Gerl, F. and Krey, Uwe (1997) Replica symmetry breaking and the Kuhn-Tucker cavity method in simple and multilayer perceptrons. JOURNAL DE PHYSIQUE I, 7 (2). pp. 303-327. ISSN 1155-4304
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NEURAL NETWORKS; STORAGE CAPACITY; SATURATION; ALGORITHM; MODELS; BOUNDS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 May 2023 06:20 |
| Last Modified: | 17 May 2023 06:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51063 |
Actions (login required)
 |
View Item |
