Computes the Newman's Reduced Mutual Information (RMI) as defined in corrected_MI_Newman2020clustAnalytics.
reduced_mutual_information(
c1,
c2,
base = 2,
normalized = FALSE,
method = "approximation2",
warning = TRUE
)The value of Newman's RMI (a scalar).
membership vectors
base of the logarithms used in the calculations. Changing it only scales the final value. By default set to e=exp(1).
If true, computes the normalized version of the corrected mutual information.
Can be "hybrid" (default, combines Monte Carlo with analytical formula), "monte_carlo", approximation1" (appropriate for partitions into many very small clusters), or "approximation2" (for partitions into few larger clusters).
set to false to ignore the warning.
The implementation is based on equations 23 (25 for the normalized case) and 29 in corrected_MI_Newman2020clustAnalytics. The evaluations of the \(\Gamma\) functions can get too large and cause overflow issues in the intermediate steps, so the following term of equation 29: $$\frac{1}{2} \log \frac{\Gamma(\mu R) \Gamma(\nu S)} {(\Gamma(\nu)\Gamma(R))^S (\Gamma(\mu)\Gamma(S))^R } $$ is rewritten as $$\frac{1}{2} (\log\Gamma(\mu R) + \log\Gamma(\nu S) - S\log(\Gamma(\nu) - S\log(\Gamma(R) - R\log\Gamma(\mu) - R\log\Gamma(R) )$$, and then the function lgamma is used instead of gamma.
corrected_MI_Newman2020clustAnalytics