Table 1. Summary of when model parameters are allowed to change.

Variable	Notation	Within train/test	Within session, between train-test	Between sessions	Between participants
State transition distribution	$\widehat{\pi }$	No	No	Yes	Yes
Observation distribution	$\widehat{\varphi }$	No	No	Yes	Yes
State belief	$\widehat{s_t}$	Yes	Yes	Yes	Yes
Response time parameters	τ0, μ, σ	No	No	No	No
Prior of observation distribution	H	No	No	No	No
Hierarchical prior over state transitions	α, γ	No	No	No	No