Bayesian Estimation of the Instantaneous Rate and Regularity

Web application for estimating the rate and regularity of occurrence (Ver. 0.2)

1. Copy-and-paste spike sequences

0.02666 0.03689 0.14999 0.18311 0.18434 0.18589 0.19836 0.19872 0.27500 0.34467 0.35210 0.37182 0.37232 0.47481 0.47540 0.47546 0.48054 0.48505 0.53639 0.59085 0.59321 0.59857 0.62112 0.66460 0.67660 0.67894 0.69012 0.69032 0.69054 0.69223 0.70265 0.73732 0.73819 0.73900 0.75011 0.75437 0.76084 0.76520 0.89692 0.89759 0.90007 0.91505 0.91506 0.92052 0.92189 0.94499 0.94501 0.94503 0.94652 0.94692 0.95940 0.97306 0.99814 0.99977 1.00003 1.02482 1.02489 1.06516 1.06532 1.07285 1.07638 1.08200 1.11431 1.15808 1.15810 1.16944 1.18747 1.19500 1.20014 1.20020 1.21549 1.22400 1.22500 1.23678 1.25000 1.25100 1.25150 1.25470 1.26254 1.26403 1.28889 1.28913 1.29675 1.34596 1.34782 1.34857 1.35942 1.36310 1.36766 1.38879 1.39880 1.40725 1.41000 1.41100 1.43157 1.44958 1.45715 1.47266 1.48505 1.51350 1.54175 1.54916 1.57372 1.62298 1.62500 1.63000 1.63200 1.63900 1.68749 1.74224 1.74842 1.78563 1.78687 1.78697 1.81149 1.81861 1.83598 1.84806 1.84843 1.86343 1.96601 1.99841 2.01685 2.02283 2.02719 2.03263 2.04175 2.04539 2.04575 2.04688 2.05239 2.06089 2.07239 2.13951 2.15279 2.19923 2.25957 2.26796 2.27020 2.27880 2.29788 2.34539 2.39040 2.40787 2.43008 2.45602 2.54624 2.60959 2.63699 2.67382 2.69638 2.71831 2.73189 2.73399 2.78858 2.81326 2.84746 2.88735 2.91062 2.94011 2.96410 2.97828 2.99987 3.01002 3.03980 3.07054 3.12163 3.14048 3.15501 3.18235 3.19920 3.21283 3.23619 3.24425 3.26317 3.28107 3.30033 3.30934 3.32829 3.34375 3.35001 3.36493 3.38801 3.41939 3.43764 3.44612 3.46103 3.47433 3.50078 3.51875 3.53905 3.55318 3.55808 3.57086 3.58000 3.59000 3.61110 3.61796 3.62887 3.65981 3.66437 3.67966 3.68766 3.70688 3.71760 3.72120 3.73110 3.73629 3.75927 3.76801 3.78096 3.79492 3.82470 3.84073 3.85858 3.86650 3.87639 3.88571 3.89143 3.90105 3.90637 3.91980 3.93751 3.94819 3.95071 3.96354 3.98244 3.98642 4.00217 4.01078 4.03303 4.03978 4.04625 4.06102 4.07244 4.09214 4.10496 4.10999 4.13895 4.15422 4.17099 4.18536 4.19872 4.21559 4.23376 4.25523 4.26910 4.29006 4.30095 4.34062 4.35395 4.35780 4.37312 4.42992 4.44040 4.47450 4.50335 4.53482 4.56302 4.57895 4.58703 4.60565 4.62952 4.66774 4.70551 4.74031 4.79685 4.86408 4.91118 4.93433 4.95213 5.05224

2. Estimation of an instantaneous Rate and Regularity

with the EM method and the Kalman filter.

3. Output sheet

You may obtain the list of {time, estimated rate, estimated regularity}.

4. MATLAB code

BayesRR.zip
Function 'BayesRR' returns the list of {time, estimated rate, estimated regularity}.

Reference

1. Estimating instantaneous irregularity of neuronal firing
   T. Shimokawa and S. Shinomoto, Neural Computation (2009) 21:1931-1951.
   
   
2. A characterization of the time-rescaled gamma process as a model for spike trains
   T. Shimokawa, S. Koyama, and S. Shinomoto, Journal of Computational Neuroscience (2010) DOI: 10.1007/s10827-009-0194-y.

Erratum for "Estimating instantaneous irregularity of neuronal firing, T. Shimokawa and S. Shinomoto, Neural Computation (2009) 21:1931-1951."

If you have any questions, or have suggestions for improving the programs, please contact Shigeru Shinomoto or Takeaki Shimokawa.