Understanding Malvestuto’s normalized mutual information

Hanneke van der Hoef*, Matthijs J. Warrens

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

Malvestuto’s version of the normalized mutual information is a well-known information theoretic index for quantifying agreement between two partitions. To further our understanding of what information on agreement between the clusters the index may reflect, we study components of the index that contain information on individual clusters, using mathematical analysis and numerical examples. The indices for individual clusters provide useful information on what is going on with specific clusters.
Original languageEnglish
Title of host publicationAdvanced Studies in Classification and Data Science
EditorsTadashi Imaizumi, Akinori Okada, Sadaaki Miyamoto, Fumitake Sakaori, Yoshiro Yamamoto, Maurizio Vichi
PublisherSpringer Singapore
Pages 289–299
Number of pages11
ISBN (Electronic)978-981-15-3311-2
ISBN (Print)978-981-15-3310-5
DOIs
Publication statusPublished - 2020

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