Explicit Markov counting model of inter-spike interval time series

G. Mijatović, T. Loncar Turukalo, L. Negyessy, F. Bazsó, E. Procyk, L. Zalányi, J. Minich, D. Bajić

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper the inter-spike intervals (ISI) time series are recorded in awake, behaving macaque monkeys and their differences are modeled as a counting explicit finite Markov chain. The average length of time series was 3050 samples. The parameters investigated were: the state probability, the transition probability and normalized count histogram of the Markov chain, as well as ISI interval and ISI difference associated to each state of Markov model separately. As a control parameter, for each series pseudorandom Gaussian and uniform series with same mean and standard deviation, as well as isodistributional surrogates were generated. An unexpected conclusion is that the state and the transition probabilities, as well as the count histogram, correspond to the exact formulae that are derived for the differentials of independent and identically distributed (i.i.d.) random data series.

Original languageEnglish
Title of host publication2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012
Pages311-315
Number of pages5
DOIs
Publication statusPublished - Dec 12 2012
Event2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012 - Subotica, Serbia
Duration: Sep 20 2012Sep 22 2012

Publication series

Name2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012

Other

Other2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012
CountrySerbia
CitySubotica
Period9/20/129/22/12

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Keywords

  • Inter-spike intervals
  • Markov models
  • counting model

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Mijatović, G., Loncar Turukalo, T., Negyessy, L., Bazsó, F., Procyk, E., Zalányi, L., Minich, J., & Bajić, D. (2012). Explicit Markov counting model of inter-spike interval time series. In 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012 (pp. 311-315). [6339535] (2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012). https://doi.org/10.1109/SISY.2012.6339535