Fig. 2.

Universality of the density of states. (Top) Density of states for ellipses, BP, and the perceptron. (Bottom) Evolution with $\mathrm{\Delta }$ of the characteristic frequencies at $p=10^{-4}$. Solid lines denote the theoretical predictions, ${\omega }_0\propto {\mathrm{\Delta }}^{1/2}$, ${\omega }_1\propto \mathrm{\Delta }$, and ${\omega }_2\propto {\mathrm{\Delta }}^{1/2}$, respectively. Data of ellipses are reproduced from ref. 32.