\begin{algorithm}我想要一个 Latex 代码，它将使用和编写以下算法\begin{algorithmic}。我已经完成了
\floatname{algorithm}{Procedure}
\renewcommand{\algorithmicrequire}{\textbf{Input:}}
\renewcommand{\algorithmicensure}{\textbf{Output:}}
但不知道如何让其他人像初始化一样。
输入：
f: the function to optimize
ps: the swarm size
d: the problem dimension
输出：
x*: the best fitness value found
初始化：
x_i = (x$_{i1}$,$\cdots$, x_{id}) and v_{i} = (v_{i1}, $\cdots$, $v_{id}$), for all particles in problem space
evaluate f(x_i) in d variables and get pbest_i, (i = 1, $\cdots$, ps)
gbest $\gets$ best of pbest_i
使用公式 (7) 计算 V_max
**While** stopping criteria is false do
Begin Loop for ps times
Begin Loop for d times
**update v_i for particle using equation (4)**
validate for velocity boundaries using V_max
End
**generate \tau**
**update x_i for particle using equation (5) or equation (6)**
validate for position boundaries
End
If f(x_i) < f(pbest_i) then
pbest_i $\gets$ x_i
end if
If f(x_i) < f(gbest_i) then
gbest_i $\gets$ x_i
end if
**End while**
x* $\gets$ gbest
Return x*
结束 PSO 算法