Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deep neural networks as nested dynamical systems   There is an analogy that is often made between deep neural networks and
actual brains, suggested by the nomenclature itself: the "neurons" in deep
neural networks should correspond to neurons (or nerve cells, to avoid
confusion) in the brain. We claim, however, that this analogy doesn't even type
check: it is structurally flawed. In agreement with the slightly glib summary
of Hebbian learning as "cells that fire together wire together", this article
makes the case that the analogy should be different. Since the "neurons" in
deep neural networks are managing the changing weights, they are more akin to
the synapses in the brain; instead, it is the wires in deep neural networks
that are more like nerve cells, in that they are what cause the information to
flow. An intuition that nerve cells seem like more than mere wires is exactly
right, and is justified by a precise category-theoretic analogy which we will
explore in this article. Throughout, we will continue to highlight the error in
equating artificial neurons with nerve cells by leaving "neuron" in quotes or
by calling them artificial neurons.
  We will first explain how to view deep neural networks as nested dynamical
systems with a very restricted sort of interaction pattern, and then explain a
more general sort of interaction for dynamical systems that is useful
throughout engineering, but which fails to adapt to changing circumstances. As
mentioned, an analogy is then forced upon us by the mathematical formalism in
which they are both embedded. We call the resulting encompassing generalization
deeply interacting learning systems: they have complex interaction as in
control theory, but adaptation to circumstances as in deep neural networks.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con