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README.md
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@@ -173,20 +173,26 @@ We use the following _statistical-based metrics_:
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- **Scoring Formula**:
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\[
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\text{Score} = \frac{|A \cap B|}{n} \times \left( 1 - \frac{1}{p} \times \min\left(\frac{\text{dist}(A, B)}{\operatorname{max}(n, m)}, p \right)\right)
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\]
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- Ensures a score of 0 when no correct images are present.
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- \( \frac{|A \cap B|}{n} \): Normalization factor.
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- **Details**:
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- Here, 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 >= p_1 ensures the final score falls within the range \[0, 1\].
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- Weighted edit distance can be computed using dynamic programming, with a time complexity of O(mn).
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- **Rouge-L** is a text generation evaluation metric based on the longest common subsequence, measuring the structural similarity between the answer and the ground truth.
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- **Scoring Formula**:
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![\[
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\text{Score} = \frac{|A \cap B|}{n} \times \left( 1 - \frac{1}{p} \times \min\left(\frac{\text{dist}(A, B)}{\operatorname{max}(n, m)}, p \right)\right)
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\]](https://cdn-uploads.huggingface.co/production/uploads/67571051d39ac252085797ca/KF53yea-wyQe9Av2Zn0-q.png)
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- Ensures a score of 0 when no correct images are present.
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- \( \frac{|A \cap B|}{n} \): Normalization factor.
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| 182 |
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- **Details**:
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- Here, 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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+
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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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+
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- **String Deletion**: If B contains extra irrelevant images, delete them. The operation cost is p_2.
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+
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-
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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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+
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- The weights generally satisfy p_1 > p_2 > p_3, and p >= p_1 ensures the final score falls within the range \[0, 1\].
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+
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- Weighted edit distance can be computed using dynamic programming, with a time complexity of O(mn).
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- **Rouge-L** is a text generation evaluation metric based on the longest common subsequence, measuring the structural similarity between the answer and the ground truth.
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