Derivative-Informed Projected Neural Networks for High-Dimensional
Parametric Maps Governed by PDEs

Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs

30 November 2020

Thomas O'Leary-Roseberry

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