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June 2008 Discussion of: Treelets—An adaptive multi-scale basis for sparse unordered data
Nicolai Meinshausen, Peter Bühlmann
Ann. Appl. Stat. 2(2): 478-481 (June 2008). DOI: 10.1214/08-AOAS137C

Abstract

We congratulate Lee, Nadler and Wasserman (henceforth LNW) on a very interesting paper on new methodology and supporting theory. Treelets seem to tackle two important problems of modern data analysis at once. For datasets with many variables, treelets give powerful predictions even if variables are highly correlated and redundant. Maybe more importantly, interpretation of the results is intuitive. Useful insights about relevant groups of variables can be gained.

Our comments and questions include: (i) Could the success of treelets be replicated by a combination of hierarchical clustering and PCA? (ii) When choosing a suitable basis, treelets seem to be largely an unsupervised method. Could the results be even more interpretable and powerful if treelets would take into account some supervised response variable? (iii) Interpretability of the result hinges on the sparsity of the final basis. Do we expect that the selected groups of variables will always be sufficiently small to be amenable for interpretation?

Citation

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Nicolai Meinshausen. Peter Bühlmann. "Discussion of: Treelets—An adaptive multi-scale basis for sparse unordered data." Ann. Appl. Stat. 2 (2) 478 - 481, June 2008. https://doi.org/10.1214/08-AOAS137C

Information

Published: June 2008
First available in Project Euclid: 3 July 2008

zbMATH: 05591281
MathSciNet: MR2524339
Digital Object Identifier: 10.1214/08-AOAS137C

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.2 • No. 2 • June 2008
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