Topological representation of metric data: the ABC Theorem

L. Ridgway Scott. 23 August, 2019.
Communicated by L. Ridgway Scott.


Tree representations of metric data provide a powerful way to understand relationships. We illustrate this with data drawn from protein biophysics. We review the connection between metrics for data relationships and corresponding tree representations, including some standard algorithms currently used. We suggest a new approach in which only topological features of trees are of interest. We introduce the ABC Theorem as the simplest possible realization of this approach.

Original Document

The original document is available in PDF (uploaded 23 August, 2019 by L. Ridgway Scott).