General Discussions

Dice Index

Used for comparing the similarity of two samples. Also known as F1 score or Dice similarity coefficient. Majorly known as Sørensen–Dice index.

Dice Index is calculated using the formula:

dice-index

Where X and Y are sets of features for each of the concepts and | | is cardinality of a set.

Example:
X = {1, 3, 5, 8}
|X| = 4

Y = {3, 7, 8}
|Y| = 3

X ∩Y = { 3, 8 }
|X ∩Y| = 2

Using the formula:
Similarity = 2 * 2 / (4 + 3) = 4 / 7 = 0.5714

Applications:

  • Computer lexicography for measuring the lexical association score of two given words
  • Image segmentation
  • Comparing algorithm output against reference masks in medical applications
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