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modify woongjoonchoi.github.io/_posts/DeepLearning/Optimization/2021-…
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modify mathmatical expression
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woongjoonchoi committed Nov 16, 2023
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Expand Up @@ -34,13 +34,13 @@ $$ \Sigma z^{(2)}_{i} $$

$$ \mu = \frac {\Sigma z^{(2)}_{i}} {m} $$

$$ \sigma = \frac {(\Sigma z^{(2)}_{i} - \mu )^2} {m} $$
$$ \sigma = \frac {\Sigma (z^{(2)}_{i} - \mu )^2} {m} $$

$$ z_{norm}^{(i)} = \frac {(\Sigma z^{(2)}_{i} - \mu )}{ {\sigma} } $$
$$ z_{norm}^{(i)} = \frac {( z^{(2)}_{i} - \mu )}{ {\sigma} } $$

하지만 , 이렇게 하면 $$\sigma$$ 가 0이 될 경우 계산을 할 수 없습니다. 따라서, 아래와 같이 계산을 합니다.

$$ z_{norm}^{(i)} = \frac {(\Sigma z^{(2)}_{i} - \mu )} {\sqrt {\sigma^2 + \epsilon} } $$
$$ z_{norm}^{(i)} = \frac {( z^{(2)}_{i} - \mu )} {\sqrt {\sigma^2 + \epsilon} } $$



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