Comparing High-Dimensional Partitions with the Co-clustering Adjusted Rand Index

Valerie Robert (), Yann Vasseur () and Vincent Brault ()
Additional contact information
Valerie Robert: Université Paris Saclay
Yann Vasseur: Université Paris Saclay
Vincent Brault: Univ. Grenoble Alpes, CNRS, Grenoble INP, LJK

Journal of Classification, 2021, vol. 38, issue 1, No 11, 158-186

Abstract: Abstract We consider the simultaneous clustering of rows and columns of a matrix and more particularly the ability to measure the agreement between two co-clustering partitions. The new criterion we developed is based on the Adjusted Rand Index and is called the Co-clustering Adjusted Rand Index named CARI. We also suggest new improvements to existing criteria such as the classification error which counts the proportion of misclassified cells and the Extended Normalized Mutual Information criterion which is a generalization of the criterion based on mutual information in the case of classic classifications. We study these criteria with regard to some desired properties deriving from the co-clustering context. Experiments on simulated and real observed data are proposed to compare the behavior of these criteria.

Keywords: Co-clustering; Adjusted rand index; Mutual information; Agreement; Partition (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s00357-020-09379-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jclass:v:38:y:2021:i:1:d:10.1007_s00357-020-09379-w

Ordering information: This journal article can be ordered from
http://www.springer. ... hods/journal/357/PS2

DOI: 10.1007/s00357-020-09379-w

Access Statistics for this article

Journal of Classification is currently edited by Douglas Steinley

More articles in Journal of Classification from Springer, The Classification Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().