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Robustness of a non-smooth minimum. The function fλ(x) = |x| + λ(x − 1)2 is shown for a sequence of λ from 0 to 1. The minima of fλ(x) (shown as little circles) is remains exactly at x = 0 for λ = 0 to 0.5, and is greater than zero for λ > 0.5.
