The Haar Wavelet Transform of a Dendrogram

  • Authors:
  • Fionn Murtagh

  • Affiliations:
  • Department of Computer Science, Royal Holloway, University of London, Egham TW20 0EX, England

  • Venue:
  • Journal of Classification
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

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.