## Scatter Plot: BLEU Score vs. Edit Distance with Distribution Shift ### Overview The image is a scatter plot showing the relationship between BLEU Score and Edit Distance. The color of each data point represents the Distribution Shift, ranging from blue (low) to red (high). The plot shows a cluster of points with high BLEU scores and low edit distances, and another cluster with lower BLEU scores and higher edit distances. ### Components/Axes * **X-axis:** Edit Distance, ranging from 0.00 to 0.30 in increments of 0.05. * **Y-axis:** BLEU Score, ranging from 0.2 to 1.0 in increments of 0.1. * **Color Legend (Right Side):** Distribution Shift, ranging from 0.2 (blue) to 0.8 (red). The color gradient indicates the magnitude of the distribution shift. ### Detailed Analysis * **Cluster 1 (Top-Left):** A cluster of approximately 4 blue data points is located in the top-left corner, indicating high BLEU scores (approximately 1.0) and low Edit Distances (approximately 0.0). These points have a low Distribution Shift. * **Cluster 2 (Center-Right):** A larger cluster of points, ranging in color from purple to red, is located in the center-right of the plot. These points have BLEU scores ranging from approximately 0.2 to 0.7, and Edit Distances ranging from approximately 0.1 to 0.3. The Distribution Shift varies from moderate to high. * **Individual Points:** There are a few scattered points between the two main clusters. For example, there is a purple point with an Edit Distance of approximately 0.1 and a BLEU score of approximately 0.7. ### Key Observations * There is a clear separation between the high-BLEU/low-Edit Distance cluster and the lower-BLEU/higher-Edit Distance cluster. * Higher Edit Distances are generally associated with lower BLEU scores and higher Distribution Shifts. * Lower Edit Distances are generally associated with higher BLEU scores and lower Distribution Shifts. ### Interpretation The scatter plot suggests an inverse relationship between Edit Distance and BLEU Score. As the Edit Distance increases, the BLEU Score tends to decrease. The Distribution Shift appears to be correlated with both Edit Distance and BLEU Score, with higher shifts generally occurring when Edit Distance is high and BLEU Score is low. The cluster of points with high BLEU scores and low Edit Distances likely represents a scenario where the generated text is very similar to the reference text, while the other cluster represents a scenario where the generated text is significantly different. The color gradient adds another dimension, suggesting that the distribution shift is also a factor in the performance of the system.