Poster
Kernel Feature Selection via Conditional Covariance Minimization
Jianbo Chen · Mitchell Stern · Martin J Wainwright · Michael Jordan
Pacific Ballroom #45
Keywords: [ Nonlinear Dimensionality Reduction and Manifold Learning ] [ Kernel Methods ]
We propose a method for feature selection that employs kernel-based measures of independence to find a subset of covariates that is maximally predictive of the response. Building on past work in kernel dimension reduction, we show how to perform feature selection via a constrained optimization problem involving the trace of the conditional covariance operator. We prove various consistency results for this procedure, and also demonstrate that our method compares favorably with other state-of-the-art algorithms on a variety of synthetic and real data sets.
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