Neural Comput - Noise facilitation in associative memories of exponential capacity.

Tópicos

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Resumo

Recent advances in associative memory design through structured pattern sets and graph-based inference algorithms have allowed reliable learning and recall of an exponential number of patterns that satisfy certain subspace constraints. Although these designs correct external errors in recall, they assume neurons that compute noiselessly, in contrast to the highly variable neurons in brain regions thought to operate associatively, such as hippocampus and olfactory cortex. Here we consider associative memories with boundedly noisy internal computations and analytically characterize performance. As long as the internal noise level is below a specified threshold, the error probability in the recall phase can be made exceedingly small. More surprising, we show that internal noise improves the performance of the recall phase while the pattern retrieval capacity remains intact: the number of stored patterns does not reduce with noise (up to a threshold). Computational experiments lend additional support to our theoretical analysis. This work suggests a functional benefit to noisy neurons in biological neuronal networks.

Resumo Limpo

recent advanc associ memori design structur pattern set graphbas infer algorithm allow reliabl learn recal exponenti number pattern satisfi certain subspac constraint although design correct extern error recal assum neuron comput noiseless contrast high variabl neuron brain region thought oper associ hippocampus olfactori cortex consid associ memori bound noisi intern comput analyt character perform long intern nois level specifi threshold error probabl recal phase can made exceed small surpris show intern nois improv perform recal phase pattern retriev capac remain intact number store pattern reduc nois threshold comput experi lend addit support theoret analysi work suggest function benefit noisi neuron biolog neuron network

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