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Local outlier factor gives incorrect results #9874

@jerone-andrews

Description

@jerone-andrews

Steps/Code to Reproduce

import numpy as np
from sklearn.neighbors import LocalOutlierFactor
c=np.array([[0,0],[0,1],[1,1],[3,0]])
k=2 #numNeighbours
clf = LocalOutlierFactor(n_neighbors=k, n_jobs=-1,algorithm='brute',metric='manhattan').fit(c) 
Z = clf._decision_function(c)
print(-Z)
[ 0.875  0.875  0.875  1.5  ]

However, the result should be: [ 0.875 1.333 0.875 2. ] if you work it out by hand (assuming a sample can't be the 1st nearest neighbour to itself). So, I think there is something wrong with the LOF implementation. Could somebody confirm either way?

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