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@@ -142,9 +142,9 @@ We use the following _statistical-based metrics_:
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  - **Image Precision** measures the percentage of correct images in the multimodal answer relative to the total number of inserted images, assessing whether irrelevant images were introduced.
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  It is computed as:
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- \[
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  \text{Image Precision} = \frac{\text{True Positives}}{\text{True Positives} + \text{False Positives}}
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- \]
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  where True Positives are the correctly inserted images, and False Positives are irrelevant images that were included.
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@@ -182,7 +182,8 @@ We use the following _statistical-based metrics_:
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  - **Details**:
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  - Here, \( \text{dist}(A, B) \) represents the weighted edit distance between string \( A \) and string \( B \), i.e., the minimum total cost to transform string \( B \) into string \( A \) through the following three operations:
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- - **String Insertion**: If \( B \) is missing certain images, insert an image from \( A \) into a specific position in \( B \). The operation cost is \( p_1 \).
 
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  - **String Deletion**: If \( B \) contains extra irrelevant images, delete them. The operation cost is \( p_2 \).
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  - **String Substitution**: If the positions of images in \( B \) do not match \( A \), substitute the image in \( B \) with the corresponding image from \( A \). The operation cost is \( p_3 \).
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  - The weights generally satisfy \( p_1 > p_2 > p_3 \), and \( p \geq p_1 \) ensures the final score falls within the range \([0, 1]\).
 
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  - **Image Precision** measures the percentage of correct images in the multimodal answer relative to the total number of inserted images, assessing whether irrelevant images were introduced.
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  It is computed as:
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+ ![\[
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  \text{Image Precision} = \frac{\text{True Positives}}{\text{True Positives} + \text{False Positives}}
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+ \]](https://cdn-uploads.huggingface.co/production/uploads/67571051d39ac252085797ca/vfqon9fMx6NMEAMm1jWbV.png)
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  where True Positives are the correctly inserted images, and False Positives are irrelevant images that were included.
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  - **Details**:
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  - Here, \( \text{dist}(A, B) \) represents the weighted edit distance between string \( A \) and string \( B \), i.e., the minimum total cost to transform string \( B \) into string \( A \) through the following three operations:
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+ - **String Insertion**: If \( B \) is missing certain images, insert an image from \( A \) into a specific position in \( B \)
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+ . The operation cost is \( p_1 \).
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  - **String Deletion**: If \( B \) contains extra irrelevant images, delete them. The operation cost is \( p_2 \).
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  - **String Substitution**: If the positions of images in \( B \) do not match \( A \), substitute the image in \( B \) with the corresponding image from \( A \). The operation cost is \( p_3 \).
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  - The weights generally satisfy \( p_1 > p_2 > p_3 \), and \( p \geq p_1 \) ensures the final score falls within the range \([0, 1]\).