Given two clustering algorithms, the old and the new, you want to find the difference between their results.
A clustering algorithm takes many member entities as input and partition them into clusters. In this problem, a member entity must be clustered into exactly one cluster. However, we don’t have any pre-knowledge of the clusters, so different algorithms may produce different number of clusters as well as different cluster IDs. One thing we are sure about is that the memberIDs are stable, which means that the same member ID across different algorithms indicates the same member entity.
To compare two clustering algorithms, we care about three kinds of relationship between the old clusters and the new clusters: split, merge and 1:1. Please refer to the figure below.
Let’s explain them with examples. Say in the old result, m0, m1, m2 are clustered into one cluster c0, but in the new result, m0 and m1 are clustered into c0, but m2 alone is clustered into c1. We denote the relationship like the following:
● In the old, c0 = [m0, m1, m2]
● In the new, c0 = [m0, m1], c1 = [m2]
There is no other members in the new c0 and c1. Then we say the old c0 is split into new c0 and new c1. A few more examples:
● In the old, c0 = [m0, m1, m2]
● In the new, c0 = [m0, m1, m2].
This is 1:1.
● In the old, c0 = [m0, m1], c1 = [m2]
● In the new, c0 = [m0, m1, m2]
This is merge. Please note, besides these relationship, there is another kind called “n:n”:
● In the old, c0 = [m0, m1], c1 = [m2, m3]
● In the new, c0 = [m0, m1, m2], c1 = [m3]
We don’t care about n:n.
In this problem, we will give you two sets of clustering results, each describing the old and the new. We want to know the total number of splits, merges, and 1:1 respectively.
@)1%KBO0HM418$J94$1R.jpg)
