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Transfer Matrix Method for Instantaneous Spike Rate Estimation

Kazuho WATANABE, Hiroyuki TANAKA, Keiji MIURA, Masato OKADA

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Summary :

The spike timings of neurons are irregular and are considered to be a one-dimensional point process. The Bayesian approach is generally used to estimate the time-dependent firing rate function from sequences of spike timings. It can also be used to estimate the firing rate from only a single sequence of spikes. However, the rate function has too many degrees of freedom in general, so approximation techniques are often used to carry out the Bayesian estimation. We applied the transfer matrix method, which efficiently computes the exact marginal distribution, to the estimation of the firing rate and developed an algorithm that enables the exact results to be obtained for the Bayesian framework. Using this estimation method, we investigated how the mismatch of the prior hyperparameter value affects the marginal distribution and the firing rate estimation.

Publication
IEICE TRANSACTIONS on Information Vol.E92-D No.7 pp.1362-1368
Publication Date
2009/07/01
Publicized
Online ISSN
1745-1361
DOI
10.1587/transinf.E92.D.1362
Type of Manuscript
Special Section INVITED PAPER (Special Section on Large Scale Algorithms for Learning and Optimization)
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