LaTeX中实现算法的呈现主要有两种方式：
- 使用宏包
algorithm2e, 这个宏包有很多可选项进行设定。 - 使用宏包
algorithm与algorithmic,
使用宏包algorithm2e：
usepackage[linesnumbered,boxed,ruled,commentsnumbered]{algorithm2e}%%算法包，注意设置所需可选项
例子:
IncMargin{1em} % 使得行号不向外突出
egin{algorithm}
SetAlgoNoLine % 不要算法中的竖线
SetKwInOut{Input}{ extbf{输入}}SetKwInOut{Output}{ extbf{输出}} % 替换关键词
Input{
\
The observed user-item pair set $S$;\
The feature matrix of items $F$;\
The content features entities $A := {A^u,A^v}$;\}
Output{
\
$Theta := {Y^u,Y^v}$;\
$W := {W^u,W^v}$;\}
BlankLine
initialize the model parameter $Theta$ and $W$ with uniform $left(-sqrt{6}/{k},sqrt{6}/{k} ight)$; % 分号 ; 区分一行结束
standarized $Theta$;
Initialize the popularity of categories $ ho$ randomly;
Repeat
{ ext{convergence}}
{Draw a triple $left(m,i,j ight)$ with 算法 ef{al2};
For {each latent vector $ heta in Theta$}{
$ heta leftarrow heta - etafrac{partial L}{partial heta}$
}
For {each $W^e in W$}{
Update $W^e$ with the rule defined in Eq. ef{equ:W};
}
}
caption{Learning paramters for BPRlabel{al3}}
end{algorithm}
DecMargin{1em}
使用宏包algorithm与algorithmic
usepackage{algorithm, algorithmic}
egin{algorithm}
enewcommand{algorithmicrequire}{ extbf{Input:}}
enewcommand{algorithmicensure}{ extbf{Output:}}
caption{Bayesian Personalized Ranking Based Latent Feature Embedding Model}
label{alg:1}
egin{algorithmic}[1]
REQUIRE latent dimension $K$, $G$, target predicate $p$
ENSURE $U^{p}$, $V^{p}$, $b^{p}$
STATE Given target predicate $p$ and entire knowledge graph $G$, construct its bipartite subgraph, $G_{p}$
STATE $m$ = number of subject entities in $G_{p}$
STATE $n$ = number of object entities in $G_{p}$
STATE Generate a set of training samples $D_{p} = {(s_p, o^{+}_{p}, o^{-}_{p})}$ using uniform sampling technique
STATE Initialize $U^{p}$ as size $m imes K$ matrix with $0$ mean and standard deviation $0.1$
STATE Initialize $V^{p}$ as size $n imes K$ matrix with $0$ mean and stardard deviation $0.1$
STATE Initialize $b^{p}$ as size $n imes 1$ column vector with $0$ mean and stardard deviation $0.1$
FORALL{$(s_p, o^{+}_{p}, o^{-}_{p}) in D_{p}$}
STATE Update $U_{s}^{p}$ based on Equation~ ef{eq:sgd1}
STATE Update $V_{o^{+}}^{p}$ based on Equation~ ef{eq:sgd2}
STATE Update $V_{o^{-}}^{p}$ based on Equation~ ef{eq:sgd3}
STATE Update $b_{o^{+}}^{p}$ based on Equation~ ef{eq:sgd4}
STATE Update $b_{o^{-}}^{p}$ based on Equation~ ef{eq:sgd5}
ENDFOR
STATE extbf{return} $U^{p}$, $V^{p}$, $b^{p}$
end{algorithmic}
end{algorithm}
重新定义require和ensure命令对应的关键字(此处将默认的Require/Ensure自定义为Input/Output)
enewcommand{algorithmicrequire}{ extbf{Input:}}
enewcommand{algorithmicensure}{ extbf{Output:}}