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Dmitry
2026-05-07 15:12:11 +03:00
parent c1d6b19512
commit 64370cafc3
2 changed files with 6 additions and 3 deletions
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.obsidian/workspace.json
Vendored
+1 -1
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@@ -246,7 +246,7 @@
"obsidian-git:Open Git source control": false "obsidian-git:Open Git source control": false
} }
}, },
"active": "27e6486165131cfa", "active": "138b2b667c7cb5bc",
"lastOpenFiles": [ "lastOpenFiles": [
"00 Inbox/Статья на английский.md", "00 Inbox/Статья на английский.md",
"03 Journal/03 Journal.md", "03 Journal/03 Journal.md",
00 Inbox/Обратное распространение ошибки - вывод.md
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@@ -3,7 +3,7 @@ status: seed
type: concept type: concept
tags: [] tags: []
created: 2025-12-17 created: 2025-12-17
updated: 2026-04-24 updated: 2026-05-07
title: Обратное распространение ошибки - вывод title: Обратное распространение ошибки - вывод
--- ---
@@ -28,6 +28,9 @@ $$\begin{align*}
&E = \frac{1}{2}*\sum\limits_{l=1}^{m}(y_{l}-d_{l})^{2} &E = \frac{1}{2}*\sum\limits_{l=1}^{m}(y_{l}-d_{l})^{2}
\end{align*}$$ \end{align*}$$
## Обратный проход (выходной слой) ## Обратный проход (выходной слой)
*Цепное правило:*
$$\begin{align*} $$\begin{align*}
\frac{dE}{dw_{li}^{(2)}}&=\frac{dE}{dy_{l}}* \frac{dy_{l}}{dS_{l}^{(2)}}*\frac{dS_{l}^{(2)}}{dw_{li}^{(2)}}\\ \frac{dE}{dw_{li}^{(2)}}&=\frac{dE}{dy_{l}}* \frac{dy_{l}}{dS_{l}^{(2)}}*\frac{dS_{l}^{(2)}}{dw_{li}^{(2)}}\\
\end{align*}$$ \end{align*}$$
Отдельно вычисляем каждую часть:
$$\frac{dE}{dy_{l}} = y_{l}-d_{l}$$