Multi-Objective Physics-Guided Recurrent Neural Networks for Identifying
Non-Autonomous Dynamical Systems
- URL: http://arxiv.org/abs/2204.12972v1
- Date: Wed, 27 Apr 2022 14:33:02 GMT
- Title: Multi-Objective Physics-Guided Recurrent Neural Networks for Identifying
Non-Autonomous Dynamical Systems
- Authors: Oliver Sch\"on, Ricarda-Samantha G\"otte, Julia Timmermann
- Abstract summary: We propose a physics-guided hybrid approach for modeling non-autonomous systems under control.
This is extended by a recurrent neural network and trained using a sophisticated multi-objective strategy.
Experiments conducted on real data reveal substantial accuracy improvements by our approach compared to a physics-based model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: While trade-offs between modeling effort and model accuracy remain a major
concern with system identification, resorting to data-driven methods often
leads to a complete disregard for physical plausibility. To address this issue,
we propose a physics-guided hybrid approach for modeling non-autonomous systems
under control. Starting from a traditional physics-based model, this is
extended by a recurrent neural network and trained using a sophisticated
multi-objective strategy yielding physically plausible models. While purely
data-driven methods fail to produce satisfying results, experiments conducted
on real data reveal substantial accuracy improvements by our approach compared
to a physics-based model.
Related papers
- Hybrid Adaptive Modeling using Neural Networks Trained with Nonlinear Dynamics Based Features [5.652228574188242]
This paper introduces a novel approach that departs from standard techniques by uncovering information from nonlinear dynamical modeling and embedding it in data-based models.
By explicitly incorporating nonlinear dynamic phenomena through perturbation methods, the predictive capabilities are more realistic and insightful compared to knowledge obtained from brute-force numerical simulations.
arXiv Detail & Related papers (2025-01-21T02:38:28Z) - MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling [2.1303885995425635]
We propose a novel machine learning architecture, termed model-integrated neural networks (MINN)
MINN learns the physics-based dynamics of general autonomous or non-autonomous systems consisting of partial differential-algebraic equations (PDAEs)
We apply the proposed neural network architecture to model the electrochemical dynamics of lithium-ion batteries.
arXiv Detail & Related papers (2023-04-27T09:11:40Z) - Capturing dynamical correlations using implicit neural representations [85.66456606776552]
We develop an artificial intelligence framework which combines a neural network trained to mimic simulated data from a model Hamiltonian with automatic differentiation to recover unknown parameters from experimental data.
In doing so, we illustrate the ability to build and train a differentiable model only once, which then can be applied in real-time to multi-dimensional scattering data.
arXiv Detail & Related papers (2023-04-08T07:55:36Z) - Physics-Inspired Temporal Learning of Quadrotor Dynamics for Accurate
Model Predictive Trajectory Tracking [76.27433308688592]
Accurately modeling quadrotor's system dynamics is critical for guaranteeing agile, safe, and stable navigation.
We present a novel Physics-Inspired Temporal Convolutional Network (PI-TCN) approach to learning quadrotor's system dynamics purely from robot experience.
Our approach combines the expressive power of sparse temporal convolutions and dense feed-forward connections to make accurate system predictions.
arXiv Detail & Related papers (2022-06-07T13:51:35Z) - Gradient-Based Trajectory Optimization With Learned Dynamics [80.41791191022139]
We use machine learning techniques to learn a differentiable dynamics model of the system from data.
We show that a neural network can model highly nonlinear behaviors accurately for large time horizons.
In our hardware experiments, we demonstrate that our learned model can represent complex dynamics for both the Spot and Radio-controlled (RC) car.
arXiv Detail & Related papers (2022-04-09T22:07:34Z) - Learning continuous models for continuous physics [94.42705784823997]
We develop a test based on numerical analysis theory to validate machine learning models for science and engineering applications.
Our results illustrate how principled numerical analysis methods can be coupled with existing ML training/testing methodologies to validate models for science and engineering applications.
arXiv Detail & Related papers (2022-02-17T07:56:46Z) - Leveraging the structure of dynamical systems for data-driven modeling [111.45324708884813]
We consider the impact of the training set and its structure on the quality of the long-term prediction.
We show how an informed design of the training set, based on invariants of the system and the structure of the underlying attractor, significantly improves the resulting models.
arXiv Detail & Related papers (2021-12-15T20:09:20Z) - Constructing Neural Network-Based Models for Simulating Dynamical
Systems [59.0861954179401]
Data-driven modeling is an alternative paradigm that seeks to learn an approximation of the dynamics of a system using observations of the true system.
This paper provides a survey of the different ways to construct models of dynamical systems using neural networks.
In addition to the basic overview, we review the related literature and outline the most significant challenges from numerical simulations that this modeling paradigm must overcome.
arXiv Detail & Related papers (2021-11-02T10:51:42Z) - Physics-guided Deep Markov Models for Learning Nonlinear Dynamical
Systems with Uncertainty [6.151348127802708]
We propose a physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM)
The proposed framework takes advantage of the expressive power of deep learning, while retaining the driving physics of the dynamical system.
arXiv Detail & Related papers (2021-10-16T16:35:12Z) - Modeling System Dynamics with Physics-Informed Neural Networks Based on
Lagrangian Mechanics [3.214927790437842]
Two main modeling approaches often fail to meet requirements: first principles methods suffer from high bias, whereas data-driven modeling tends to have high variance.
We present physics-informed neural ordinary differential equations (PINODE), a hybrid model that combines the two modeling techniques to overcome the aforementioned problems.
Our findings are of interest for model-based control and system identification of mechanical systems.
arXiv Detail & Related papers (2020-05-29T15:10:43Z) - Physics-based polynomial neural networks for one-shot learning of
dynamical systems from one or a few samples [0.0]
The paper describes practical results on both a simple pendulum and one of the largest worldwide X-ray source.
It is demonstrated in practice that the proposed approach allows recovering complex physics from noisy, limited, and partial observations.
arXiv Detail & Related papers (2020-05-24T09:27:10Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.