Elements of a vector whose difference is minimum?
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Is it possible to find the elements of a vector whose difference is minimum?
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Matt J
le 6 Oct 2016
Modifié(e) : Matt J
le 6 Oct 2016
If v is the given vector,
N=length(v);
G=abs(bsxfun(@minus,v(:),v(:).'));
G(1:N+1:end)=nan;
[i,j]=find(G==min(G(:)));
v(i), v(j)
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LauraLee Austin
le 6 Oct 2016
Matt J, I like your approach, but it's missing a step which removes the difference of itself (i.e. element 2 minus element 2 equals 0)
G=abs(bsxfun(@minus,v(:),v(:).'));
a = 1:1+length(v):numel(G);
G(a) = NaN;
[i,j]=find(G==min(G(:)));
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Matt J
le 6 Oct 2016
Modifié(e) : Matt J
le 6 Oct 2016
If v is the given vector,
N=length(v);
idx=nchoosek(1:N,2);
I=idx(:,1); J=idx(:,2);
D = abs( v(I) - v(J) );
imin = D==min(D);
v(I(imin)) , v( J(imin) )
Note that I, J can be re-used for further input vectors, v, that are the same length, N.
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