The Kanerva memory is stable

Abstract

The Kanerva memory is a simple yet important model of the cerebellar cortex. Its power has been demonstrated by its huge storage capacity as an associative memory. In the present work, the Kanerva memory is briefly introduced and it is shown to be asymptotically stable in both the parallel update and sequential update modes. Its asymptotic stability is proved by introducing a Lyapunov function and showing that the function follows a descent trajectory as the Kanerva memory evolves.

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