Informational Rescaling of PCA Maps with Application to Genetic Distance
On 16 Mar, 2023 By admin 0 Comments
March, 2023
Abstract
We discuss the inadequacy of covariances/correlations and other measures in L-2 as relative distance metrics. We propose a computationally simple heuristic to transform a map based on standard principal component analysis (PCA) (when the variables are asymptotically Gaussian) into an entropy-based map where distances are based on mutual information (MI). Rescaling PCA distances using MI allows a representation of relative correlations. This entropy rescaled PCA, while preserving order relationships, changes the relative distances to make them linear to information.
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