Karhunen–Loève expansion
= Karhunen–Loève expansion
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The Karhunen–Loève expansion writes a centered square-integrable random function as $X=\sum_k\xi_k\phi_k$ in mean square, where the $\phi_k$ are <principal component functions> and the uncorrelated scores satisfy $\mathbb E\xi_k^2=\lambda_k$.