Structured Mechanical Models for Robot Learning and Control
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Abstract (arXiv)
Model-based methods are the dominant paradigm for controlling robotic systems, though their efficacy depends heavily on the accuracy of the model used. Deep neural networks have been used to learn models of robot dynamics from data, but they suffer from data-inefficiency and the difficulty to incorporate prior knowledge. We introduce Structured Mechanical Models, a flexible model class for mechanical systems that are data-efficient, easily amenable to prior knowledge, and easily usable with model-based control techniques. The goal of this work is to demonstrate the benefits of using Structured Mechanical Models in lieu of black-box neural networks when modeling robot dynamics. We demonstrate that they generalize better from limited data and yield more reliable model-based controllers on a variety of simulated robotic domains.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Apr 2020.
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Citing papers per year: 2020: 1; 2021: 4; 2022: 9; 2023: 4; 2024: 2; 2025: 1.
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- 2022Investigating Compounding Prediction Errors in Learned Dynamics Modelscited by 47
- 2021Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modelingcited by 40
- 2022Deconstructing the Inductive Biases of Hamiltonian Neural Networkscited by 31
- 2021Combining Physics and Deep Learning to learn Continuous-Time Dynamics Modelscited by 20
- 2022Compositional Learning of Dynamical System Models Using Port-Hamiltonian Neural Networkscited by 17
- 2022Taylor-Lagrange Neural Ordinary Differential Equations: Toward Fast Training and Evaluation of Neural ODEscited by 13
- 2024Geometry-Informed Neural Networkscited by 12
- 2023How to Learn and Generalize From Three Minutes of Data: Physics-Constrained and Uncertainty-Aware Neural Stochastic Differential Equationscited by 10
- 2021A Hybrid Rule-Based and Data-Driven Approach to Driver Modeling through Particle Filteringcited by 6
- 2022Guaranteed Conformance of Neurosymbolic Models to Natural Constraintscited by 6
- 2023Data-Driven Control with Inherent Lyapunov Stabilitycited by 6
- 2023Learning Control-Oriented Dynamical Structure from Datacited by 5
9 more
- 2022Learning Modular Simulations for Homogeneous Systemscited by 4
- 2020Nested Mixture of Experts: Cooperative and Competitive Learning of Hybrid Dynamical Systemcited by 3
- 2022Conditional Approximate Normalizing Flows for Joint Multi-Step Probabilistic Forecasting with Application to Electricity Demandcited by 2
- 2022End-to-End Learning of Hybrid Inverse Dynamics Models for Precise and Compliant Impedance Controlcited by 2
- 2022Sample Efficient Dynamics Learning for Symmetrical Legged Robots:Leveraging Physics Invariance and Geometric Symmetriescited by 1
- 2023Physics-Informed Kernel Embeddings: Integrating Prior System Knowledge with Data-Driven Controlcited by 1
- 2024Learning Long-Horizon Predictions for Quadrotor Dynamicscited by 1
- 2025Newtonian and Lagrangian Neural Networks: A Comparison Towards Efficient Inverse Dynamics Identificationcited by 1
- 2021Training Structured Mechanical Models by Minimizing Discrete Euler-Lagrange Residualcited by 0
- 2025Newtonian and Lagrangian Neural Networks: A Comparison Towards Efficient Inverse Dynamics Identification22 Jun 2025
- 2024Learning Long-Horizon Predictions for Quadrotor Dynamics17 Jul 2024
- 2024Geometry-Informed Neural Networks21 Feb 2024
- 2023How to Learn and Generalize From Three Minutes of Data: Physics-Constrained and Uncertainty-Aware Neural Stochastic Differential Equations10 Jun 2023
- 2023Data-Driven Control with Inherent Lyapunov Stability6 Mar 2023
- 2023Learning Control-Oriented Dynamical Structure from Data6 Feb 2023
- 2023Physics-Informed Kernel Embeddings: Integrating Prior System Knowledge with Data-Driven Control9 Jan 2023
- 2022Guaranteed Conformance of Neurosymbolic Models to Natural Constraints2 Dec 2022
- 2022Compositional Learning of Dynamical System Models Using Port-Hamiltonian Neural Networks1 Dec 2022
- 2022Learning Modular Simulations for Homogeneous Systems28 Oct 2022
- 2022Sample Efficient Dynamics Learning for Symmetrical Legged Robots:Leveraging Physics Invariance and Geometric Symmetries13 Oct 2022
- 2022End-to-End Learning of Hybrid Inverse Dynamics Models for Precise and Compliant Impedance Control27 May 2022
9 more
- 2022Investigating Compounding Prediction Errors in Learned Dynamics Models17 Mar 2022
- 2022Deconstructing the Inductive Biases of Hamiltonian Neural Networks10 Feb 2022
- 2022Taylor-Lagrange Neural Ordinary Differential Equations: Toward Fast Training and Evaluation of Neural ODEs14 Jan 2022
- 2022Conditional Approximate Normalizing Flows for Joint Multi-Step Probabilistic Forecasting with Application to Electricity Demand8 Jan 2022
- 2021Combining Physics and Deep Learning to learn Continuous-Time Dynamics Models5 Oct 2021
- 2021Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modeling14 Sep 2021
- 2021A Hybrid Rule-Based and Data-Driven Approach to Driver Modeling through Particle Filtering29 Aug 2021
- 2021Training Structured Mechanical Models by Minimizing Discrete Euler-Lagrange Residual5 May 2021
- 2020Nested Mixture of Experts: Cooperative and Competitive Learning of Hybrid Dynamical System20 Nov 2020
- 2022Investigating Compounding Prediction Errors in Learned Dynamics Modelscited by 47
- 2021Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modelingcited by 40
- 2022Deconstructing the Inductive Biases of Hamiltonian Neural Networkscited by 31
- 2021Combining Physics and Deep Learning to learn Continuous-Time Dynamics Modelscited by 20
- 2022Compositional Learning of Dynamical System Models Using Port-Hamiltonian Neural Networkscited by 17
- 2022Taylor-Lagrange Neural Ordinary Differential Equations: Toward Fast Training and Evaluation of Neural ODEscited by 13
- 2024Geometry-Informed Neural Networkscited by 12
- 2023How to Learn and Generalize From Three Minutes of Data: Physics-Constrained and Uncertainty-Aware Neural Stochastic Differential Equationscited by 10
- 2021A Hybrid Rule-Based and Data-Driven Approach to Driver Modeling through Particle Filteringcited by 6
- 2022Guaranteed Conformance of Neurosymbolic Models to Natural Constraintscited by 6
- 2023Data-Driven Control with Inherent Lyapunov Stabilitycited by 6
- 2023Learning Control-Oriented Dynamical Structure from Datacited by 5
12 most cited of 20 All 20 (JSON)
- 2025Newtonian and Lagrangian Neural Networks: A Comparison Towards Efficient Inverse Dynamics Identification22 Jun 2025
- 2024Learning Long-Horizon Predictions for Quadrotor Dynamics17 Jul 2024
- 2024Geometry-Informed Neural Networks21 Feb 2024
- 2023How to Learn and Generalize From Three Minutes of Data: Physics-Constrained and Uncertainty-Aware Neural Stochastic Differential Equations10 Jun 2023
- 2023Data-Driven Control with Inherent Lyapunov Stability6 Mar 2023
- 2023Learning Control-Oriented Dynamical Structure from Data6 Feb 2023
- 2023Physics-Informed Kernel Embeddings: Integrating Prior System Knowledge with Data-Driven Control9 Jan 2023
- 2022Guaranteed Conformance of Neurosymbolic Models to Natural Constraints2 Dec 2022
- 2022Compositional Learning of Dynamical System Models Using Port-Hamiltonian Neural Networks1 Dec 2022
- 2022Learning Modular Simulations for Homogeneous Systems28 Oct 2022
- 2022Sample Efficient Dynamics Learning for Symmetrical Legged Robots:Leveraging Physics Invariance and Geometric Symmetries13 Oct 2022
- 2022End-to-End Learning of Hybrid Inverse Dynamics Models for Precise and Compliant Impedance Control27 May 2022
12 newest of 20 All 20 (JSON)