The haar wavelet transform of a dendrogram

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Abstract

We describe a new wavelet transform, for use on hierarchies or binary rooted trees. The theoretical framework of this approach to data analysis is described. Case studies are used to further exemplify this approach. A first set of application studies deals with data array smoothing, or filtering. A second set of application studies relates to hierarchical tree condensation. Finally, a third study explores the wavelet decomposition, and the reproducibility of data sets such as text, including a new perspective on the generation or computability of such data objects.

Original languageEnglish
Pages (from-to)3-32
Number of pages30
JournalJournal of Classification
Volume24
Issue number1
DOIs
Publication statusPublished - 1 Jun 2007
Externally publishedYes

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