Abstract
Recent studies point to the potential storage of a large number of patterns in the celebrated Hopfield associative memory model, well beyond the limits obtained previously. We investigate the properties of new fixed points to discover that they exhibit instabilities for small perturbations and are therefore of limited value as
associative memories. Moreover, a large deviations approach also shows that errors introduced to the original patterns induce additional errors and increased corruption with respect to the stored patterns.
associative memories. Moreover, a large deviations approach also shows that errors introduced to the original patterns induce additional errors and increased corruption with respect to the stored patterns.
Original language | English |
---|---|
Article number | 465001 |
Number of pages | 9 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 50 |
DOIs | |
Publication status | Published - 23 Oct 2017 |
Bibliographical note
This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://iopscience.iop.org/article/10.1088/1751-8121/aa8fd7/meta.Funding: The Leverhulme Trust grant RPG-2013-48, National Group of Mathematical Physics (GNFM-Indam)
Keywords
- Hopfield model
- associative memory
- stability
- statistical physics