Treelets provides a novel construction of multi-scale bases that extends wavelets to non-smooth signals. It returns a multi-scale orthonormal basis, where the final computed basis functions are supported on nested clusters in a hierarchical tree. Both the tree and the basis, which are constructed simultaneously, reflect the internal structure of the data.
Using the simulated data from the family pedigrees in the Crossett et al arXiv paper, five families were randomly selected, and 10 individuals from the 15 related individuals were randomly selected independently in each family. The hat{A} matrix was then calculated via the GCTA software of Yang et al. In the resulting 50 x 50 relationship matrix, element hat{A}_{ij} represents the estimated kinship coefficient between individuals i and j.
Returns information on the simultaneous construction of the treelet orthonormal basis and hierarchical tree, including which nodes were merged at each step and the basis at each specified step of the construction.
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