Deep transfer operator learning for partial differential equations under
conditional shift

Deep transfer operator learning for partial differential equations under conditional shift

20 April 2022

Katiana Kontolati

Michael D. Shields

George Karniadakis

Papers citing "Deep transfer operator learning for partial differential equations under conditional shift"

11 / 11 papers shown

Title
A Physics-preserved Transfer Learning Method for Differential Equations Hao-Ran Yang Chuan-Xian Ren 143 0 0 02 May 2025
Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems Nicholas Karris Evangelos A. Nikitopoulos Ioannis G. Kevrekidis Seungjoon Lee Alexander Cloninger OT 45 0 0 10 Jan 2025
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 39 5 0 12 Jun 2024
Learning solution operators of PDEs defined on varying domains via MIONet Shanshan Xiao Pengzhan Jin Yifa Tang 47 3 0 23 Feb 2024
In-Context Operator Learning with Data Prompts for Differential Equation Problems Liu Yang Siting Liu Tingwei Meng Stanley J. Osher 40 59 0 17 Apr 2023
Neural Operator Learning for Long-Time Integration in Dynamical Systems with Recurrent Neural Networks K. Michałowska S. Goswami George Karniadakis S. Riemer-Sørensen AI4CE 15 15 0 03 Mar 2023
L-HYDRA: Multi-Head Physics-Informed Neural Networks Zongren Zou George Karniadakis AI4CE 18 26 0 05 Jan 2023
Explaining the physics of transfer learning a data-driven subgrid-scale closure to a different turbulent flow Adam Subel Yifei Guan A. Chattopadhyay P. Hassanzadeh AI4CE 29 41 0 07 Jun 2022
Towards Size-Independent Generalization Bounds for Deep Operator Nets Pulkit Gopalani Sayar Karmakar Dibyakanti Kumar Anirbit Mukherjee AI4CE 24 5 0 23 May 2022
Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domains Hengjie Wang R. Planas Aparna Chandramowlishwaran Ramin Bostanabad AI4CE 50 61 0 22 Apr 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 217 2,287 0 18 Oct 2020