I'm doing a clustering algorithm to group properties. In this sense, I have geographic coordinate information for these properties. However, for the clustering process, I would like to exclude some outliers properties. For this, I made the following pseudocode.
Algorithm: Exclusion of outliers properties
1: procedure EXCLUSION OF OUTLIERS PROPERTIES (uij)
2: Calculate dik as in (4), which is the Euclidean distance between
all properties to be clustered.
dik=√(ui2- uk2)2+(ui3- uk3)² , (4)
with i and k from 1, …, n and i≠k
m=mean (dik) (5)
sd=Standard Deviation (dik) (6)
limit=m+3*sd (7)
3: Select property i from {uij} that has distance dik<= limit ∀k, ∀i
4: end procedure
However, after I use the Euclidean distance between the properties in step 2, a distance matrix from each location to every other location is generated. Ex:
[,1] [,2] [,3] [,4]
[1,] 0.000 1522.997 1693.9978 2413.0564
[2,] 1522.997 0.000 2410.7105 2748.2810
[3,] 1693.998 2410.711 0.0000 825.7868
[4,] 2413.056 2748.281 825.7868 0.0000
From this matrix, I take the smallest distance value for each unit. For example, the smallest value between property 1 and other properties is 1522.9967. For the second property, it is 1522.9967, and so on. In this case, I have an matrix like this:
[,1]
[1,] 1522.9967
[2,] 1522.9967
[3,] 825.7868
[4,] 825.7868
So from this matrix, I do mean and standard deviation and so I find limit value. However, I would like to make this adjustment in the pseudocode, regarding this new change I made. Can you help me?
