Forgetting Memories and their Attractiveness

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We study numerically the memory which forgets, introduced in 1986 by Parisi by bounding the synaptic strength, with a mechanism which avoid confusion, allows to remember the pattern learned more recently and has a physiologically very well defined meaning.

• We analyze a number of features of the learning at 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.