Deep Learning Models for Global Coordinate Transformations that
Linearize PDEs

Deep Learning Models for Global Coordinate Transformations that Linearize PDEs

7 November 2019

Steven L. Brunton

Papers citing "Deep Learning Models for Global Coordinate Transformations that Linearize PDEs"

17 / 17 papers shown

Title
Learning dynamically inspired invariant subspaces for Koopman and transfer operator approximation Gary Froyland Kevin Kühl 38 0 0 08 May 2025
Deep Learning of the Evolution Operator Enables Forecasting of Out-of-Training Dynamics in Chaotic Systems Ira J. S. Shokar Peter H. Haynes R. Kerswell AI4TS 40 1 0 28 Feb 2025
Transformer-based Koopman Autoencoder for Linearizing Fisher's Equation Kanav Singh Rana Nitu Kumari AI4CE 73 0 0 03 Dec 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 50 7 0 02 Oct 2024
Learning Physics From Video: Unsupervised Physical Parameter Estimation for Continuous Dynamical Systems Alejandro Castañeda Garcia Jan van Gemert Daan Brinks Nergis Tömen 38 0 0 02 Oct 2024
Designing explainable artificial intelligence with active inference: A framework for transparent introspection and decision-making Mahault Albarracin Ines Hipólito Safae Essafi Tremblay Jason G. Fox Gabriel René Karl J. Friston M. Ramstead 26 11 0 06 Jun 2023
Fast Dynamic 1D Simulation of Divertor Plasmas with Neural PDE Surrogates Y. Poels G. Derks E. Westerhof Koen Minartz Sven Wiesen Vlado Menkovski 3DGS AI4CE 24 16 0 30 May 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 45 20 0 30 Mar 2023
Koopman neural operator as a mesh-free solver of non-linear partial differential equations Wei Xiong Xiaomeng Huang Ziyang Zhang Ruixuan Deng Pei Sun Yang Tian AI4CE 17 32 0 24 Jan 2023
KoopmanLab: machine learning for solving complex physics equations Wei Xiong Muyuan Ma Xiaomeng Huang Ziyang Zhang Pei Sun Yang Tian AI4CE 26 13 0 03 Jan 2023
Physics-Informed Koopman Network Yuying Liu A. Sholokhov Hassan Mansour S. Nabi AI4CE 31 3 0 17 Nov 2022
An AI-based Domain-Decomposition Non-Intrusive Reduced-Order Model for Extended Domains applied to Multiphase Flow in Pipes Claire E. Heaney Zef Wolffs Jón Atli Tómasson L. Kahouadji P. Salinas A. Nicolle Omar K. Matar Ionel M. Navon N. Srinil Christopher C. Pain AI4CE 29 21 0 13 Feb 2022
Manifold embedding data-driven mechanics B. Bahmani WaiChing Sun PINN AI4CE 31 9 0 18 Dec 2021
Physics-aware registration based auto-encoder for convection dominated PDEs R. Mojgani Maciej Balajewicz DiffM AI4CE 15 25 0 28 Jun 2020
Multiresolution Convolutional Autoencoders Yuying Liu Colin Ponce Steven L. Brunton J. Nathan Kutz SyDa 6 30 0 10 Apr 2020
Multi-level Convolutional Autoencoder Networks for Parametric Prediction of Spatio-temporal Dynamics Jiayang Xu Karthik Duraisamy AI4CE 20 140 0 23 Dec 2019
Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics C. Wehmeyer Frank Noé AI4CE BDL 111 356 0 30 Oct 2017