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fix typo
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szcf-weiya committed Nov 26, 2018
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Expand Up @@ -42,7 +42,7 @@ $$

这是在给定输入的情况下目标值的对数似然。第二项是传递模型参数 $\theta$ 的平均编码长度,而第一项是传递模型与真实目标值之间差异的平均编码长度。举个例子假设我们有单目标 $y\sim N(\theta,\sigma^2)$,参数为 $\theta\sim N(0,1)$,并且没有输入(为了简单)。则模型长度为
$$
length = constant + \log\sigma + \frac{(y-\theta)^2}{\sigma^2} + \frac{\theta^2}{2}\tag{7.45}
length = constant + \log\sigma + \frac{(y-\theta)^2}{2\sigma^2} + \frac{\theta^2}{2}\tag{7.45}
$$
注意到 $\sigma$ 越小,平均信息长度越短,因为 $y$ 更集中在 $\theta$ 附近。

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