PalmaRelation
PalmaRelation is a formally defined binary relation used in the study of similarity and clustering in data analysis. It is defined on a set S and is derived from a palma distance function, a distance-like measure that assigns a nonnegative value to each pair of elements.
Formally, let S be a set and d: S × S → [0, ∞) be a palma distance, with
Variants include PalmaSimilarity, defined by a similarity score s(a,b) in [0,1] with Rσ defined by s(a,b) ≥ σ.
Origins and use: The term PalmaRelation is named to reflect its construction from a palma distance and
Limitations: Threshold-based relations can be sensitive to scale and the choice of τ; they may fail to
See also: distance, similarity, thresholding, neighborhood graph.