Because the Sørensen–Dice coefficient doesn't satisfy the triangle inequality, it may be considered a semimetric Model on the Jaccard index.[4]

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For sets X and Y of key terms used in information and facts retrieval, the coefficient may very well be defined as two times the shared info (intersection) over the sum of cardinalities :[ten]

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compared to Euclidean distance, the Sørensen distance retains sensitivity in additional heterogeneous information sets and provides a lot less body weight to outliers.[15] not long ago the Dice score (and its variants, e.g. logDice taking a logarithm of it) has become well-known in Pc lexicography for measuring the lexical Affiliation rating of two offered copyright.[16]