Optimal prediction with resource constraints using the information bottleneck
Fig 4
Possible behaviors associated for the SDDHO for a variety of timescales with a fixed of 5 bits.
For an overdamped SDDHO, panel a-c, the optimal representation continues to encode mostly position information, as velocity is hard to predict. For the underdamped case, panels g-i, as the timescale of prediction increases, the optimal representation changes from being mostly position information to being a mix of position and velocity information. Optimal representations for critically damped input motion are shown in panels d-f. Comparatively, overdamped stimuli do not require precise velocity measurements, even at long timescales. Optimal predictive representations of overdamped input dynamics have higher amounts of predictive information for longer timescales, when compared to underdamped and critically damped cases.