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adjust a typo
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Former-commit-id: 641c95a9780050251a9188b2a2f3e7e65d19b2ec
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futianfan committed Feb 8, 2017
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20 changes: 11 additions & 9 deletions Chapter13/linear_factor_models.tex
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Expand Up @@ -227,22 +227,24 @@ \section{\glsentrytext{SFA}}
% 484


\glssymbol{SFA}算法~\citep{WisSej2002}包括将$f(\Vx;\theta)$定义为线性变换,并求解满足如下约束

\glssymbol{SFA}算法~\citep{WisSej2002}包括将$f(\Vx;\theta)$定义为线性变换,并求解如下优化问题
\begin{align}
\label{eqn:139}
\SetE_t f(\Vx^{(t)})_i = 0
\label{eqn:138}
\min_{\Vtheta} \SetE_t (f(\Vx^{(t+1)})_i - f(\Vx^{(t)})_i )^2
\end{align}
以及
并且满足下面的约束:
\begin{align}
\label{eqn:1310}
\SetE_t [ f(\Vx^{(t)})_i^2 ] =1
\label{eqn:139}
\SetE_t f(\Vx^{(t)})_i = 0
\end{align}
的优化问题
以及
\begin{align}
\label{eqn:138}
\min_{\Vtheta} \SetE_t (f(\Vx^{(t+1)})_i - f(\Vx^{(t)})_i )^2.
\label{eqn:1310}
\SetE_t [ f(\Vx^{(t)})_i^2 ] =1.
\end{align}


% 485

学习特征具有零均值的约束对于使问题具有唯一解是必要的;
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