MATLAB PageRank小结

从网上找到 Page-Rank-Matlab-Code 提及 MATLAB 的 PageRank 代码，使用 profile viewer 发现有一段 for 效率极低

源代码如下

function p=PageRank(L,d) 
% return PageRank vector 
% 
% input: 
% L = Link Matrix (=rotated adjacency matrix) 
% d = constant parameter 
% 
% Example from Kardi Teknomo's Page Rank tutorial 
% is given as input and output of this function. 
% Read the full tutorial for more explanation. 
% 
% (c) 2012 Kardi Teknomo 
% https://people.revoledu.com/kardi/tutorial/ 
%%%%%%%%%%%%%%%%%%%%%%% 
if nargin<1 
    L=[1 1 1 1 1 1; 
       0 1 1 1 1 1; 
       0 0 1 1 1 1; 
       0 0 0 1 1 1; 
       0 0 0 0 1 1; 
       0 0 0 0 0 1;]; 
end 
if nargin<2, 
    d=0.85; 
end 
  
[m,n]=size(L); 
c=sum(L); 
L_c=L./repmat(c,m,1); 
k=0; 
  
while 1 
    k=k+1; 
    for i=1:m
        p(i)=(1-d)+d*(L_c(i,:)*c'); 
    end
    c=p; 
    if sum(sum(p))==m || k>256, 
        break; 
    end
end

修改如下

function p=PageRank(L,d) 
% return PageRank vector 
% 
% input: 
% L = Link Matrix (=rotated adjacency matrix) 
% d = constant parameter 
% 
% Example from Kardi Teknomo's Page Rank tutorial 
% is given as input and output of this function. 
% Read the full tutorial for more explanation. 
% 
% (c) 2012 Kardi Teknomo 
% https://people.revoledu.com/kardi/tutorial/ 
%%%%%%%%%%%%%%%%%%%%%%% 
if nargin<1 
    L=[1 1 1 1 1 1; 
       0 1 1 1 1 1; 
       0 0 1 1 1 1; 
       0 0 0 1 1 1; 
       0 0 0 0 1 1; 
       0 0 0 0 0 1;]; 
end 
if nargin<2, 
    d=0.85; 
end 
  
[m,n]=size(L); 
c=sum(L); 
L_c=L./repmat(c,m,1); 
k=0; 
  
while 1 
    k=k+1; 
    p=(1-d)+(L_c(:,:)*c')*d;
    c=p'; 
    if sum(sum(p))==m || k>256, 
        break; 
    end
end