Informational Rescaling of PCA Maps with Application to Genetic Distance

03/14/2023

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by   Nassim Nicholas Taleb, et al.

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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).