TY - GEN
T1 - Closed form jitter methods for neuronal spike train analysis
AU - Jeck, Daniel
AU - Niebur, Ernst
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/4/15
Y1 - 2015/4/15
N2 - Interval jitter and spike resampling methods are used to analyze the time scale at which temporal correlations occur in neuronal spike trains. These methods allow the computation of jitter-corrected cross correlograms as well as statistically robust hypothesis testing to decide whether observed correlations at a given time scale are significant. Since currently used Monte Carlo methods are computationally costly, we propose to compute the distribution of the probability of observing a jittered spike train in closed form. We show that this distribution is obtained by computing the analytical solution for each jitter interval and then convolving the distributions of all intervals. For all mean firing rates tested, computing the convolutions in Fourier space rather than directly improves performance considerably without loss of accuracy. Performance increased with mean firing rates and length of spike trains. The method allows for rapid analysis of long spike trains with high accuracy.
AB - Interval jitter and spike resampling methods are used to analyze the time scale at which temporal correlations occur in neuronal spike trains. These methods allow the computation of jitter-corrected cross correlograms as well as statistically robust hypothesis testing to decide whether observed correlations at a given time scale are significant. Since currently used Monte Carlo methods are computationally costly, we propose to compute the distribution of the probability of observing a jittered spike train in closed form. We show that this distribution is obtained by computing the analytical solution for each jitter interval and then convolving the distributions of all intervals. For all mean firing rates tested, computing the convolutions in Fourier space rather than directly improves performance considerably without loss of accuracy. Performance increased with mean firing rates and length of spike trains. The method allows for rapid analysis of long spike trains with high accuracy.
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U2 - 10.1109/CISS.2015.7086908
DO - 10.1109/CISS.2015.7086908
M3 - Conference contribution
AN - SCOPUS:84929207383
T3 - 2015 49th Annual Conference on Information Sciences and Systems, CISS 2015
BT - 2015 49th Annual Conference on Information Sciences and Systems, CISS 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2015 49th Annual Conference on Information Sciences and Systems, CISS 2015
Y2 - 18 March 2015 through 20 March 2015
ER -