The Haar Wavelet Transform of a Dendrogram

Details The Haar Wavelet Transform of a Dendrogram The Haar Wavelet Transform of a Dendrogram

2006-08-28

arxiv.org/abs/cs/0608107v3

Journal of Classification, 24, 3-32, 2007

Computer Science

Information Retrieval

38 pp, 8 figures. Forthcoming in Journal of Classification

Scientific paper

10.1007/s00357-007-0007-9

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.

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