Local outlier factor

Local outlier factor

Harmonised notation

← Previous revision Revision as of 07:17, 23 April 2026
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which is the ''average local reachability density of the neighbors'' divided by the object's own local reachability density. A value of approximately {{math|1}} indicates that the object is comparable to its neighbors (and thus not an outlier). A value below {{math|1}} indicates a denser region (which would be an inlier), while values significantly larger than {{math|1}} indicate outliers.
which is the ''average local reachability density of the neighbors'' divided by the object's own local reachability density. A value of approximately {{math|1}} indicates that the object is comparable to its neighbors (and thus not an outlier). A value below {{math|1}} indicates a denser region (which would be an inlier), while values significantly larger than {{math|1}} indicate outliers.


{{math|LOF(k) ~ 1}} means '''Similar density as neighbors,'''
<math> \text{LOF}_k(A) \sim 1 means '''Similar density as neighbors,'''


{{math|LOF(k) < 1}} means '''Higher density than neighbors (Inlier),'''
<math> \text{LOF}_k(A) < 1 means '''Higher density than neighbors (Inlier),'''


{{math|LOF(k) > 1}} means '''Lower density than neighbors (Outlier)'''
<math> \text{LOF}_k(A) > 1 means '''Lower density than neighbors (Outlier).'''


== Advantages ==
== Advantages ==