Nadaraya-Watson vs Lagrange Interpolation

Ok, I don't get it, what do Nadaraya-Watson estimators have over Lagrange Interpolation?

Since the choice of Kernel doesn't matter much, you can just set k(u)=u, right..?

What am I not getting here?

(Kernel methods involve Convolution Smoothing)

- = - Vasos-Peter John Panagiotopoulos II, Columbia'81+, Bio$trategist

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