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@@ -136,7 +136,7 @@ q_j^*(\mathbf{z}_j) = \frac{ \exp\left ( \mathbb{E}_{i\neq j}[\ln (p(\mathbf{x},
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\end{aligned}
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$$
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-[推导]：由$14.39$去对数直接可得
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+[推导]：由$14.39$去对数并积分
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$$
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\begin{aligned}
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\int q_j^*(\mathbf{z}_j)\mathrm{d}\mathbf{z}_j &=\int \exp\left ( \mathbb{E}_{i\neq j}[\ln (p(\mathbf{x},\mathbf{z}))] \right )\cdot\exp(const) \, \mathrm{d}\mathbf{z}_j \\
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@@ -153,7 +153,7 @@ $$
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$$
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\begin{aligned}
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- q_j^*(\mathbf{z}_j)\mathrm{d}\mathbf{z}_j &= \exp\left ( \mathbb{E}_{i\neq j}[\ln (p(\mathbf{x},\mathbf{z}))] \right )\cdot\exp(const) \, \mathrm{d}\mathbf{z}_j \\
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+ q_j^*(\mathbf{z}_j) &= \exp\left ( \mathbb{E}_{i\neq j}[\ln (p(\mathbf{x},\mathbf{z}))] \right )\cdot\exp(const) \, \mathrm{d}\mathbf{z}_j \\
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&= \frac{ \exp\left ( \mathbb{E}_{i\neq j}[\ln (p(\mathbf{x},\mathbf{z}))] \right ) }{\int \exp\left ( \mathbb{E}_{i\neq j}[\ln (p(\mathbf{x},\mathbf{z}))] \right ) \mathrm{d}\mathbf{z}_j}
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\end{aligned}
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\tag{9}
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)s