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Sparse canonical correlation analysis

30 May 2017
Xiaotong Suo
Victor Minden
Bradley Nelson
Robert Tibshirani
Michael Saunders
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Abstract

Canonical correlation analysis was proposed by Hotelling [6] and it measures linear relationship between two multidimensional variables. In high dimensional setting, the classical canonical correlation analysis breaks down. We propose a sparse canonical correlation analysis by adding l1 constraints on the canonical vectors and show how to solve it efficiently using linearized alternating direction method of multipliers (ADMM) and using TFOCS as a black box. We illustrate this idea on simulated data.

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