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ゼロから作るDeep Learning ❸ ―フレームワーク編
book

ゼロから作るDeep Learning ❸ ―フレームワーク編

by 斎藤 康毅
April 2020
Intermediate to advanced
552 pages
6h 13m
Japanese
O'Reilly Japan, Inc.
Content preview from ゼロから作るDeep Learning ❸ ―フレームワーク編

ステップ35高階微分の計算グラフ

前ステップに続いて、本ステップでもDeZeroの関数を追加します。ここで追加する関数は、tanh関数です。tanhは、日本語で双曲線正接ハイパボリックタンジェントと呼ばれます。tanh関数は式(35.1)で表され、その形状は図35-1のようになります。

y=\tanh(x)=\frac{e^x-e^{-x}}{e^x+e^{-x}}
(35.1)
tanh関数の形状

図35-1 tanh関数の形状

図35-1のとおり、tanh関数は、入力を-1から1の間の値に変換します。まずは、式(35.1)の微分\frac{\partial y}{\partial x}を求めます。

35.1 tanh関数の微分

tanh関数の微分を求めるには、次の微分の公式を利用します。 ...

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Publisher Resources

ISBN: 9784873119069Publisher Website