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2011.15110
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Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs
30 November 2020
Thomas O'Leary-Roseberry
Umberto Villa
Peng Chen
Omar Ghattas
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Papers citing
"Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs"
10 / 10 papers shown
Title
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning
Hao Liu
Biraj Dahal
Rongjie Lai
Wenjing Liao
AI4CE
34
5
0
19 Jan 2024
Learning Active Subspaces for Effective and Scalable Uncertainty Quantification in Deep Neural Networks
Sanket R. Jantre
Nathan M. Urban
Xiaoning Qian
Byung-Jun Yoon
BDL
UQCV
23
4
0
06 Sep 2023
Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative Learning
Thomas O'Leary-Roseberry
Peng Chen
Umberto Villa
Omar Ghattas
AI4CE
32
39
0
21 Jun 2022
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive Residual Networks
Thomas O'Leary-Roseberry
Xiaosong Du
A. Chaudhuri
J. Martins
Karen E. Willcox
Omar Ghattas
30
22
0
14 Dec 2021
slimTrain -- A Stochastic Approximation Method for Training Separable Deep Neural Networks
Elizabeth Newman
Julianne Chung
Matthias Chung
Lars Ruthotto
44
6
0
28 Sep 2021
Convergence Rates for Learning Linear Operators from Noisy Data
Maarten V. de Hoop
Nikola B. Kovachki
Nicholas H. Nelsen
Andrew M. Stuart
19
54
0
27 Aug 2021
Neural Operator: Learning Maps Between Function Spaces
Nikola B. Kovachki
Zong-Yi Li
Burigede Liu
Kamyar Azizzadenesheli
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
34
440
0
19 Aug 2021
Projected Stein Variational Gradient Descent
Peng Chen
Omar Ghattas
BDL
55
68
0
09 Feb 2020
Geometric deep learning on graphs and manifolds using mixture model CNNs
Federico Monti
Davide Boscaini
Jonathan Masci
Emanuele Rodolà
Jan Svoboda
M. Bronstein
GNN
251
1,811
0
25 Nov 2016
Geometric deep learning: going beyond Euclidean data
M. Bronstein
Joan Bruna
Yann LeCun
Arthur Szlam
P. Vandergheynst
GNN
253
3,239
0
24 Nov 2016
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