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Measure of distance between distributions or variables, such as Euclidean distance between points in n-space.

12 votes
2 answers
2k views

Finding a known number of circle centers that maximize the number of points within a fixed d...

I have a set of 2-D data where I want to find the centers of a specified number of centers of circles ($N$) that maximize the total number of points within a specified distance ($R$). e.g. … These seems related to clustering techniques, but rather than minimizing the average distance, the "distance" function is 0 if the point is within $R$ of any of the $N$ points, and 1 otherwise. …
colonel.triq's user avatar
8 votes
1 answer
3k views

Clustering with some cluster centers fixed/known

I am most interested in identifying the centers of the clusters as representing starting points that minimize the average (Euclidean) distance from a point to the nearest cluster center. … The goal is to identify the centers of the unknown clusters that minimize the average distance to a center across all the data points. …
colonel.triq's user avatar