Abstract
The possibility of a finite width distribution for the maximal capacity of the binary perceptron in the thermodynamic limit is discussed analytically and supported by a careful analysis of numerical simulations. The results also indicate that the description of quenched random systems could take into account the possibility that in addition to non-self-averaged quantities, other quantities such as the transition temperature might also be sample dependent.
| Original language | English |
|---|---|
| Pages (from-to) | 670-678 |
| Number of pages | 9 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 200 |
| Issue number | 1-4 |
| DOIs | |
| State | Published - 15 Nov 1993 |
Bibliographical note
Funding Information:Discussionsa nd commentso n the manuscripto f B. Derrida, E. Domany and T. Grossman are gratefully acknowledged.T he researchi s supportedb y The Basic Research Foundation administeredb y The Israel Academy of Science and Humanities.
Funding
Discussionsa nd commentso n the manuscripto f B. Derrida, E. Domany and T. Grossman are gratefully acknowledged.T he researchi s supportedb y The Basic Research Foundation administeredb y The Israel Academy of Science and Humanities.
| Funders | Funder number |
|---|---|
| Basic Research Foundation | |
| Israel Academy of Sciences and Humanities |