F-Score - Yousef's Notes
F-Score

F-Score

Harmonic mean of Precision and Recall, parametrized with a positive real number, chosen such that recall is considered $\beta$ times as important as precision.

  • $\beta=2$: recall twice as high as precision,
  • $\beta=0.5$, weighs recall twice as low as precision.
$$ \mathrm{F}_{\beta}=(1+\beta^{2})\times{\frac{\mathrm{precision}\times\mathrm{recall}}{(\beta^{2}\times\mathrm{precision})+\mathrm{recall}}} $$