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\[ \mbox{SSE}(\omega ) = \left\{ \begin{array}{ll} N(1 - \sum \limits _{j = 1}^ J {\hat p_ j^2 } ) & \mbox{for training data} \\ N(1 - \sum \limits _{j = 1}^ J {(2p_ j - \hat p_ j )\hat p_ j )} & \mbox{for validation data} \\ \end{array} \right. \]
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