“…New recording techniques allow for the simultaneous recording of much larger numbers of neurons, in some cases up to hundreds of neurons and across several brain regions (Dotson, Hoffman, Goodell, & Gray, 2017;Nicolelis et al, 2003). The PSTH-based method has been shown to be very sensitive to the number of neurons used, with an increase in accuracy with an increase in the number of neurons considered (Cirillo, Ferrucci, Marcos, Ferraina, & Genovesio, 2018;Falcone, Cirillo, Ferraina, & Genovesio, 2017;Genovesio, Brasted, et al, 2006;Lebedev, Messinger, Kralik, & Wise, 2004;Marcos & Genovesio, 2016;Marcos, Nougaret, Tsujimoto, & Genovesio, 2018;Marcos, Tsujimoto, & Genovesio, 2017). Thus, at least two open questions arise from these new kinds of data sets: (1) Would the two methods reach similar levels of performance for large numbers of neurons, or, even in those cases, would the HMMs always be capable of extracting further information than that obtain from the mean response?…”