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機械学習のための数学 〜微分・偏微分の計算, 勾配降下法(最急降下法)〜
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kkeeth
December 15, 2016
Science
2
3.1k
機械学習のための数学 〜微分・偏微分の計算, 勾配降下法(最急降下法)〜
機械学習を学ぶ上で必要となる「微分・偏微分」と、単純パーセプトロンを学ぶ上で必要となる「勾配降下法(最急降下法)」を理解し、実際に計算ができることが目標です。
kkeeth
December 15, 2016
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Transcript
Copyright© 2016 Leprachaun Corp. All Rights Reserved 機械学習のための数学 微分・偏微分の計算, 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分とは
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数?導関数?
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数とは
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数とは What’s !?
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(補足) この値を 極限という
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例) 因数分解!
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例) 約分して
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数(具体例) この値は何を 意味する?
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数の意味
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数の意味
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数の意味
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数の意味 微分係数の値と一致
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分係数の意味 微分係数は, 点aにおける 接線の傾きを表す!
Copyright© 2016 Leprachaun Corp. All Rights Reserved 導関数とは
Copyright© 2016 Leprachaun Corp. All Rights Reserved 導関数(求め方)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 導関数(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分練習問題
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分練習問題(回答)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分練習問題(回答)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 微分練習問題(回答)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 関数の四則演算に対する微分
Copyright© 2016 Leprachaun Corp. All Rights Reserved 関数の四則演算に対する微分
Copyright© 2016 Leprachaun Corp. All Rights Reserved 関数の四則演算に対する微分(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 偏微分
Copyright© 2016 Leprachaun Corp. All Rights Reserved 偏…微分?
Copyright© 2016 Leprachaun Corp. All Rights Reserved そう, 偏った微分.
Copyright© 2016 Leprachaun Corp. All Rights Reserved 偏微分とは
Copyright© 2016 Leprachaun Corp. All Rights Reserved 偏微分(具体例) 実際に計算してみよう!
Copyright© 2016 Leprachaun Corp. All Rights Reserved 偏微分(具体例)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved もちろんこいつ! 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法) これはグラフ全体が分かって いるから分かる!
Copyright© 2016 Leprachaun Corp. All Rights Reserved じゃあ、全体が分からない ときはどうする? 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved こいつに 注目! こいつに注目! 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved この点での 傾きは正! この点での 傾きは負!
勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved この点は 負の方向 に! 勾配降下法(最急降下法)
この点は 正の方向に!
Copyright© 2016 Leprachaun Corp. All Rights Reserved この点は 負の方向に! この点は 正の方向に!
勾配降下法(最急降下法) 緑の点を傾きに比例した 距離だけ動かしてみる
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 勾配降下法(最急降下法) この勾配降下法には 弱点がある…(次回)
Copyright© 2016 Leprachaun Corp. All Rights Reserved 以上です。
Copyright© 2016 Leprachaun Corp. All Rights Reserved ありがとうございました!
Copyright© 2016 Leprachaun Corp. All Rights Reserved 付録
Copyright© 2016 Leprachaun Corp. All Rights Reserved 関数の極限の厳密な定義
Copyright© 2016 Leprachaun Corp. All Rights Reserved 導関数一覧
Copyright© 2016 Leprachaun Corp. All Rights Reserved 合成関数の微分