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Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems

29 March 2022

Papers citing "Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems"

30 / 30 papers shown

Title
Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaos Chris Pedersen L. Zanna Joan Bruna 97 5 0 24 Mar 2025
Deep Learning for Time Series Forecasting: A Survey X. Kong Zhenghao Chen Weiyao Liu Kaili Ning Lechao Zhang Syauqie Muhammad Marier Yichen Liu Yuhao Chen Xiwei Xu AI4TS AI4CE 95 7 0 13 Mar 2025
Exploring Neural Ordinary Differential Equations as Interpretable Healthcare classifiers Shi Li AI4CE 94 0 0 05 Mar 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 86 1 0 28 Feb 2025
Invariant Measures for Data-Driven Dynamical System Identification: Analysis and Application Jonah Botvinick-Greenhouse 92 0 0 31 Jan 2025
Training Stiff Neural Ordinary Differential Equations with Explicit Exponential Integration Methods Colby Fronk Linda R. Petzold 136 2 0 02 Dec 2024
Mitigating Time Discretization Challenges with WeatherODE: A Sandwich Physics-Driven Neural ODE for Weather Forecasting Peiyuan Liu Tian Zhou Liang Sun Rong Jin AI4CE 63 0 0 09 Oct 2024
Training Stiff Neural Ordinary Differential Equations with Implicit Single-Step Methods Colby Fronk Linda R. Petzold 90 5 0 08 Oct 2024
Improved deep learning of chaotic dynamical systems with multistep penalty losses Dibyajyoti Chakraborty Seung Whan Chung Ashesh Chattopadhyay R. Maulik AI4CE 54 1 0 08 Oct 2024
Stability analysis of chaotic systems in latent spaces Elise Özalp Luca Magri 89 3 0 01 Oct 2024
On latent dynamics learning in nonlinear reduced order modeling N. Farenga S. Fresca Simone Brivio Andrea Manzoni AI4CE 69 1 0 27 Aug 2024
On instabilities in neural network-based physics simulators Daniel Floryan AI4CE 73 2 0 18 Jun 2024
Data-driven low-dimensional model of a sedimenting flexible fiber Andrew J Fox Michael D. Graham AI4CE 75 2 0 16 May 2024
Machine-Learned Closure of URANS for Stably Stratified Turbulence: Connecting Physical Timescales & Data Hyperparameters of Deep Time-Series Models Muralikrishnan Gopalakrishnan Meena Demetri Liousas Andrew D. Simin Aditya Kashi Wesley Brewer James J. Riley S. D. B. Kops AI4TS AI4CE 64 1 0 24 Apr 2024
Systematic construction of continuous-time neural networks for linear dynamical systems Chinmay Datar Adwait Datar Felix Dietrich W. Schilders AI4TS 58 1 0 24 Mar 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction Niclas Alexander Göring Florian Hess Manuel Brenner Zahra Monfared Daniel Durstewitz AI4CE 105 16 0 28 Feb 2024
Generative Learning for Forecasting the Dynamics of Complex Systems Han Gao Sebastian Kaltenbach Petros Koumoutsakos AI4TS AI4CE 123 8 0 27 Feb 2024
Enhancing Dynamical System Modeling through Interpretable Machine Learning Augmentations: A Case Study in Cathodic Electrophoretic Deposition Christian L. Jacobsen Jiayuan Dong Mehdi Khalloufi Xun Huan Karthik Duraisamy Maryam Akram Wanjiao Liu 75 1 0 16 Jan 2024
AI-Lorenz: A physics-data-driven framework for black-box and gray-box identification of chaotic systems with symbolic regression Mario De Florio Ioannis G. Kevrekidis George Karniadakis 96 17 0 21 Dec 2023
Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow Carlos E. Pérez De Jesús Alec J. Linot Michael D. Graham AI4CE 94 2 0 15 Dec 2023
Operator Learning for Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods Chuanqi Chen Jin-Long Wu AI4CE 68 6 0 20 Nov 2023
Enhancing Predictive Capabilities in Data-Driven Dynamical Modeling with Automatic Differentiation: Koopman and Neural ODE Approaches Ricardo Constante-Amores Alec J. Linot Michael D. Graham 76 10 0 10 Oct 2023
Interpretable learning of effective dynamics for multiscale systems Emmanuel Menier Sebastian Kaltenbach Mouadh Yagoubi Marc Schoenauer Petros Koumoutsakos AI4CE 79 7 0 11 Sep 2023
A Multifidelity deep operator network approach to closure for multiscale systems Shady E. Ahmed P. Stinis AI4CE 76 13 0 15 Mar 2023
Quantifying uncertainty for deep learning based forecasting and flow-reconstruction using neural architecture search ensembles R. Maulik Romain Egele Krishnan Raghavan Prasanna Balaprakash UQCV AI4TS AI4CE 65 6 0 20 Feb 2023
Turbulence control in plane Couette flow using low-dimensional neural ODE-based models and deep reinforcement learning Alec J. Linot Kevin Zeng M. Graham AI4CE 54 19 0 28 Jan 2023
Dynamics of a data-driven low-dimensional model of turbulent minimal Couette flow Alec J. Linot M. Graham AI4CE 55 22 0 11 Jan 2023
Learning Subgrid-scale Models with Neural Ordinary Differential Equations Shinhoo Kang Emil M. Constantinescu AI4CE 76 7 0 20 Dec 2022
Deep learning delay coordinate dynamics for chaotic attractors from partial observable data Charles D. Young M. Graham 37 16 0 20 Nov 2022
Data-Driven Reduced-Order Modeling of Spatiotemporal Chaos with Neural Ordinary Differential Equations Alec J. Linot M. Graham 60 51 0 31 Aug 2021