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Written by Gabriel Peyré on 2024-10-22 at 05:00

The l^p functional is convex and hence a norm for p>=1. It is sparsity-inducing for p<=1. The l^1 norm is the heart of the lasso, aka basis pursuit. https://en.wikipedia.org/wiki/Basis_pursuit_denoising https://en.wikipedia.org/wiki/Lasso_(statistics)

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