GMLS-Nets: A framework for learning from unstructured data

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GMLS-Nets: A framework for learning from unstructured data

7 September 2019

Nathaniel Trask

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Papers citing "GMLS-Nets: A framework for learning from unstructured data"

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Title
Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited Data Joseph L. Hart Mamikon A. Gulian Indu Manickam L. Swiler 65 8 0 20 Mar 2023
Reliable extrapolation of deep neural operators informed by physics or sparse observations Min Zhu Handi Zhang Anran Jiao George Karniadakis Lu Lu 108 100 0 13 Dec 2022
Scalable algorithms for physics-informed neural and graph networks K. Shukla Mengjia Xu N. Trask George Karniadakis PINN AI4CE 131 41 0 16 May 2022
Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport Lu Lu R. Pestourie Steven G. Johnson Giuseppe Romano AI4CE 83 110 0 14 Apr 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 95 176 0 12 Feb 2022
Discretization-independent surrogate modeling over complex geometries using hypernetworks and implicit representations J. Duvall Karthik Duraisamy Shaowu Pan AI4CE 85 4 0 14 Sep 2021
PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEs Pu Ren Chengping Rao Yang Liu Jianxun Wang Hao Sun DiffM AI4CE 136 206 0 26 Jun 2021
Mesh-based graph convolutional neural networks for modeling materials with microstructure A. Frankel Cosmin Safta Coleman Alleman Reese E. Jones 76 15 0 04 Jun 2021
Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domains Hengjie Wang R. Planas Aparna Chandramowlishwaran Ramin Bostanabad AI4CE 149 64 0 22 Apr 2021
A physics-informed operator regression framework for extracting data-driven continuum models Ravi G. Patel N. Trask M. Wood E. Cyr AI4CE 88 105 0 25 Sep 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 261 2,181 0 08 Oct 2019