Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the conditions for the existence of Perfect Learning and power law in
  learning from stochastic examples by Ising perceptrons   In a previous letter, we studied learning from stochastic examples by
perceptrons with Ising weights in the framework of statistical mechanics. Under
the one-step replica symmetry breaking ansatz, the behaviours of learning
curves were classified according to some local property of the rules by which
examples were drawn. Further, the conditions for the existence of the Perfect
Learning together with other behaviors of the learning curves were given. In
this paper, we give the detailed derivation about these results and further
argument about the Perfect Learning together with extensive numerical
calculations.

8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas