Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical properties of a randomly diluted neural network with variable
  activity   The subject of study is a neural network with binary neurons, randomly
diluted synapses and variable pattern activity. We look at the system with
parallel updating using a probabilistic approach to solve the one step dynamics
with one condensed pattern. We derive restrictions on the storage capacity and
the mutual information content occuring during the retrieval process. Special
focus is on the constraints on the threshold for optimal performance. We also
look at the effect of noisy updating, giving a dynamical version of the
critical temperature, the corresponding threshold and an approximation for the
time evolution for small temperatures. The description is applicable to the
whole retrieval process in the limit of strong dilution. The analysis is
carried out as exactly as possible and over the full parameter ranges,
generalizing some former results.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex