Dimensional
  Evolution Equations
Neural Galerkin Schemes with Active Learning for High-Dimensional Evolution Equations
Joan Bruna
Benjamin Peherstorfer
Eric Vanden-Eijnden
503
97
0
02 Mar 2022
A Regularity Theory for Static Schrödinger Equations on $\mathbb{R}^d$
  in Spectral Barron Spaces
A Regularity Theory for Static Schrödinger Equations on Rd\mathbb{R}^dRd in Spectral Barron Spaces
Ziang Chen
Jianfeng Lu
Yulong Lu
Sheng-Wei Zhou
236
0
0
25 Jan 2022
On the Representation of Solutions to Elliptic PDEs in Barron Spaces
On the Representation of Solutions to Elliptic PDEs in Barron SpacesNeural Information Processing Systems (NeurIPS), 2021
Ziang Chen
Jianfeng Lu
Yulong Lu
240
38
0
14 Jun 2021
1
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