Predictive information can increase or decrease with sensor size.

<p>We show average predictive information 〈<i>I</i>_<i>pred</i>〉 as a function of <i>N</i> for <i>α</i> = 0.1, where 〈<i>I</i>_<i>pred</i>〉 is estimated from 100 random draws of the sensor. The environment has |<b>S</b>| = 30, and the non-monotonicity of 〈<i>I</i><sub><i>pred</i>... View More