Figure - PMC

Skip to main content

An official website of the United States government

Here's how you know

Here's how you know

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

View full-text article in PMC

. 2019 Jun 12;9:8574. doi: 10.1038/s41598-019-44892-y

Search in PMC
Search in PubMed
View in NLM Catalog
Add to search

© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

PMC Copyright notice

Element-centric similarity behaves intuitively in three clustering similarity scenarios while common clustering similarity measures exhibit counter-intuitive behaviors. 1,024 elements are assigned to clusters according to the following scenarios (a–c) and compared using the Jaccard index, adjusted Rand index (ARI), the F measure, percentage matching (PM), normalized mutual information (NMI), overlapping normalized mutual information (ONMI), and our element-centric similarity. All results are averaged over 100 runs and error bars denote one standard deviation. (a) A clustering with 32 non-overlapping and equal-sized clusters is compared to a randomized version of itself where a fraction of the elements are shuffled. (b) A clustering with 32 non-overlapping and equal-sized clusters is compared against clusterings with increasing cluster size skewness. (c) A clustering with 8 non-overlapping and equal-sized clusters is compared against a clustering with c non-overlapping, equal-sized clusters and randomized element memberships for different values of c. (d) Only our element-centric similarity measure follows the intuitive behavior in all three scenarios and does not suffer from the problem of matching.