Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Physical deep learning based on optimal control of dynamical systems   Deep learning is the backbone of artificial intelligence technologies, and it
can be regarded as a kind of multilayer feedforward neural network. An essence
of deep learning is information propagation through layers. This suggests that
there is a connection between deep neural networks and dynamical systems in the
sense that information propagation is explicitly modeled by the time-evolution
of dynamical systems. In this study, we perform pattern recognition based on
the optimal control of continuous-time dynamical systems, which is suitable for
physical hardware implementation. The learning is based on the adjoint method
to optimally control dynamical systems, and the deep (virtual) network
structures based on the time evolution of the systems are used for processing
input information. As a key example, we apply the dynamics-based recognition
approach to an optoelectronic delay system and demonstrate that the use of the
delay system allows for image recognition and nonlinear classifications using
only a few control signals. This is in contrast to conventional multilayer
neural networks, which require a large number of weight parameters to be
trained. The proposed approach provides insight into the mechanisms of deep
network processing in the framework of an optimal control problem and presents
a pathway for realizing physical computing hardware.

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas