Monotonicity of Jaccard and Dice in multilabel datasets

Asked Mar 23 '20 at 02:37

Active Mar 23 '20 at 03:21

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I understand that Jaccard and Dice follow a monotonic relation on binary datasets because the two are related as $J = {S \over {(2 - S)}}$, and I guess this would be the case when micro-average is used with multi-label datasets. However, would the two metrics follow a monotonic relation when macro-average is used?

edited Mar 23 '20 at 03:21

Ethan

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asked Mar 23 '20 at 02:37

VSR

Monotonicity of Jaccard and Dice in multilabel datasets

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