Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Physics Guided RNNs for Modeling Dynamical Systems: A Case Study in
  Simulating Lake Temperature Profiles   This paper proposes a physics-guided recurrent neural network model (PGRNN)
that combines RNNs and physics-based models to leverage their complementary
strengths and improve the modeling of physical processes. Specifically, we show
that a PGRNN can improve prediction accuracy over that of physical models,
while generating outputs consistent with physical laws, and achieving good
generalizability. Standard RNNs, even when producing superior prediction
accuracy, often produce physically inconsistent results and lack
generalizability. We further enhance this approach by using a pre-training
method that leverages the simulated data from a physics-based model to address
the scarcity of observed data. The PGRNN has the flexibility to incorporate
additional physical constraints and we incorporate a density-depth
relationship. Both enhancements further improve PGRNN performance. Although we
present and evaluate this methodology in the context of modeling the dynamics
of temperature in lakes, it is applicable more widely to a range of scientific
and engineering disciplines where mechanistic (also known as process-based)
models are used, e.g., power engineering, climate science, materials science,
computational chemistry, and biomedicine.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org