Forward and Backward Inference in Spatial Cognition
Figure 3
(A) Control sequence used to generate visual imagery for the ‘north-east’ trajectory. The input signals are acceleration, , and change in direction,
. These control signals change the agent's state according to equation 3. (B) The state variables speed
and direction
produced by the control sequence in A. (C) The state variables
and
shown as a path (red curve). This is the ‘north-east’ trajectory. The state variable time series in B and C were produced by integrating the dynamics in equation 3 using the local linearisation approach of equation 5. (D) Accuracy of visual imagery produced by agent as compared to sensory input that would have been produced by the environmental model. The figure shows the proportion of variance,
, explained by the agent's model as a function of retinal angle,
. This was computed separately for the north-east (black), north-west (red), south-east (blue) and south-west (green) trajectories. Only activity in the centre of the retina is accurately predicted.