“…J. Friston, Stephan, Montague, & Dolan, 2014;Lawson, Rees, & Friston, 2014) To explore learning about precision, we make use of the widely replicated finding that non-luminance related pupil dilation indexes the surprise associated with incoming sensory stimuli (Alamia, VanRullen, Pasqualotto, Mouraux, & Zenon, 2019;Damsma & van Rijn, 2017;De Berker et al, 2016;Friedman, Hakerem, Sutton, & Fleiss, 1973;Kloosterman et al, 2015;Lavín, Martín, & Jubal, 2014;Nassar et al, 2012;O'Reilly et al, 2013;Preuschoff, 't Hart, & Einhäuser, 2011;Qiyuan, Richer, Wagoner, & Beatty, 1985;Raisig, Welke, Hagendorf, & van der Meer, 2010;Reinhard & Lachnit, 2002). (Here we define surprise as the negative log probability of an event occurring, though see (Baldi & Itti, 2010;Philipp Schwartenbeck, FitzGerald, & Dolan, 2016;Zenon, 2019) for an important alternative). This permits one to make inferences about participants' implicit beliefs about the statistics of their environment, without the necessity for an explicit probe or decision, and thus provides a means to characterise statistical learning processes (Alamia, VanRullen, Pasqualotto, Mouraux, & Zenon, 2019;Vincent, Parr, Benrimoh, & Friston, 2019).…”