Table summarizing true and predicted epistasis magnitude, and , connected correlations Cij and inferred couplings Jij in the simple model for sites i and j in the same group, in the same subpart and in different subparts.

For i and j in different subparts (third row) the sizeable magnitude of epistasis is not reflected in the values of correlations, thus of the inferred couplings, in such a way that it is then underestimated by the DCA model. In section Sec. 2.1 in S1 Text, we derive for i and j in the same group: since we do not predict the prefactor , we can fix and other numbers in the first column follow from this choice.