High storage capacity in the Hopfield model with auto-interactions-stability analysis

作者:Rocchi Jacopo*; Saad David; Tantari Daniele
来源:Journal of Physics A-Mathematical and Theoretical, 2017, 50(46): 465001.
DOI:10.1088/1751-8121/aa8fd7

摘要

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.

  • 出版日期2017-11-17