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Bayesian population decoding of spiking neurons

Gerwinn, S; Macke, J; Bethge, M; (2009) Bayesian population decoding of spiking neurons. FRONT COMPUT NEUROSC , 3 , Article 21. 10.3389/neuro.10.021.2009. Gold open access

Abstract

The timing of action potentials in spiking neurons depends on the temporal dynamics of their inputs and contains information about temporal fluctuations in the stimulus. Leaky integrate-and-fire neurons constitute a popular class of encoding models, in which spike times depend directly on the temporal structure of the inputs. However, optimal decoding rules for these models have only been studied explicitly in the noiseless case. Here, we study decoding rules for probabilistic inference of a continuous stimulus from the spike times of a population of leaky integrate-and-fire neurons with threshold noise. We derive three algorithms for approximating the posterior distribution over stimuli as a function of the observed spike trains. In addition to a reconstruction of the stimulus we thus obtain an estimate of the uncertainty as well. Furthermore, we derive a 'spike-by-spike' online decoding scheme that recursively updates the posterior with the arrival of each new spike. We use these decoding rules to reconstruct time-varying stimuli represented by a Gaussian process from spike trains of single neurons as well as neural populations.

Type:Article
Title:Bayesian population decoding of spiking neurons
Open access status:An open access publication
DOI:10.3389/neuro.10.021.2009
Keywords:Bayesian decoding, population coding, spiking neurons, approximate inference, STIMULI, DESIGN, MODELS, CODES
UCL classification:UCL > School of Life and Medical Sciences > Faculty of Life Sciences > Gatsby Computational Neuroscience Unit

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