Sparse Prediction with the k-Overlap Norm

Statistics – Machine Learning

Scientific paper

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Scientific paper

We derive a novel norm that corresponds to the tightest convex relaxation of
sparsity combined with an L2 penalty and can also be interpreted as a group
Lasso norm with overlaps. We show that this new norm provides a tighter
relaxation than the elastic net and suggest using it as a replacement for the
Lasso or the elastic net in sparse prediction problems.

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