“…Over the last few decades, attractor dynamics, which is the mathematical instantiation of the hypothesis of cell assemblies (Hebb, 1949), has been established as the most viable computational model for this type of behavioral task. Yet, despite the fact that the basic theory of attractor dynamics is well understood (Hopfield, 1982;Amit & Brunel, 1997;Roudi & Latham, 2007) and there has been considerable experimental evidence to support it (Sakai & Miyashita, 1991;Wills et al, 2005;Knierim & Zhang, 2012;Miconi et al, 2016;Pereira & Brunel, 2018;Inagaki et al, 2019), the implementation of this type of framework in realistic spiking networks, and the link between the precise computational mechanisms and behavioral and neural trial-to-trial variability remain less clear. The classical cortical model is a balanced network of excitatory and inhibitory neurons (van Vreeswijk & Sompolinsky, 1998;Brunel, 2000) with random connectivity.…”