翻訳と辞書 Words near each other ・ Smotrych (urban-type settlement) ・ Smotrych River ・ Smotryszów ・ Smouha SC ・ Smoulder (song) ・ Smouldering ・ Smouldering Fires ・ Smouldering Fires (film) ・ Smouldering myeloma ・ Smound ・ Smooth lanternshark ・ Smooth leatherjacket ・ Smooth Like Stone on a Beach ・ Smooth London ・ Smooth Love ・ Smooth maximum ・ Smooth McGroove ・ Smooth morphism ・ Smooth motion video ・ Smooth muscle tissue ・ Smooth muscle tumour ・ Smooth newt ・ Smooth Noodle Maps ・ Smooth North East ・ Smooth North West ・ Smooth number ・ Smooth Operator ・ Smooth Operator (Big Daddy Kane song) ・ Smooth operator (disambiguation) ・ Smooth oreo Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Smooth maximum ： ウィキペディア英語版 Smooth maximum In mathematics, a smooth maximum of an indexed family ''x''1, ..., ''x''''n'' of numbers is a differentiable approximation to the maximum function : $\backslash \; \backslash mapsto\; \backslash max\backslash ,\; \backslash ,$ and the concept of smooth minimum is similarly defined. For large positive values of the parameter $\backslash alpha\; >\; 0$, the following formulation is one smooth, differentiable approximation of the maximum function. For negative values of the parameter that are large in absolute value, it approximates the minimum. :$$ \mathcal_\alpha (\_^n) = \frac}} $\backslash mathcal\_\backslash alpha$ has the following properties: #$\backslash mathcal\_\backslash alpha\backslash to\; \backslash max$ as $\backslash alpha\backslash to\backslash infty$ #$\backslash mathcal\_0$ is the average of its inputs #$\backslash mathcal\_\backslash alpha\backslash to\; \backslash min$ as $\backslash alpha\backslash to\; -\backslash infty$ The gradient of $\backslash mathcal\_$ is closely related to softmax and is given by :$$ \nabla_\mathcal_\alpha (\_^n) = \frac^n e^} (+ \alpha(x_i - \mathcal_\alpha (\_^n)) ). This makes the softmax function useful for optimization techniques that use gradient descent. Another formulation is: :$$ g(x_1, \ldots, x_n) = \log( \exp(x_1) + \ldots + \exp(x_n) ) == Smooth minimum == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Smooth maximum」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.