## Heatmap: Baseline - Core Generalization - Qwen-2.5B
### Overview
This image presents a heatmap visualizing the accuracy of a model (Qwen-2.5B) across different sequence lengths and input types. The heatmap uses a color gradient to represent accuracy percentages, ranging from approximately 0% (white) to 100% (dark blue). The x-axis represents sequence length, and the y-axis represents input type.
### Components/Axes
* **Title:** Baseline - Core Generalization - Qwen-2.5B (positioned at the top-center)
* **X-axis Label:** Length (positioned at the bottom-center)
* **X-axis Markers:** 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
* **Y-axis Label:** Type (positioned at the left-center)
* **Y-axis Markers:** h, ~, m, 4, u, o, >
* **Color Scale/Legend:** A vertical color bar on the right side of the heatmap, representing accuracy percentages.
* 0% is represented by white.
* 100% is represented by dark blue.
* Intermediate values are represented by shades of blue.
* **Data Points:** Each cell in the heatmap represents the accuracy for a specific combination of input type and sequence length. The values are displayed as percentages within each cell.
### Detailed Analysis
The heatmap displays accuracy values for 7 input types (h, ~, m, 4, u, o, >) across 20 sequence lengths (0 to 19). The values are as follows (approximated to one decimal place):
* **Type 'h':**
* Length 0: 96.7%
* Length 1: 96.3%
* Length 2: 95.3%
* Length 3: 87.7%
* Length 4: 83.0%
* Length 5: 82.0%
* Length 6: 86.0%
* Length 7: 86.0%
* Length 8: 83.7%
* **Type '~':**
* Length 0: 100.0%
* Length 1: 99.7%
* Length 2: 99.3%
* Length 3: 98.7%
* Length 4: 98.0%
* Length 5: 99.3%
* Length 6: 99.3%
* Length 7: 97.3%
* Length 8: 97.7%
* **Type 'm':**
* Length 0: 98.0%
* Length 1: 94.0%
* Length 2: 95.7%
* Length 3: 89.7%
* Length 4: 86.0%
* Length 5: 88.3%
* Length 6: 90.3%
* Length 7: 86.7%
* Length 8: 89.3%
* Length 9: 86.0%
* Length 10: 90.0%
* Length 11: 89.0%
* Length 12: 90.0%
* Length 13: 90.0%
* Length 14: 89.0%
* Length 15: 90.0%
* Length 16: 89.0%
* Length 17: 86.0%
* Length 18: 89.7%
* **Type '4':**
* Length 0: 98.3%
* Length 1: 96.3%
* Length 2: 91.0%
* Length 3: 91.7%
* Length 4: 92.0%
* Length 5: 91.0%
* Length 6: 92.3%
* Length 7: 92.7%
* Length 8: 90.7%
* **Type 'u':**
* Length 0: 80.3%
* Length 1: 84.3%
* Length 2: 81.3%
* Length 3: 87.3%
* Length 4: 85.7%
* Length 5: 89.0%
* Length 6: 90.0%
* Length 7: 85.0%
* Length 8: 87.3%
* Length 9: 86.0%
* Length 10: 89.7%
* **Type 'o':**
* Length 0: 100.0%
* Length 1: 99.3%
* Length 2: 99.7%
* Length 3: 99.0%
* Length 4: 100.0%
* Length 5: 98.3%
* Length 6: 99.3%
* Length 7: 98.3%
* Length 8: 98.7%
* Length 9: 97.7%
* Length 10: 98.7%
* Length 11: 98.3%
* Length 12: 97.7%
* **Type '>':**
* Length 0: 99.7%
* Length 1: 98.7%
* Length 2: 98.0%
* Length 3: 96.0%
* Length 4: 95.7%
* Length 5: 95.0%
* Length 6: 92.3%
* Length 7: 91.0%
* Length 8: 84.7%
* Length 9: 82.7%
* Length 10: 87.3%
### Key Observations
* Generally, accuracy is high for shorter sequence lengths (0-5) across all input types.
* Accuracy tends to decrease as sequence length increases, particularly for input types 'h', 'm', '4', 'u', and '>'.
* Input type '~' consistently exhibits very high accuracy (close to 100%) across all sequence lengths.
* Input type 'o' also shows consistently high accuracy, generally above 98%.
* Input type 'u' has the lowest overall accuracy, especially for longer sequence lengths.
* There is a noticeable dip in accuracy for type 'h' at length 3 and 4.
### Interpretation
The heatmap demonstrates the performance of the Qwen-2.5B model on different input types and sequence lengths. The model performs best on shorter sequences and certain input types ('~' and 'o'). The decline in accuracy with increasing sequence length suggests that the model may struggle with long-range dependencies or have limitations in processing longer contexts. The variation in performance across input types indicates that the model is sensitive to the characteristics of the input data. The heatmap provides valuable insights into the model's strengths and weaknesses, which can inform further development and optimization efforts. The consistent high performance of type '~' suggests it may be a particularly well-suited input format for this model. The lower performance of type 'u' could indicate a need for more training data or architectural adjustments to better handle that type of input.