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Activity Number: 272 - Approaches in Clustering for Analysis of Emerging Data Types
Type: Topic Contributed
Date/Time: Tuesday, August 9, 2022 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Learning and Data Science
Abstract #322872
Title: On Measuring Soft Agreement in Clustering
Author(s): Jeffrey Andrews* and Ryan Browne and Chelsey Hvingelby
Companies: University of British Columbia Okanagan and University of Waterloo and Concordia University
Keywords: Clustering; Classification; Fuzzy; Agreement measures; Rand index; Mixture models
Abstract:

We will review some of the literature surrounding assessments of agreement between soft/fuzzy/probabilistic cluster allocations, and then provide closed-form approaches for two measures which behave as fuzzy generalizations of the popular adjusted Rand index (ARI): one novel and one previously requiring a Monte Carlo estimation process. Both proposed measures retain the reflexive property of the ARI --- in other words, that an allocation measured against itself results in the value 1.0, an arguably essential property for the interpretability of a cluster agreement measure --- and both are feasible in their closed-form for sample sizes ranging beyond five digits. We apply these methods to real and simulated data to illustrate their utility and contrast with competing approaches.


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