機械学習と深層学習の数理
3. 機械学習のための行列の微分 x = x1 ... xk , f(x) はスカラー, F(x) = f1(x) ... fm(x) , a = a1 ... ak とする. ∂F (x) ∂x = ∂f1(x) ∂x1 · · · ∂fm(x) ∂x1 ... ... ... ∂f1(x) ∂xk · · · ∂fm(x) ∂xk , ∂xT a ∂x = ∂aT x ∂x = a 偏微分演算子でF(x)を作用していると解釈 ∂Tr(AB) ∂aij = bji → ∂Tr(AB) ∂A = BT A,Bを行列とする. 合成関数の微分 も直感通り ∂f(g(x)) ∂x = ∂g(x) ∂x ∂f(g(x)) ∂g(x) 付録１．数学の復習http://www.r.dl.itc.u-tok
TeXclip
Tips You can retrieve TeX-code from images pasted in PowerPoint (see this). At every image generation, LaTeX source is stored in browser history. Use browser Back / Forward button or history window to retrieve them. Click color palette while selecting text to color the text Multiple cursor/selection is available by Ctrl + click/drag Acknowledgments TeXclip depends on many open source projects. Whi
Irrational Numbers Search Engine
Message: Please enter a numeric string to search or a starting position (decimal digits only) Try our streamlined Pi search interface! About the Irrational Numbers Search Engine: Why create an irrational numbers search engine? Why not! Built in 2002 just for fun, the original implementation only offered digits for Pi and ran on a makeshift server in my basement. The hardware has since been contin
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