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. 2014 Jun 13;9(6):e99015. doi: 10.1371/journal.pone.0099015

Figure 9. Representation of interactions by Hopfield patterns.

Figure 9

The full interaction matrix Inline graphic is approximated by a matrix Inline graphic built from the Inline graphic Hopfield patterns with highest eigenvalue moduli. We show the Normalized Direct Information matrices computed from Inline graphic, Inline graphic, Inline graphic and the full matrix Inline graphic. For MyoD, the correspondence between successive pairs of patterns and distinct interaction domains (middle, upper left and bottom right) is particularly clear. In all cases the full Direct Information matrix is already well approximated by Inline graphic. The bottom plots show histograms of the Inline graphic eigenvalues of highest moduli (red) and of the other ones (blue). The high eigenvalues lie on both sides of a core of smaller eigenvalues centered around Inline graphic.