cocoatree.statistics.pairwise.compute_apc

cocoatree.statistics.pairwise.compute_apc(MIij)

Computes the average product correction (APC) as described in Dunn et al. (2008).

\[APC(a, b) = \frac{MI(a, \bar{x}) MI(b, \bar{x}){\overline{MI}}\]

where \(MI(a, \bar{x})\) is the mean mutual information of column a and \(\overline{MI}\) is the overall mean mutual information

The corrected mutual information is then:

\[MIp(a, b) = MI(a, b) - APC(a, b)\]

Arguments

MIijnp.ndarray,

the mutual information matrix

Returns

APC_ijnp.ndarray,

the average product correction (APC) matrix

MIpnp.ndarray,

the APC corrected mutual information matrix