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project:hillclimb_dp:draft [2014/05/02 14:57] taolei [Justification of the Algorithm] |
project:hillclimb_dp:draft [2014/05/02 14:57] (current) taolei [Justification of the Algorithm] |
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\mathcal{L}(\hat{x_i},\hat{y_i}) = \max_{\tilde{y}}\left\lbrace S(\hat{x_i}, \tilde{y}) + \text{err}(\tilde{y})\right\rbrace - S(\hat{x_i}, \hat{y_i}) \quad\quad (1o) | \mathcal{L}(\hat{x_i},\hat{y_i}) = \max_{\tilde{y}}\left\lbrace S(\hat{x_i}, \tilde{y}) + \text{err}(\tilde{y})\right\rbrace - S(\hat{x_i}, \hat{y_i}) \quad\quad (1o) | ||
$$ | $$ | ||
- | $$ABc$$ | ||
where $\tilde{y}$ is the output of the decoding algorithm. | where $\tilde{y}$ is the output of the decoding algorithm. | ||