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Infinitely large, randomly wired sensors cannot predict their input unless they are close to deterministic

Fig 3

Large, nondeterministic, randomly wired sensors are nonspecific for their inputs even when the stochasticity is input- and state-dependent.

As described in the main text, the concentration parameter describes the random wiring of the sensors. Here, α(x, r) is drawn uniformly at random in the interval [0, 10] for each x. Both average memory and average predictive information decrease with sensor size N. The environment again has |S| = 30 but with ρ_μ = 0.19 nats and C_μ = 3.1 nats. The 50% confidence intervals in memory and predictive information decrease with increasing sensor size N, implying that the larger sensors are increasingly likely to be nonspecific for their input.

doi: https://doi.org/10.1371/journal.pone.0202333.g003