Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers

22 August 2020

Steven L. Brunton

Papers citing "Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers"

29 / 29 papers shown

Title
MORPH: Shape-agnostic PDE Foundation Models Mahindra Singh Rautela Alexander Buschmann Most Siddharth Mansingh Bradley Love Ayan Biswas Diane Oyen Earl Lawrence AI4TS AI4CE 82 0 0 25 Sep 2025
When are dynamical systems learned from time series data statistically accurate?Neural Information Processing Systems (NeurIPS), 2024 Jeongjin Park Nicole Yang Nisha Chandramoorthy AI4TS 149 7 0 09 Nov 2024
Parallel-in-Time Solutions with Random Projection Neural Networks M. Betcke L. Kreusser Davide Murari 84 2 0 19 Aug 2024
Defining error accumulation in ML atmospheric simulators R. Parthipan Mohit Anand Hannah M. Christensen J. S. Hosking Damon J. Wischik 76 3 0 23 May 2024
Enhancing Computational Efficiency in Multiscale Systems Using Deep Learning of Coordinates and Flow Maps Asif Hamid Danish Rafiq S. A. Nahvi M. A. Bazaz AI4CE 120 0 0 28 Apr 2024
Multi-Hierarchical Surrogate Learning for Structural Dynamical Crash Simulations Using Graph Convolutional Neural Networks Jonas Kneifl Jörg Fehr Steven L. Brunton J. Nathan Kutz AI4CE 106 1 0 14 Feb 2024
A Physics-informed machine learning model for time-dependent wave runup predictionOcean Engineering (Ocean Eng.), 2024 Saeed Saviz Naeini Reda Snaiki AI4CE 62 10 0 12 Jan 2024
Hierarchical deep learning-based adaptive time-stepping scheme for multiscale simulationsEngineering applications of artificial intelligence (Eng. Appl. Artif. Intell.), 2023 Asif Hamid Danish Rafiq S. A. Nahvi M. A. Bazaz AI4CE 133 2 0 10 Nov 2023
Multi-scale Time-stepping of Partial Differential Equations with TransformersComputer Methods in Applied Mechanics and Engineering (CMAME), 2023 AmirPouya Hemmasian A. Farimani AI4CE 142 15 0 03 Nov 2023
InvKA: Gait Recognition via Invertible Koopman Autoencoder Fan Li Dong Liang Jing Lian Qidong Liu Hegui Zhu Jizhao Liu CVBM 134 2 0 26 Sep 2023
Renormalizing Diffusion Models Jordan S. Cotler Semon Rezchikov DiffM AI4CE 146 14 0 23 Aug 2023
Machine learning for advancing low-temperature plasma modeling and simulation J. Trieschmann Luca Vialetto T. Gergs AI4CE 190 7 0 30 Jun 2023
Taylorformer: Probabilistic Predictions for Time Series and other Processes Omer Nivron R. Parthipan Damon J. Wischik BDL AI4TS 132 2 0 30 May 2023
A Multi-step Dynamics Modeling Framework For Autonomous Driving In Multiple EnvironmentsIEEE International Conference on Robotics and Automation (ICRA), 2023 Jason Gibson Loris Bozzato David D. Fan Rafael Kiesel Daria Stepanova Ali-akbar Agha-mohammadi Evangelos A. Theodorou 94 16 0 03 May 2023
Latent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes Francesco Regazzoni S. Pagani M. Salvador Luca Dede' A. Quarteroni AI4CE 111 8 0 28 Apr 2023
Adaptive learning of effective dynamics: Adaptive real-time, online modeling for complex systems Ivica Kicic Pantelis R. Vlachas G. Arampatzis Michail Chatzimanolakis Leonidas Guibas Petros Koumoutsakos AI4CE 107 7 0 04 Apr 2023
Feature-adjacent multi-fidelity physics-informed machine learning for partial differential equations Wenqian Chen P. Stinis OOD AI4CE 211 8 0 21 Mar 2023
Leveraging Jumpy Models for Planning and Fast Learning in Robotic Domains Jingwei Zhang Jost Tobias Springenberg Arunkumar Byravan Leonard Hasenclever A. Abdolmaleki Dushyant Rao N. Heess Martin Riedmiller 107 5 0 24 Feb 2023
Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations Arnulf Jentzen Adrian Riekert Philippe von Wurstemberger 178 1 0 07 Feb 2023
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flowsScientific Reports (Sci Rep), 2022 Ivan Zanardi Simone Venturi M. Panesi AI4CE 166 20 0 27 Oct 2022
Using Probabilistic Machine Learning to Better Model Temporal Patterns in Parameterizations: a case study with the Lorenz 96 modelGeoscientific Model Development (GMD), 2022 R. Parthipan H. Christensen J. S. Hosking Damon J. Wischik AI4CE 125 10 0 28 Mar 2022
Deep Surrogate for Direct Time Fluid Dynamics Lucas Meyer Louen Pottier Alejandro Ribés Bruno Raffin AI4CE 101 7 0 16 Dec 2021
Physics and Equality Constrained Artificial Neural Networks: Application to Forward and Inverse Problems with Multi-fidelity Data Fusion S. Basir Inanc Senocak PINN AI4CE 183 85 0 30 Sep 2021
Structure-preserving Sparse Identification of Nonlinear Dynamics for Data-driven Modeling Kookjin Lee Nathaniel Trask P. Stinis 132 31 0 11 Sep 2021
Learning Dissipative Dynamics in Chaotic Systems Zong-Yi Li Miguel Liu-Schiaffini Nikola B. Kovachki Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 185 39 0 13 Jun 2021
Accelerating Dynamical System Simulations with Contracting and Physics-Projected Neural-Newton SolversConference on Learning for Dynamics & Control (L4DC), 2021 Samuel C. Chevalier Jochen Stiasny Spyros Chatzivasileiadis 179 3 0 04 Jun 2021
Efficient time stepping for numerical integration using reinforcement learningSIAM Journal on Scientific Computing (SISC), 2021 M. Dellnitz Eyke Hüllermeier M. Lucke Sina Ober-Blobaum Christian Offen Sebastian Peitz Karlson Pfannschmidt 60 7 0 08 Apr 2021
DeepGreen: Deep Learning of Green's Functions for Nonlinear Boundary Value ProblemsScientific Reports (Sci Rep), 2020 Craig Gin D. Shea Steven L. Brunton J. Nathan Kutz 156 101 0 31 Dec 2020
Discovery of Governing Equations with Recursive Deep Neural NetworksCommunication on Applied Mathematics and Computation (CAMC), 2020 Jia Zhao Jarrod Mau PINN 102 7 0 24 Sep 2020