Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The most probable neural circuit exhibits low-dimensional sustained
  activity   Cortical neurons whose activity is recorded in behavioral experiments has
been classified into several types such as stimulus-related neurons,
delay-period neurons, and reward-related neurons. Moreover, the population
activity of neurons during a reaching task can be described by dynamics in
low-dimensional space. These results suggest that the low-dimensional dynamics
of a few types of neurons emerge in the cerebral cortex that is trained to
perform a task. This study investigates a simple neural circuit emerges with a
few types of neurons. Assuming an infinite number of neurons in the circuit
with connection weights drawn from a Gaussian distribution, we model the
dynamics of neurons by using a kernel function. Given that the system is
infinitely large, almost all capable circuits approximate the most probable
circuit for the task. We simulate two delayed response tasks and a
motor-pattern generation task. The model network exhibits low-dimensional
dynamics in all tasks. Considering that the connection weights are drawn from a
Gaussian distribution, the most probable circuit is the circuit with the
smallest connection weight; that is, the simplest circuit with the simplest
dynamics. Finally, we relate the dynamics to algorithmic information theory.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics