(A) Data from Law et al., 2016, showing the spatial correlation of the hippocampal map in repeated presentations of the same environment over multiple training days. Initially, the correlation is low, indicating extensive remapping between observations, but over the course of training the extent of remapping between observations decreases. (B) Observations (black dots) are generated from two Gaussians, both of which are centered at 0. The model compares the posterior probability of the observations coming from one inferred hidden state (red) or two inferred hidden states (blue). (C) The relative probability assigned to the observations coming from one hidden state vs. two hidden states (Equation 7) is shown as a function of amount of experience. Early in training, the two hypotheses have similar probabilities, whereas later one hidden state is overwhelmingly more probable. This corresponds to an increase in certainty over training, which would translate into a decreased tendency to remap, similar to the empirical observations. Note that the axis here has been flipped relative to Figure 3C in order to match the axis of the empirical results shown in panel A.
© 2016 Wiley Periodicals, Inc. All rights reserved. Panel A is reproduced from Law et al., 2016 with permission (originally published as Figure 2A). It is not covered by the CC-BY 4.0 licence and further reproduction of this panel would need permission from the copyright holder.