English

Training a perceptron by a bit sequence: Storage capacity

Condensed Matter 2009-10-28 v1

Abstract

A perceptron is trained by a random bit sequence. In comparison to the corresponding classification problem, the storage capacity decreases to alpha_c=1.70\pm 0.02 due to correlations between input and output bits. The numerical results are supported by a signal to noise analysis of Hebbian weights.

Cite

@article{arxiv.cond-mat/9607040,
  title  = {Training a perceptron by a bit sequence: Storage capacity},
  author = {M. Schroeder and W. Kinzel and I. Kanter},
  journal= {arXiv preprint arXiv:cond-mat/9607040},
  year   = {2009}
}

Comments

LaTeX, 13 pages incl. 4 figures and 1 table