Replica Symmetry Breaking and the Kuhn-Tucker Cavity Method in simple and multilayer Perceptrons

Details Replica Symmetry Breaking and the Kuhn-Tucker Cavity Method in simple and multilayer Perceptrons Replica Symmetry Breaking and the Kuhn-Tucker Cavity Method in simple and multilayer Perceptrons

1996-10-22

arxiv.org/abs/cond-mat/9610165v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

32 pages, LaTex Source with 9 .eps-files enclosed, accepted by J. Phys I (France)

Scientific paper

10.1051/jp1:1997147

Within a Kuhn-Tucker cavity method introduced in a former paper, we study optimal stability learning for situations, where in the replica formalism the replica symmetry may be broken, namely (i) the case of a simple perceptron above the critical loading, and (ii) the case of two-layer AND-perceptrons, if one learns with maximal stability. We find that the deviation of our cavity solution from the replica symmetric one in these cases is a clear indication of the necessity of replica symmetry breaking. In any case the cavity solution tends to underestimate the storage capabilities of the networks.

Affiliated with

Also associated with

No associations

Rating

Replica Symmetry Breaking and the Kuhn-Tucker Cavity Method in simple and multilayer Perceptrons 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 Replica Symmetry Breaking and the Kuhn-Tucker Cavity Method in simple and multilayer Perceptrons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Replica Symmetry Breaking and the Kuhn-Tucker Cavity Method in simple and multilayer Perceptrons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700799