This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 52
Type: Invited
Date/Time: Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistical Computing
Abstract - #306264
Title: Wavelet-Based Functional Linear Regression
Author(s): Yihong Zhao* and Todd Ogden+
Companies: Columbia University and Columbia University
Address: Dept. of Biostatistics, New York, NY, 10032,
Keywords: dimension reduction ; LASSO ; variable selection
Abstract:

We introduce an approach for estimating the coefficient function in the functional linear model with scalar responses and functional predictors (e.g., curves, spectra, or images). The problem is transformed to a variable selection problem by transformation into the wavelet domain, taking advantage of the sparse representation allowed by wavelet bases. When the number of measurement points is much larger than the number of samples, we reduce the dimensionality by applying a pre-screening step followed by a variable selection step (e.g., penalized least squares).


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