Variational log‐Gaussian point‐process methods for grid cells

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Abstract

jats:titleAbstract</jats:title>jats:pWe present practical solutions to applying Gaussian‐process (GP) methods to calculate spatial statistics for grid cells in large environments. GPs are a data efficient approach to inferring neural tuning as a function of time, space, and other variables. We discuss how to design appropriate kernels for grid cells, and show that a variational Bayesian approach to log‐Gaussian Poisson models can be calculated quickly. This class of models has closed‐form expressions for the evidence lower‐bound, and can be estimated rapidly for certain parameterizations of the posterior covariance. We provide an implementation that operates in a low‐rank spatial frequency subspace for further acceleration, and demonstrate these methods on experimental data.</jats:p>

Description

Funder: Frank Elmore Fund


Funder: Medical Research Council; doi: http://dx.doi.org/10.13039/501100000265


Funder: Nvidia; doi: http://dx.doi.org/10.13039/100007065


Funder: School of Clinical Medicine, University of Cambridge; doi: http://dx.doi.org/10.13039/501100007552


Funder: Wellcome Trust; doi: http://dx.doi.org/10.13039/100010269

Keywords
grid cells, variational Bayesian inference, point process, spatial statistics, Gaussian process
Journal Title
Hippocampus
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Journal ISSN
1050-9631
1098-1063
Volume Title
Publisher
Wiley
Sponsorship
European Research Council (716643)
Human Frontier Science Program (RGY0069/2017)
Isaac Newton Trust (ECF‐2020‐352)
Kavli Foundation (RG93383)
Leverhulme Trust (ECF‐2020‐352)
Royal Society (206682/Z/17/Z)
UK Dementia Research Institute (DRICAMKRUPIC18/19)