Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling System Dynamics with Physics-Informed Neural Networks Based on
  Lagrangian Mechanics   Identifying accurate dynamic models is required for the simulation and
control of various technical systems. In many important real-world
applications, however, the 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. Additionally, purely
data-based models often require large amounts of data and are often difficult
to interpret. In this paper, we present physics-informed neural ordinary
differential equations (PINODE), a hybrid model that combines the two modeling
techniques to overcome the aforementioned problems. This new approach directly
incorporates the equations of motion originating from the Lagrange Mechanics
into a deep neural network structure. Thus, we can integrate prior physics
knowledge where it is available and use function approximation--e. g., neural
networks--where it is not. The method is tested with a forward model of a
real-world physical system with large uncertainties. The resulting model is
accurate and data-efficient while ensuring physical plausibility. With this, we
demonstrate a method that beneficially merges physical insight with real data.
Our findings are of interest for model-based control and system identification
of mechanical systems.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys