For the unscaled objective , the kernel-ridge hat matrix is . Its prediction variance is . For eigenvalues , use and to bound the variance and the squared bias. The latter also uses the reproducing property and Bessel inequality, and does not require invertibility of .
EXISTING BODY EXPANSION, not a new concept: replace the present one-direction definition of Faithfulness of a directed acyclic graph in probability-and-statistics.bigb, under Causal directed acyclic graph, with the following body. Retain its existing header and parent.
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