How do I convert between a measure of similarity and a measure of difference (distance)?
Is there a general way to convert between a measure of similarity and a measure of distance? Consider a similarity measure like the number of 2-grams that two strings have in common. 2-grams('beta', 'delta') = 1 2-grams('apple', 'dappled') = 4 What if I need to feed this to an optimization algorithm that expects a measure of difference, like Levenshtein distance? This is just an example...I'm looking for a general solution, if one exists. Like how to go from Levenshtein distance to a measure of similarity? I appreciate any guidance you may offer. Let d denotes distance, s denotes similarity.