## Neural Computation

March 2019, Vol. 31, No. 3, Pages 503-516
(doi: 10.1162/neco_a_01162)
© 2019 Massachusetts Institute of Technology
Forgetting Memories and Their Attractiveness
Article PDF (321.69 KB)
Abstract
We study numerically the memory that forgets, introduced in 1986 by Parisi by bounding the synaptic strength, with a mechanism that avoids confusion; allows remembering the pattern learned more recently; and has a physiologically very well-defined meaning. We analyze a number of features of this learning for a finite number of neurons and finite number of patterns. We discuss how the system behaves in the large but finite $N$ limit. We analyze the basin of attraction of the patterns that have been learned, and we show that it is exponentially small in the age of the pattern.