LaTeX实战经验：如何写算法
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
\begin{algorithm}
\SetAlgoNoLine % 不要算法中的竖线
\SetKwInOut{Input}{\textbf{输入}}\SetKwInOut{Output}{\textbf{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 $\left(-\sqrt{6}/{k},\sqrt{6}/{k}\right)$\; % 分号 \; 区分一行结束
standarized $\Theta$\;
Initialize the popularity of categories $\rho$ randomly\;
\Repeat
{\text{convergence}}
{Draw a triple $\left(m,i,j\right)$ with 算法\ref{al2}\;
\For {each latent vector $\theta \in \Theta$}{
$\theta \leftarrow \theta - \eta\frac{\partial L}{\partial \theta}$
}
\For {each $W^e \in W$}{
Update $W^e$ with the rule defined in Eq.\ref{equ:W}\;
}
}
\caption{Learning paramters for BPR\label{al3}}
\end{algorithm}
\DecMargin{1em}
使用宏包algorithm与algorithmic
\usepackage{algorithm, algorithmic}
\begin{algorithm}
\renewcommand{\algorithmicrequire}{\textbf{Input:}}
\renewcommand{\algorithmicensure}{\textbf{Output:}}
\caption{Bayesian Personalized Ranking Based Latent Feature Embedding Model}
\label{alg:1}
\begin{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 $m \times K$ matrix with $0$ mean and standard deviation $0.1$
\STATE Initialize $V^{p}$ as size $n \times K$ matrix with $0$ mean and stardard deviation $0.1$
\STATE Initialize $b^{p}$ as size $n \times 1$ 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~\ref{eq:sgd1}
\STATE Update $V_{o^{+}}^{p}$ based on Equation~\ref{eq:sgd2}
\STATE Update $V_{o^{-}}^{p}$ based on Equation~\ref{eq:sgd3}
\STATE Update $b_{o^{+}}^{p}$ based on Equation~\ref{eq:sgd4}
\STATE Update $b_{o^{-}}^{p}$ based on Equation~\ref{eq:sgd5}
\ENDFOR
\STATE \textbf{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)
\renewcommand{\algorithmicrequire}{\textbf{Input:}}
\renewcommand{\algorithmicensure}{\textbf{Output:}}
