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Here we discuss the extension of the time-rescaling theorem to the multivariate (neural population) case. We show that even in the presence of strong correlations between spike trains, models that neglect couplings between neurons can be erroneously passed by the univariate time-rescaling test. We present the multivariate version of the time-rescaling theorem and provide a practical step-by-step procedure for applying it to testing the sufficiency of neural population models. Using several simple analytically tractable models and more complex simulated and real data sets, we demonstrate that important features of the population activity can be detected only using the multivariate extension of the test.<\/jats:p>","DOI":"10.1162\/neco_a_00126","type":"journal-article","created":{"date-parts":[[2011,5,7]],"date-time":"2011-05-07T00:12:42Z","timestamp":1304727162000},"page":"1452-1483","source":"Crossref","is-referenced-by-count":12,"title":["Applying the Multivariate Time-Rescaling Theorem to Neural Population Models"],"prefix":"10.1162","volume":"23","author":[{"given":"Felipe","family":"Gerhard","sequence":"first","affiliation":[{"name":"Brain Mind Institute, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne EPFL, Switzerland, and Frankfurt Institute for Advanced Studies, 60438 Frankfurt am Main, Germany"}]},{"given":"Robert","family":"Haslinger","sequence":"additional","affiliation":[{"name":"Martinos Center for Biomedical Imaging, Massachusetts General Hospital, Charlestown, MA 02129, U.S.A., and Massachusetts Institute of Technology, Department of Brain and Cognitive Sciences, Cambridge, MA 02139, U.S.A."}]},{"given":"Gordon","family":"Pipa","sequence":"additional","affiliation":[{"name":"Institute of Cognitive Science, University of Osnabrueck, 49069 Osnabrueck, Germany; Max-Planck Institute for Brain Research, Department of Neurophysiology, 60528 Frankfurt am Main, Germany; Frankfurt Institute for Advanced Studies, 60438 Frankfurt am Main, Germany; and Massachusetts Institute of Technology, Department of Brain and Cognitive Sciences, Cambridge, MA 02139, U.S.A."}]}],"member":"281","reference":[{"key":"B1","first-page":"267","volume-title":"Second International Symposium on Information Theory","author":"Akaike","year":"1973"},{"key":"B2","doi-asserted-by":"publisher","DOI":"10.1016\/j.conb.2004.10.005"},{"key":"B3","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177704477"},{"key":"B4","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729437"},{"key":"B5","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.23-20-07630.2003"},{"key":"B6","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0270(00)00344-7"},{"key":"B7","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1995.tb02031.x"},{"key":"B8","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.18-06-02200.1998"},{"key":"B9","doi-asserted-by":"publisher","DOI":"10.1007\/BF00318010"},{"key":"B11","doi-asserted-by":"publisher","DOI":"10.1201\/9780203494462.ch9"},{"key":"B12","doi-asserted-by":"publisher","DOI":"10.1162\/08997660252741149"},{"key":"B13","doi-asserted-by":"publisher","DOI":"10.1038\/nn1228"},{"key":"B14","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.201409398"},{"key":"B15","doi-asserted-by":"publisher","DOI":"10.2307\/3214247"},{"key":"B16","doi-asserted-by":"publisher","DOI":"10.1007\/BF00332915"},{"key":"B17","doi-asserted-by":"publisher","DOI":"10.1016\/j.conb.2007.11.001"},{"issue":"2","key":"B18","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1111\/j.2517-6161.1955.tb00188.x","volume":"17","author":"Cox","year":"1955","journal-title":"Journal of the Royal Statistical Society. 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