Hierarchical Clustering — linkage(y)

Technical Source
2 min readApr 12, 2022

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Hi,

I don’t fully understand the linkage function and its outputs.

>> x=[1 2 6 8]';
>> y=pdist(x)
y = 1 5 7 4 6 2>> Z=linkage(y)Z = 1 2 1
3 4 2
5 6 4

For Z, what does the first and second column stand for? What is the third column? How was the third column calculated based on the input data x and y?

NOTE:-

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Only just figured it out.

The first and second columns are the new group number after clustering.

4 elements in x each was given a group number from 1 to 4.

The system will then group element 1 and 2 in x together and give a new group number ‘5’.

The system will then group element 6 and 8 in x together and give a new group number ‘6’.

The system will at last group ‘5’ and ‘6’ together while group 5 looks like (1,2), and group 6 looks like (6,8).

the third column is the distance between the two group.

first number in column 3 is 1, that is the difference between elements 1 and 2.

SEE COMPLETE ANSWER CLICK THE LINK

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Technical Source
Technical Source

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