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

PLoS Computational Biology
Claudia ClopathNicolas Brunel

Abstract

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 corre...Continue Reading

References

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Citations

Feb 26, 2013·PLoS Computational Biology·Claudia Clopath, Nicolas Brunel
Apr 12, 2016·Nature Neuroscience·Nicolas Brunel
Apr 29, 2014·Neuron·Raoul-Martin MemmesheimerHaim Sompolinsky
Dec 19, 2014·Frontiers in Computational Neuroscience·William LennonTadashi Yamazaki
Aug 21, 2015·PLoS Computational Biology·Alireza AlemiRiccardo Zecchina
Jun 4, 2016·The Cerebellum·Ronit Givon-MayoOpher Donchin
Jun 6, 2015·PLoS Computational Biology·João SacramentoMark C W van Rossum
Aug 20, 2016·PLoS Computational Biology·Anatoly BuchinArnd Roth
Jun 17, 2016·Journal of Neurophysiology·Zhen Yang, Fidel Santamaria
Aug 29, 2017·PloS One·Carlos AguilarFrédéric Lavigne
Oct 19, 2017·Proceedings of the National Academy of Sciences of the United States of America·Ran RubinHaim Sompolinsky
Dec 13, 2017·PLoS Computational Biology·Nadav Ben-Shushan, Misha Tsodyks
Dec 29, 2020·PLoS Computational Biology·Alessandro Ingrosso
Jul 7, 2017·Neuron·Heather K TitleyChristian Hansel

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