{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,12]],"date-time":"2026-04-12T17:33:57Z","timestamp":1776015237158,"version":"3.50.1"},"reference-count":53,"publisher":"MIT Press - Journals","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2011,12]]},"abstract":"<jats:p> The time histogram is a fundamental tool for representing the inhomogeneous density of event occurrences such as neuronal firings. The shape of a histogram critically depends on the size of the bins that partition the time axis. In most neurophysiological studies, however, researchers have arbitrarily selected the bin size when analyzing fluctuations in neuronal activity. A rigorous method for selecting the appropriate bin size was recently derived so that the mean integrated squared error between the time histogram and the unknown underlying rate is minimized (Shimazaki &amp; Shinomoto, 2007 ). This derivation assumes that spikes are independently drawn from a given rate. However, in practice, biological neurons express non-Poissonian features in their firing patterns, such that the spike occurrence depends on the preceding spikes, which inevitably deteriorate the optimization. In this letter, we revise the method for selecting the bin size by considering the possible non-Poissonian features. Improvement in the goodness of fit of the time histogram is assessed and confirmed by numerically simulated non-Poissonian spike trains derived from the given fluctuating rate. For some experimental data, the revised algorithm transforms the shape of the time histogram from the Poissonian optimization method. <\/jats:p>","DOI":"10.1162\/neco_a_00213","type":"journal-article","created":{"date-parts":[[2011,9,16]],"date-time":"2011-09-16T05:47:18Z","timestamp":1316152038000},"page":"3125-3144","source":"Crossref","is-referenced-by-count":27,"title":["Optimizing Time Histograms for Non-Poissonian Spike Trains"],"prefix":"10.1162","volume":"23","author":[{"given":"Takahiro","family":"Omi","sequence":"first","affiliation":[{"name":"Department of Physics, Kyoto University, Kyoto, 606-8502, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shigeru","family":"Shinomoto","sequence":"additional","affiliation":[{"name":"Department of Physics, Kyoto University, Kyoto, 606-8502, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"281","reference":[{"key":"B1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176344247"},{"key":"B2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0270(82)90002-4"},{"key":"B3","volume-title":"The basis of sensation: The action of the sense organs","author":"Adrian E. D.","year":"1928"},{"key":"B4","doi-asserted-by":"publisher","DOI":"10.1152\/jn.2000.84.4.1770"},{"key":"B5","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0270(00)00344-7"},{"key":"B6","first-page":"412","volume":"50","author":"Berman M.","year":"1983","journal-title":"Bulletin Internatl. Stat. Instit."},{"key":"B7","doi-asserted-by":"publisher","DOI":"10.1080\/00949658508810822"},{"key":"B8","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.12-12-04745.1992"},{"key":"B10","doi-asserted-by":"publisher","DOI":"10.1162\/08997660252741149"},{"key":"B11","volume-title":"Renewal theory","author":"Cox D. R.","year":"1962"},{"key":"B12","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-7801-3"},{"key":"B13","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2009.02.004"},{"key":"B14","volume-title":"Advances in neural information processing systems","volume":"20","author":"Cunningham J. P.","year":"2008"},{"key":"B15","volume-title":"An introduction to the theory of point processes","author":"Daley D. J.","year":"1988"},{"key":"B16","doi-asserted-by":"publisher","DOI":"10.1152\/jn.01030.2005"},{"key":"B17","doi-asserted-by":"publisher","DOI":"10.1007\/s10827-009-0157-3"},{"key":"B18","volume-title":"Advances in neural information processing systems","volume":"20","author":"Endres D.","year":"2008"},{"key":"B19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.72.26"},{"key":"B20","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(60)86872-5"},{"key":"B21","doi-asserted-by":"publisher","DOI":"10.1152\/jn.00093.2008"},{"key":"B22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01203164"},{"key":"B23","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1996.75.5.1806"},{"key":"B24","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0900573106"},{"key":"B25","doi-asserted-by":"publisher","DOI":"10.1152\/jn.00648.2004"},{"key":"B26","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(93)90205-W"},{"key":"B27","doi-asserted-by":"publisher","DOI":"10.1080\/09548980600594165"},{"key":"B28","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/37\/29\/006"},{"key":"B29","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/38\/29\/L04"},{"key":"B30","doi-asserted-by":"publisher","DOI":"10.1085\/jgp.40.5.683"},{"key":"B31","doi-asserted-by":"publisher","DOI":"10.3389\/fncom.2010.00127"},{"key":"B32","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2006.18.10.2359"},{"key":"B33","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-5675-0_3"},{"key":"B34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jneumeth.2007.10.013"},{"key":"B35","doi-asserted-by":"publisher","DOI":"10.2307\/2288914"},{"key":"B36","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1999.81.6.3021"},{"key":"B37","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.3305-05.2005"},{"key":"B38","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.18-23-10090.1998"},{"key":"B39","volume-title":"The laws of large numbers","author":"R\u00e9v\u00e9sz P.","year":"1968"},{"key":"B40","volume-title":"Spikes: Exploring the neural code","author":"Rieke F.","year":"1997"},{"key":"B41","first-page":"65","volume":"9","author":"Rudemo M.","year":"1982","journal-title":"Scandinavian Journal of Statistics"},{"key":"B42","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/66.3.605"},{"key":"B43","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2007.19.6.1503"},{"key":"B44","doi-asserted-by":"publisher","DOI":"10.1007\/s10827-009-0180-4"},{"key":"B45","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2009.08-08-841"},{"key":"B46","doi-asserted-by":"publisher","DOI":"10.1007\/s10827-009-0194-y"},{"key":"B47","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-5675-0_2"},{"key":"B48","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000433"},{"key":"B49","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2932"},{"key":"B50","doi-asserted-by":"publisher","DOI":"10.1152\/jn.00896.2004"},{"key":"B51","doi-asserted-by":"publisher","DOI":"10.1162\/089976603322518759"},{"key":"B52","doi-asserted-by":"publisher","DOI":"10.1162\/089976603765202622"},{"key":"B53","volume-title":"Random point processes","author":"Snyder D. L.","year":"1975"},{"key":"B54","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/12\/6\/063010"}],"container-title":["Neural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/NECO_a_00213","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:39:03Z","timestamp":1615585143000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/neco\/article\/23\/12\/3125-3144\/7713"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12]]},"references-count":53,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2011,12]]}},"alternative-id":["10.1162\/NECO_a_00213"],"URL":"https:\/\/doi.org\/10.1162\/neco_a_00213","relation":{},"ISSN":["0899-7667","1530-888X"],"issn-type":[{"value":"0899-7667","type":"print"},{"value":"1530-888X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12]]}}}