Figure 16.

(a) Storage capacity ${\alpha }_c$ as a function of the sparsity a for different values of the correlation parameters $a_p$ and f. The storage capacity is defined as the critical storage at which half of all cued patterns are retrieved with overlap of $0.7$ and above. Increasing $a_p$ and f are both generally detrimental to the capacity. (b) ${\alpha }_c$ as a function of the number of Potts states S, which shows that the superlinear increase derived analytically in [34] for randomly correlated patterns (the black curve) is only really approached, within this limited S range, with patterns that are very close to randomly correlated (the orange curve) (c) ${\alpha }_c$ as a function of the connectivity $c_m$ for random dilution (see Equation (7)). The capacity decreases as a function of increasing connectivity. When not explicitly varied, parameters are $N=2000$, $c_m=200$, $a=0.1$, $S=5$, $U=0.5$, $\beta =200$, $\zeta ={10}^{-6}$ and $\Pi =150$.