Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holography as deep learning   Quantum many-body problem with exponentially large degrees of freedom can be
reduced to a tractable computational form by neural network method \cite{CT}.
The power of deep neural network (DNN) based on deep learning is clarified by
mapping it to renormalization group (RG), which may shed lights on holographic
principle by identifying a sequence of RG transformations to the AdS geometry.
In this essay, we show that any network which reflects RG process has intrinsic
hyperbolic geometry, and discuss the structure of entanglement encoded in the
graph of DNN. We find the entanglement structure of deep neural network is of
Ryu-Takayanagi form. Based on these facts, we argue that the emergence of
holographic gravitational theory is related to deep learning process of the
quantum field theory.

30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin