- Scale Invariance: If all the distances are multiplied by a constant, the same partition arises.
- Richness: All possible partitions of the n points are achievable by some distance matrix. (This is ostensibly to avoid a clustering function always giving some constant clustering)
- Consistency: Take some distance matrix and consider the partition the clustering function outputs. If we change the distance matrix in such a way that
- the distances between pairs of points that are separated by the partitioning do not decrease
- the distances between pairs of points that fall into the same partition do not increase
Went to the talk
Went climbing with christina. I didn't manage any V1s (and I'm not certain I even did any V0+s come to think) but I did top out on one side of one structure that I hadn't before, on a V0 course. Quite fun.