39 lines
1.7 KiB
Markdown
39 lines
1.7 KiB
Markdown
# 纸质版勘误表
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如何使用勘误？首先找到你的书的印次，接下来对着下表索引印次，该印次之后所有的勘误都是你的书中所要注意的勘误，印次前的所有勘误在当印次和之后印次均已印刷修正。
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## 第1版第1次印刷（2022.03）
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* 47页，2.3.5节的第3行：称为备份图（backup diagram） → 称为备份图（backup diagram）或回溯图
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* 76页，式(3.1) 中 $G$ 和 $r$ 后面的数字改为下标，即
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$$
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\begin{array}{l}
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G_{13}=0 \\
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G_{12}=r_{13}+\gamma G_{13}=-1+0.6 \times 0=-1 \\
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G_{11}=r_{12}+\gamma G_{12}=-1+0.6 \times(-1)=-1.6 \\
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G_{10}=r_{11}+\gamma G_{11}=-1+0.6 \times(-1.6)=-1.96 \\
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G_9=r_{10}+\gamma G_{10}=-1+0.6 \times(-1.96)=-2.176 \approx-2.18 \\
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G_8=r_9+\gamma G_9=-1+0.6 \times(-2.176)=-2.3056 \approx-2.3
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\end{array}
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$$
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* 149页，式(6.15) 改为
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$$
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\begin{aligned}
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V^{\pi}(s) &\le Q^{\pi}(s,\pi'(s)) \\
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&=E\left[r_{t}+V^{\pi}\left(s_{t+1}\right) | s_{t}=s, a_{t}=\pi^{\prime}\left(s_{t}\right)\right]\\
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&\le E\left[r_{t}+Q^{\pi}\left(s_{t+1}, \pi^{\prime}\left(s_{t+1}\right)\right) | s_{t}=s, a_{t}=\pi^{\prime}\left(s_{t}\right)\right] \\
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&=E\left[r_{t}+r_{t+1}+V^{\pi}\left(s_{t+2}\right) |s_{t}=s, a_{t}=\pi^{\prime}\left(s_{t}\right)\right] \\
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& \le E\left[r_{t}+r_{t+1}+Q^{\pi}\left(s_{t+2},\pi'(s_{t+2}\right) | s_{t}=s, a_{t}=\pi^{\prime}\left(s_{t}\right)\right] \\
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& = E\left[r_{t}+r_{t+1}+r_{t+2}+V^{\pi}\left(s_{t+3}\right) |s_{t}=s, a_{t}=\pi^{\prime}\left(s_{t}\right)\right] \\
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& \le \cdots\\
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& \le E\left[r_{t}+r_{t+1}+r_{t+2}+\cdots | s_{t}=s, a_{t}=\pi^{\prime}\left(s_{t}\right)\right] \\
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& = V^{\pi'}(s)
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\end{aligned}
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$$
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* 229页，第2行：很强的序列 → 很长的序列
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