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Geometry of Similarity Comparisons
[article]
2021
arXiv
pre-print
Many data analysis problems can be cast as distance geometry problems in space forms – Euclidean, spherical, or hyperbolic spaces. Often, absolute distance measurements are often unreliable or simply unavailable and only proxies to absolute distances in the form of similarities are available. Hence we ask the following: Given only comparisons of similarities amongst a set of entities, what can be said about the geometry of the underlying space form? To study this question, we introduce the
arXiv:2006.09858v4
fatcat:ph7qemzarnagpi662sbawljxfq