Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning Wave Propagation with Attention-Based Convolutional Recurrent
  Autoencoder Net   In this paper, we present an end-to-end attention-based convolutional
recurrent autoencoder network (AB-CRAN) for data-driven modeling of wave
propagation phenomena. To construct the low-dimensional learning model, we
employ a denoising-based convolutional autoencoder from the full-order
snapshots of wave propagation generated by solving hyperbolic partial
differential equations. The proposed deep neural network architecture relies on
the attention-based recurrent neural network with long short-term memory cells.
We assess the proposed AB-CRAN framework against the recurrent neural network
for the low-dimensional learning of wave propagation. To demonstrate the
effectiveness of the AB-CRAN model, we consider three benchmark problems namely
one-dimensional linear convection, nonlinear viscous Burgers, and a
two-dimensional Saint-Venant shallow water system. Using the time-series
datasets from the benchmark problems, our novel AB-CRAN architecture accurately
captures the wave amplitude and preserves the wave characteristics of the
solution for long time horizons. The attention-based sequence-to-sequence
network increases the time-horizon of prediction by five times compared to the
standard recurrent neural network with long short-term memory cells. Denoising
autoencoder further reduces the mean squared error of prediction and improves
the generalization capability in the parameter space.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph