DyNODE: Neural Ordinary Differential Equations for Dynamics Modeling in Continuous Control
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Abstract (arXiv)
We present a novel approach (DyNODE) that captures the underlying dynamics of a system by incorporating control in a neural ordinary differential equation framework. We conduct a systematic evaluation and comparison of our method and standard neural network architectures for dynamics modeling. Our results indicate that a simple DyNODE architecture when combined with an actor-critic reinforcement learning (RL) algorithm that uses model predictions to improve the critic's target values, outperforms canonical neural networks, both in sample efficiency and predictive performance across a diverse range of continuous tasks that are frequently used to benchmark RL algorithms. This approach provides a new avenue for the development of models that are more suited to learn the evolution of dynamical systems, particularly useful in the context of model-based reinforcement learning. To assist related work, we have made code available at https://github.com/vmartinezalvarez/DyNODE .
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Sep 2020.
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Citing papers per year: 2021: 1; 2022: 4; 2023: 0; 2024: 2; 2025: 3; 2026: 7.
17 papers.
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- 2022Deconstructing the Inductive Biases of Hamiltonian Neural Networkscited by 31
- 2025True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statisticscited by 20
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstructioncited by 18
- 2022Neural Ordinary Differential Equations for Nonlinear System Identificationcited by 14
- 2024Automatically Learning Hybrid Digital Twins of Dynamical Systemscited by 13
- 2021Learning Contact Dynamics using Physically Structured Neural Networkscited by 10
- 2022On the Forward Invariance of Neural ODEscited by 10
- 2025G-Sim: Generative Simulations with Large Language Models and Gradient-Free Calibrationcited by 8
- 2022Myriad: a real-world testbed to bridge trajectory optimization and deep learningcited by 5
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networkscited by 3
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modelingcited by 3
- 2025Exploring Neural Ordinary Differential Equations as Interpretable Healthcare classifierscited by 1
5 more
- 2026Parallel-in-Time Training of Recurrent Neural Networks for Dynamical Systems Reconstructioncited by 0
- 2026Topological Out-of-Domain Generalization in Dynamical Systems Reconstructioncited by 0
- 2026DT2: Decision-Targeted Digital Twinscited by 0
- 2026A Minimal Interpretable Architecture for Zero-Shot Reconstruction of Dynamical Systemscited by 0
- 2026Flowing Through States: Neural ODE Regularization for Reinforcement Learningcited by 0
- 2026Flowing Through States: Neural ODE Regularization for Reinforcement Learning6 Aug 2026
- 2026A Minimal Interpretable Architecture for Zero-Shot Reconstruction of Dynamical Systems16 Jul 2026
- 2026DT2: Decision-Targeted Digital Twins24 Jun 2026
- 2026Topological Out-of-Domain Generalization in Dynamical Systems Reconstruction22 Jun 2026
- 2026Parallel-in-Time Training of Recurrent Neural Networks for Dynamical Systems Reconstruction12 May 2026
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modeling18 Feb 2026
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networks17 Feb 2026
- 2025G-Sim: Generative Simulations with Large Language Models and Gradient-Free Calibration10 Jun 2025
- 2025True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics19 May 2025
- 2025Exploring Neural Ordinary Differential Equations as Interpretable Healthcare classifiers5 Mar 2025
- 2024Automatically Learning Hybrid Digital Twins of Dynamical Systems31 Oct 2024
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction18 Oct 2024
5 more
- 2022On the Forward Invariance of Neural ODEs10 Oct 2022
- 2022Neural Ordinary Differential Equations for Nonlinear System Identification28 Feb 2022
- 2022Myriad: a real-world testbed to bridge trajectory optimization and deep learning22 Feb 2022
- 2022Deconstructing the Inductive Biases of Hamiltonian Neural Networks10 Feb 2022
- 2021Learning Contact Dynamics using Physically Structured Neural Networks22 Feb 2021
- 2022Deconstructing the Inductive Biases of Hamiltonian Neural Networkscited by 31
- 2025True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statisticscited by 20
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstructioncited by 18
- 2022Neural Ordinary Differential Equations for Nonlinear System Identificationcited by 14
- 2024Automatically Learning Hybrid Digital Twins of Dynamical Systemscited by 13
- 2021Learning Contact Dynamics using Physically Structured Neural Networkscited by 10
- 2022On the Forward Invariance of Neural ODEscited by 10
- 2025G-Sim: Generative Simulations with Large Language Models and Gradient-Free Calibrationcited by 8
- 2022Myriad: a real-world testbed to bridge trajectory optimization and deep learningcited by 5
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networkscited by 3
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modelingcited by 3
- 2025Exploring Neural Ordinary Differential Equations as Interpretable Healthcare classifierscited by 1
12 most cited of 17 All 17 (JSON)
- 2026Flowing Through States: Neural ODE Regularization for Reinforcement Learning6 Aug 2026
- 2026A Minimal Interpretable Architecture for Zero-Shot Reconstruction of Dynamical Systems16 Jul 2026
- 2026DT2: Decision-Targeted Digital Twins24 Jun 2026
- 2026Topological Out-of-Domain Generalization in Dynamical Systems Reconstruction22 Jun 2026
- 2026Parallel-in-Time Training of Recurrent Neural Networks for Dynamical Systems Reconstruction12 May 2026
- 2026Position: A Dynamical Systems Perspective is Needed to Advance Time Series Modeling18 Feb 2026
- 2026Continuous-Time Piecewise-Linear Recurrent Neural Networks17 Feb 2026
- 2025G-Sim: Generative Simulations with Large Language Models and Gradient-Free Calibration10 Jun 2025
- 2025True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics19 May 2025
- 2025Exploring Neural Ordinary Differential Equations as Interpretable Healthcare classifiers5 Mar 2025
- 2024Automatically Learning Hybrid Digital Twins of Dynamical Systems31 Oct 2024
- 2024Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction18 Oct 2024
12 newest of 17 All 17 (JSON)