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For a vector ν = (ν1,··· ,νp)T ∈ Rp, the 𝓁0-norm is ‖ν‖0 = ∑p j= 1{|νj| > 0}; the ∞-norm is ‖ν‖∞ = max 1≤j≤p |νj|; and the 𝓁2- norm is ‖ν‖2 2 = ∑p j=1ν2 j

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