Hi Dan,
Thanks for the input. I'm interested in these negative correlations for the same reason - accessible peaks correlated with inaccessible promoter regions could indicate potential silencer elements. We can't say this definitely without corresponding RNA-seq data, since there are genes with accessible promoters that show minimal expression.
However, I'm still confused as to why the positive correlations far outnumber the negative correlations. I don't have a great understanding of the cicero model - is it just more difficult to define inverse-correlations as true negative correlations due the sparse nature of ATAC-seq?