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2406.01539
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Physics-informed deep learning and compressive collocation for high-dimensional diffusion-reaction equations: practical existence theory and numerics
3 June 2024
Simone Brugiapaglia
N. Dexter
Samir Karam
Weiqi Wang
AI4CE
DiffM
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Papers citing
"Physics-informed deep learning and compressive collocation for high-dimensional diffusion-reaction equations: practical existence theory and numerics"
4 / 4 papers shown
Title
Learning smooth functions in high dimensions: from sparse polynomials to deep neural networks
Ben Adcock
Simone Brugiapaglia
N. Dexter
S. Moraga
35
4
0
04 Apr 2024
A Deep-Genetic Algorithm (Deep-GA) Approach for High-Dimensional Nonlinear Parabolic Partial Differential Equations
E. Putri
M. L. Shahab
Mohammad Iqbal
I. Mukhlash
A. Hakam
Lutfi Mardianto
Hadi Susanto
23
1
0
20 Nov 2023
Convergence and error analysis of PINNs
Nathan Doumèche
Gérard Biau
D. Boyer
PINN
AI4CE
26
16
0
02 May 2023
Deep Neural Networks Are Effective At Learning High-Dimensional Hilbert-Valued Functions From Limited Data
Ben Adcock
Simone Brugiapaglia
N. Dexter
S. Moraga
21
29
0
11 Dec 2020
1