# LaTeX2HTML 2002-2-1 (1.71)
# Associate images original text with physical files.


$key = q/mathbf{x}_{i}inmathcal{X};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img34.png"
 ALT="$\mathbf{x}_{i}\in\mathcal{X}$">|; 

$key = q/a_{cost};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img17.png"
 ALT="$a_{cost}$">|; 

$key = q/mathcal{Y};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img26.png"
 ALT="$\mathcal{Y}$">|; 

$key = q/F;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img21.png"
 ALT="$F$">|; 

$key = q/{mathbf{w}_{t}^{m}:vinmathcal{Y}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img67.png"
 ALT="$\{\mathbf{w}_{t}^{m}: v\in\mathcal{Y}\}$">|; 

$key = q/mathcal{X}subseteqmathbb{R}^{n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img25.png"
 ALT="$\mathcal{X}\subseteq\mathbb{R}^{n}$">|; 

$key = q/mathbf{w};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img66.png"
 ALT="$\mathbf{w}$">|; 

$key = q/(mathbf{x}_{i},y_{i})inmathcal{S};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img52.png"
 ALT="$(\mathbf{x}_{i},y_{i})\in\mathcal{S}$">|; 

$key = q/A_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img13.png"
 ALT="$A_{i}$">|; 

$key = q/textstyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img55.png"
 ALT="$\textstyle =$">|; 

$key = q/mathbf{x};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img64.png"
 ALT="$\mathbf{x}$">|; 

$key = q/X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img23.png"
 ALT="$X$">|; 

$key = q/displaystyle+sqrt{gamma(y_{i},y)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img57.png"
 ALT="$\displaystyle + \sqrt{\gamma(y_{i},y)}$">|; 

$key = q/B_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img14.png"
 ALT="$B_{i}$">|; 

$key = q/yney_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img53.png"
 ALT="$y\ne y_{i}$">|; 

$key = q/X=Y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img7.png"
 ALT="$X=Y$">|; 

$key = q/{displaymath}F_{o1}=2*P_{o}*R_{o}slash(P_{o}+R_{o}){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="62" BORDER="0"
 SRC="|."$dir".q|www428-li-img19.png"
 ALT="\begin{displaymath}
F_{o1} = 2*P_{o}*R_{o}/(P_{o}+R_{o})
\end{displaymath}">|; 

$key = q/u;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img30.png"
 ALT="$u$">|; 

$key = q/n_{spurious};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img6.png"
 ALT="$n_{spurious}$">|; 

$key = q/vinmathcal{Y};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img38.png"
 ALT="$v\in\mathcal{Y}$">|; 

$key = q/displaystyleP_{o}=a_{cost}slash(a_{cost}+n_{spurious}),R_{o}=a_{cost}slash(a_{cost}+n_{missing})nonumber;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="388" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img18.png"
 ALT="$\displaystyle P_{o} = a_{cost}/(a_{cost}+n_{spurious}),
R_{o} = a_{cost}/(a_{cost}+n_{missing}) \nonumber$">|; 

$key = q/(LP)^{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img74.png"
 ALT="$(LP)^{2}$">|; 

$key = q/>;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img71.png"
 ALT="$&gt;$">|; 

$key = q/f:mathcal{X}tomathcal{Y};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img36.png"
 ALT="$f:\mathcal{X}\to\mathcal{Y}$">|; 

$key = q/u,vinmathcal{Y};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img28.png"
 ALT="$u,v\in\mathcal{Y}$">|; 

$key = q/y';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img65.png"
 ALT="$y'$">|; 

$key = q/n_{missing};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img5.png"
 ALT="$n_{missing}$">|; 

$key = q/{mathbf{W}^{v}:vinmathcal{Y}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img42.png"
 ALT="$\{\mathbf{W}^{v}:v\in\mathcal{Y}\}$">|; 

$key = q/e_{cost}(X,Y)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img11.png"
 ALT="$e_{cost}(X,Y)=0$">|; 

$key = q/displaystylesum_{uinmathcal{P}(y)}langlemathbf{w}^{u},mathbf{x}_{i}rangle-sum_{vinmathcal{P}(y_{i})}langlemathbf{w}^{v},mathbf{x}_{i}rangle;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="210" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img56.png"
 ALT="$\displaystyle \sum_{u\in\mathcal{P}(y)}\langle\mathbf{w}^{u},\mathbf{x}_{i}\rangle
-\sum_{v\in\mathcal{P}(y_{i})}\langle\mathbf{w}^{v},\mathbf{x}_{i}\rangle$">|; 

$key = q/(mathbf{x}_{i},y_{i});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img58.png"
 ALT="$(\mathbf{x}_{i},y_{i})$">|; 

$key = q/mathcal{S}={(mathbf{x}_{i},y_{i}):i=1,ldots,m};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img33.png"
 ALT="$\mathcal{S}=\{(\mathbf{x}_{i},y_{i}): i=1,\ldots,m\}$">|; 

$key = q/SVM^{light};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img72.png"
 ALT="$SVM^{light}$">|; 

$key = q/12^{th};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img76.png"
 ALT="$12^{th}$">|; 

$key = q/mathcal{P}(v);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img32.png"
 ALT="$\mathcal{P}(v)$">|; 

$key = q/e_{cost}(X,Y)=c(X,Y)slashC;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="163" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img9.png"
 ALT="$e_{cost}(X,Y) = c(X,Y)/C$">|; 

$key = q/F_{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img1.png"
 ALT="$F_{1}$">|; 

$key = q/{displaymath}f(mathbf{x})=mathrm{argmax}_{vinmathcal{Y}}langlemathbf{W}^{v},mathbf{x}rangle{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="170" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|www428-li-img40.png"
 ALT="\begin{displaymath}
f(\mathbf{x}) = \mathrm{argmax}_{v\in\mathcal{Y}}\langle\mathbf{W}^{v},\mathbf{x}\rangle
\end{displaymath}">|; 

$key = q/hat{y}_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img61.png"
 ALT="$\hat{y}_{i}$">|; 

$key = q/mathbf{W}^{y_{i}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img62.png"
 ALT="$\mathbf{W}^{y_{i}}$">|; 

$key = q/{boldsymbol{omega}^{v}:vinmathcal{Y}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img49.png"
 ALT="$\{\boldsymbol{\omega}^{v}:v\in\mathcal{Y}\}$">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img73.png"
 ALT="$N$">|; 

$key = q/displaystylesum_{vinmathcal{P}(y_{i})}langleboldsymbol{omega}^{v},mathbf{x}_{i}rngleboldsymbol{omega}^{u},mathbf{x}_{i}ranglegesqrt{gamma(y_{i},r)},;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="291" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img50.png"
 ALT="$\displaystyle \sum_{v\in\mathcal{P}(y_{i})}\langle\boldsymbol{\omega}^{v},\math...
...langle\boldsymbol{\omega}^{u},\mathbf{x}_{i}\rangle \ge
\sqrt{\gamma(y_{i},r)},$">|; 

$key = q/{displaymath}c(X,Y)=left{array{{ll}0&textrm{if{X=Y{}1&textrm{otherwise}array{right.{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="166" HEIGHT="78" BORDER="0"
 SRC="|."$dir".q|www428-li-img20.png"
 ALT="\begin{displaymath}
c(X,Y) = \left\{ \begin{array}{ll}
0 &amp; \textrm{if $X=Y$}\\\\
1 &amp; \textrm{otherwise}
\end{array} \right.
\end{displaymath}">|; 

$key = q/mathbf{W}^{v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img47.png"
 ALT="$\mathbf{W}^{v}$">|; 

$key = q/pm1.1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img75.png"
 ALT="$\pm1.1$">|; 

$key = q/e_{cost}(A_{i},B_{i});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="84" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img15.png"
 ALT="$e_{cost}(A_{i},B_{i})$">|; 

$key = q/mathbf{w}^{v}=mathbf{W}^{v}-mathbf{W}^{mathcal{A}(v)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="130" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img44.png"
 ALT="$\mathbf{w}^{v} = \mathbf{W}^{v} - \mathbf{W}^{\mathcal{A}(v)}$">|; 

$key = q/displaystyleforall(mathbf{x}_{i},y_{i})inmathcal{S}mathrm{and}forallrinmathcal{Y}backslash{y_{i}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="202" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img51.png"
 ALT="$\displaystyle  \forall(\mathbf{x}_{i},y_{i})\in\mathcal{S}
 \mathrm{and}  \forall r\in\mathcal{Y}\backslash\{y_{i}\}$">|; 

$key = q/e_{cost}(X,Y)in[0,1];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img10.png"
 ALT="$e_{cost}(X,Y)\in[0,1]$">|; 

$key = q/mathbf{W}^{hat{y}_{i}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img63.png"
 ALT="$\mathbf{W}^{\hat{y}_{i}}$">|; 

$key = q/m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img68.png"
 ALT="$m$">|; 

$key = q/f;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img37.png"
 ALT="$f$">|; 

$key = q/c(X,Y);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img3.png"
 ALT="$c(X,Y)$">|; 

$key = q/gamma(u,v);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img29.png"
 ALT="$\gamma(u,v)$">|; 

$key = q/0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img60.png"
 ALT="$0$">|; 

$key = q/{mathbf{w}_{i}^{v}:vinmathcal{Y},i=1,cdots,m};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="174" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img69.png"
 ALT="$\{\mathbf{w}_{i}^{v}: v\in\mathcal{Y}, i=1,\cdots,m\}$">|; 

$key = q/{displaymath}a_{cost}=sum_{i=1}^{n}(1-e_{cost}(A_{i},B_{i})){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="186" HEIGHT="67" BORDER="0"
 SRC="|."$dir".q|www428-li-img12.png"
 ALT="\begin{displaymath}
a_{cost} = \sum_{i=1}^{n}(1-e_{cost}(A_{i},B_{i}))
\end{displaymath}">|; 

$key = q/gamma(X,Y);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img22.png"
 ALT="$\gamma(X,Y)$">|; 

$key = q/mathcal{A}(v);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img43.png"
 ALT="$\mathcal{A}(v)$">|; 

$key = q/y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img59.png"
 ALT="$y$">|; 

$key = q/{mathbf{w}^{v}:vinmathcal{Y}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img46.png"
 ALT="$\{\mathbf{w}^{v}:v\in\mathcal{Y}\}$">|; 

$key = q/Y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img24.png"
 ALT="$Y$">|; 

$key = q/langlecdot,cdotrangle;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img41.png"
 ALT="$\langle\cdot,\cdot\rangle$">|; 

$key = q/i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img16.png"
 ALT="$i$">|; 

$key = q/mathbf{W}^{mathcal{A}(v)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img48.png"
 ALT="$\mathbf{W}^{\mathcal{A}(v)}$">|; 

$key = q/mathbf{W}^{v}inmathbb{R}^{n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img39.png"
 ALT="$\mathbf{W}^{v}\in\mathbb{R}^{n}$">|; 

$key = q/{displaymath}mathbf{w}^{v}=frac{1}{m}sum_{i=1}^{m}mathbf{w}_{i}^{v}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="67" BORDER="0"
 SRC="|."$dir".q|www428-li-img70.png"
 ALT="\begin{displaymath}
\mathbf{w}^{v} = \frac{1}{m}\sum_{i=1}^{m}\mathbf{w}_{i}^{v}
\end{displaymath}">|; 

$key = q/C;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img8.png"
 ALT="$C$">|; 

$key = q/y_{i}inmathcal{Y};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img35.png"
 ALT="$y_{i}\in\mathcal{Y}$">|; 

$key = q/v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img31.png"
 ALT="$v$">|; 

$key = q/mathcal{T};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img27.png"
 ALT="$\mathcal{T}$">|; 

$key = q/F_{o1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img2.png"
 ALT="$F_{o1}$">|; 

$key = q/{displaymath}mathbf{W}^{v}=sum_{uinmathcal{P}(v)}mathbf{w}^{u}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="65" BORDER="0"
 SRC="|."$dir".q|www428-li-img45.png"
 ALT="\begin{displaymath}
\mathbf{W}^{v} = \sum_{u\in\mathcal{P}(v)}\mathbf{w}^{u}
\end{displaymath}">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="12" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|www428-li-img4.png"
 ALT="$n$">|; 

$key = q/displaystyleL({mathbf{w}^{v}},mathbf{x}_{i},y_{i},y);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|www428-li-img54.png"
 ALT="$\displaystyle L(\{\mathbf{w}^{v}\},\mathbf{x}_{i}, y_{i}, y)$">|; 

1;

