Frank Nielsen's taxonomy maps every distance and divergence from Euclidean to quantum geometry
pickover · x · 2026-11-06
Math popularizer Cliff Pickover shares Frank Nielsen's (Sony CSL) "Taxonomy of Principal Distances and Divergences" chart, spanning Euclidean geometry (top left) to quantum and matrix geometry (bottom right). It covers statistical geometry (KL, Jensen-Shannon, f-divergences, Rényi/Tsallis), information geometry (Fisher-Rao, Amari α-divergence, Bregman), and optimal transport (Wasserstein, MMD, Sinkhorn), each annotated with discoverers and dates. Nielsen's page links related papers, making it a solid index for divergence research.
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