Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis on the Nonlinear Dynamics of Deep Neural Networks: Topological
  Entropy and Chaos   The theoretical explanation for deep neural network (DNN) is still an open
problem. In this paper DNN is considered as a discrete-time dynamical system
due to its layered structure. The complexity provided by the nonlinearity in
the dynamics is analyzed in terms of topological entropy and chaos
characterized by Lyapunov exponents. The properties revealed for the dynamics
of DNN are applied to analyze the corresponding capabilities of classification
and generalization.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int