how to speed ...i need very fast code
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q=6062; %%I want to call this code and pass it a different 'q' each time
matrix=matri(1:q,:);
[~,c]=size(matrix);
COR=zeros(c,c);
tic
gg=1:c;
a=matrix(:,gg);
for yy=1:c
b=matrix(:,yy);
cc=sum((a>0 & b>0)|(a<0 & b<0),1);
cc1=sum(a~=0 & b~=0,1);
COR(yy,gg)=round(cc./cc1*1000)/1000; %round(100 * cc./cc1)/100; %%array multidimension
end
toc
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采纳的回答
Star Strider
2023-8-30
编辑:Star Strider
2023-8-30
Putting the ‘a’ conditional tests outside the loop (and still within the tic-toc block) sppeds it up a bit —
LD = load('matlab_matri.mat')
matri = LD.matri;
q=6062; %%I want to call this code and pass it a different 'q' each time
matrix=matri(1:q,:);
[~,c]=size(matrix);
COR=zeros(c,c);
tic
gg=1:c;
a=matrix(:,gg);
for yy=1:c
b=matrix(:,yy);
cc=sum((a>0 & b>0)|(a<0 & b<0),1);
cc1=sum(a~=0 & b~=0,1);
COR(yy,gg)=round(cc./cc1*1000)/1000; %round(100 * cc./cc1)/100; %%array multidimension
end
toc
COR
tic
agt0 = matrix>0;
alt0 = matrix<0;
ane0 = matrix~=0;
for yy = 1:c
cc=sum((agt0 & agt0(:,yy))|(alt0 & alt0(:,yy)),1);
cc1=sum(ane0 & ane0(:,yy),1);
COR(:,yy) = cc./cc1;
end
COR = round(COR,4);
toc
COR
EDIT — Slight tweak to create all the conditionals together.
.
更多回答(2 个)
Bruno Luong
2023-8-30
编辑:Bruno Luong
2023-8-30
You want REALLY FAST code?
Watch this, almost 100 time faster
load('matlab_matri.mat')
q=6062; %%I want to call this code and pass it a different 'q' each time
matrix=matri(1:q,:);
[~,c]=size(matrix);
tic
COR=zeros(c,c); % you have to count this as well
gg=1:c;
a=matrix(:,gg);
for yy=1:c
b=matrix(:,yy);
cc=sum((a>0 & b>0)|(a<0 & b<0),1);
cc1=sum(a~=0 & b~=0,1);
COR(yy,gg)=round(cc./cc1*1000)/1000; %round(100 * cc./cc1)/100; %%array multidimension
end
toc
tic
s = sign(matrix);
b = double(matrix~=0);
cor = round((1 + (s'*s)./(b'*b))*500)/1000;
toc
% Does it match?
isequaln(cor,COR)
4 个评论
Bruno Luong
2023-8-31
编辑:Bruno Luong
2023-8-31
No it is not correct.
Correct one is this
% cor = round((1 + (s'*s)./((b'*b)+eps(0.5)))*500)/1000;
This will return identical numerical result, excepted when working on colum dot-product that contain all 0s.
The reason is the minimum strictly positive of (b'*b) is 1, adding eps(0.5) to it does not change the value, unless it is 0 where it protect the denominator to vanishe, as showed here
load('matlab_matri.mat')
q=6062; %%I want to call this code and pass it a different 'q' each time
matrix=matri(1:q,:);
[~,c]=size(matrix);
s = sign(matrix);
b = double(matrix~=0);
cor = round((1 + (s'*s)./(b'*b))*500)/1000;
s = sign(matrix);
b = double(matrix~=0);
cornan = round((1 + (s'*s)./((b'*b)+eps(0.5)))*500)/1000;
any(isnan(cor),'all') % nan is present
any(isnan(cornan),'all') % nan disappears
% Does it match? 0 is perfectly match
max(abs(cor-cornan),[],'all')
Note that in my case cornan contain 1 for correlation of two colums of matrix that do not share 1s, and not 0 as with your code. It is somewhat an arbitrary choice, since the correlation is undefined. Without protection MATLAB NaN result is actually more "correct" IMO since it reflects this fact of arbitrary choice.
If it bother you, just do not protect, then simply add this at the end:
cor(isnan(cor)) = 0;
Alternatively you can do this to return 0 for degenerated case
s = sign(matrix);
b = double(matrix~=0);
btb = b'*b;
cornan = round(((btb + (s'*s))./(btb+eps(0.5)))*500)/1000;
David Hill
2023-8-30
q=6062;
matrix=matri(1:q,:);
c=size(matrix,2);
COR=zeros(c);
a=matrix;
for yy=1:c
b=matrix(:,yy);
COR(yy,:)=round(sum((a>0 & b>0)|(a<0 & b<0),1)./sum(a~=0 & b~=0,1),3);
end
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