Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A multifractal phase-space analysis of perceptrons with biased patterns   We calculate the multifractal spectrum of the partition of the coupling space
of a perceptron induced by random input-output pairs with non-zero mean. From
the results we infer the influence of the input and output bias respectively on
both the storage and generalization properties of the network. It turns out
that the value of the input bias is irrelevant as long as it is different from
zero. The generalization problem with output bias is new and shows an
interesting two-level scenario. To compare our analytical results with
simulations we introduce a simple and efficient algorithm to implement Gibbs
learning.

33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat