Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rapid Phase-Resolved Prediction of Nonlinear Dispersive Waves Using
  Machine Learning   In this paper, we show that a revised convolutional recurrent neural network
(CRNN) can decrease, by orders of magnitude, the time needed for the
phase-resolved prediction of waves in a spatiotemporal domain of a nonlinear
dispersive wave field. The problem of predicting such waves suffers from two
major challenges that have so far hindered analytical or direct computational
solutions in real time or faster: (i) the reconstruction problem, that is, how
one can calculate from measurable wave amplitude data the state of the wave
field (wave components, nonlinear couplings, etc.), and (ii) if such a
reconstruction is in hand, how to integrate equations fast enough to be able to
predict an upcoming rouge wave in a timely manner. Here, we demonstrate that
these two challenges can be overcome at once through advanced machine learning
techniques based on spatiotemporal patches of the time history of wave height
data in the domain. Specifically, as a benchmark here we consider equations
that govern the evolution of weakly nonlinear surface gravity waves such as
those propagating on the surface of the oceans. For the case of oceanic surface
waves considered here, we demonstrate that the proposed methodology, while
maintaining a high accuracy, can make phase-resolved predictions more than two
orders of magnitude faster than numerically integrating governing equations.

30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat