Storage of correlated patterns in standard and bistable Purkinje cell models.

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Clopath, Claudia

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Nadal, Jean-Pierre

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Brunel, Nicolas

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United States

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2017-08-01T13:35:29Z

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2017-08-01T13:35:29Z

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2012

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The cerebellum has long been considered to undergo supervised learning, with climbing fibers acting as a 'teaching' or 'error' signal. Purkinje cells (PCs), the sole output of the cerebellar cortex, have been considered as analogs of perceptrons storing input/output associations. In support of this hypothesis, a recent study found that the distribution of synaptic weights of a perceptron at maximal capacity is in striking agreement with experimental data in adult rats. However, the calculation was performed using random uncorrelated inputs and outputs. This is a clearly unrealistic assumption since sensory inputs and motor outputs carry a substantial degree of temporal correlations. In this paper, we consider a binary output neuron with a large number of inputs, which is required to store associations between temporally correlated sequences of binary inputs and outputs, modelled as Markov chains. Storage capacity is found to increase with both input and output correlations, and diverges in the limit where both go to unity. We also investigate the capacity of a bistable output unit, since PCs have been shown to be bistable in some experimental conditions. Bistability is shown to enhance storage capacity whenever the output correlation is stronger than the input correlation. Distribution of synaptic weights at maximal capacity is shown to be independent on correlations, and is also unaffected by the presence of bistability.

dc.identifier

https://www.ncbi.nlm.nih.gov/pubmed/22570592

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PCOMPBIOL-D-11-01833

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1553-7358

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https://hdl.handle.net/10161/15126

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eng

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Public Library of Science (PLoS)

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PLoS Comput Biol

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10.1371/journal.pcbi.1002448

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Action Potentials

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Animals

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Computer Simulation

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Humans

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Information Storage and Retrieval

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Memory

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Models, Neurological

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Pattern Recognition, Physiological

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Purkinje Cells

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Statistics as Topic

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Storage of correlated patterns in standard and bistable Purkinje cell models.

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Journal article

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Brunel, Nicolas|0000-0002-2272-3248

pubs.author-url

https://www.ncbi.nlm.nih.gov/pubmed/22570592

pubs.begin-page

e1002448

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4

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Basic Science Departments

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Duke

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Neurobiology

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Physics

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School of Medicine

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Trinity College of Arts & Sciences

pubs.publication-status

Published

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8

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