Magic number 7 $\pm$ 2 in networks of threshold dynamics

Details Magic number 7 $\pm$ 2 in networks of threshold dynamics Magic number 7 $\pm$ 2 in networks of threshold dynamics

2004-09-19

arxiv.org/abs/nlin/0409039v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.94.058102

Information processing by random feed-forward networks consisting of units with sigmoidal input-output response is studied by focusing on the dependence of its outputs on the number of parallel paths M. It is found that the system leads to a combination of on/off outputs when $M \lesssim 7$, while for $M \gtrsim 7$, chaotic dynamics arises, resulting in a continuous distribution of outputs. This universality of the critical number $M \sim 7$ is explained by combinatorial explosion, i.e., dominance of factorial over exponential increase. Relevance of the result to the psychological magic number $7 \pm 2$ is briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Magic number 7 $\pm$ 2 in networks of threshold dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Magic number 7 $\pm$ 2 in networks of threshold dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magic number 7 $\pm$ 2 in networks of threshold dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-633918