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Mathematical theory of statistics, concerned with formal definitions and general results.

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In calculating the F-measure with precision and recall, why is the harmonic mean used?

The F-measure is often used in the natural language recognition field for means of evaluation. In particular, the F-measure was employed by the Message Understanding Conference (MUC), in order to eval …
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In calculating the F-measure with precision and recall, why is the harmonic mean used?

The article for F-measure in Wikipedia says: The traditional F-measure or balanced F-score (F1 score) is the harmonic mean of precision and recall: $F_1=2\times\frac{precision \times recall}{pr …
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