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3 questions from Evaluation Metrics, Object Detection

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3 questions · 3 min · score and explanations at the end

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Question 1: Short answer

mediumAI-checkedEvaluation Metrics

A query has 3 relevant documents. The ranking's top 6 results have relevance [1,0,1,0,0,1][1, 0, 1, 0, 0, 1] (1 = relevant), so all 3 are retrieved. Using AP=1R∑kP@k⋅relk\mathrm{AP} = \frac{1}{R}\sum_{k} P@k \cdot \mathrm{rel}_k with R=3R = 3, what is the average precision? Give 3 decimals.

a number between 0 and 1, 3 decimals