# Technical Document Extraction: Attention Key Query Score Analysis
## Chart Overview
The image is a line chart titled **"Attention Key Query Score, a=40"**. It visualizes the relationship between **Hidden Size** (x-axis) and **Throughput (TFLOP/s)** (y-axis) for varying **h/a** ratios. The chart includes seven data series, each represented by a distinct color and labeled in the legend.
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### Axis Labels and Markers
- **X-Axis (Hidden Size)**:
- Range: 0 to 32,768
- Tick Intervals: 0, 4,096, 8,192, 12,288, 16,384, 20,480, 24,576, 28,672, 32,768
- Label: "Hidden Size"
- **Y-Axis (Throughput)**:
- Range: 0 to 200 TFLOP/s
- Tick Intervals: 0, 50, 100, 150, 200
- Label: "Throughput (TFLOP/s)"
---
### Legend
The legend is positioned on the **right side** of the chart. It maps **h/a ratios** to line colors:
| Color | h/a Ratio | Line Style |
|---------|-----------|------------|
| Blue | 1 | Solid |
| Orange | 2 | Solid |
| Green | 4 | Solid |
| Red | 8 | Solid |
| Purple | 16 | Solid |
| Brown | 32 | Solid |
| Pink | 64 | Solid |
---
### Data Series and Trends
1. **h/a = 1 (Blue Line)**
- **Trend**: Gradual, linear increase with minor fluctuations.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~90 TFLOP/s
2. **h/a = 2 (Orange Line)**
- **Trend**: Steeper than h/a=1, with oscillations.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~140 TFLOP/s
3. **h/a = 4 (Green Line)**
- **Trend**: Moderate growth with periodic dips.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~130 TFLOP/s
4. **h/a = 8 (Red Line)**
- **Trend**: Sharp initial rise, plateauing near 180 TFLOP/s.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~190 TFLOP/s
5. **h/a = 16 (Purple Line)**
- **Trend**: Rapid ascent, peaking at ~200 TFLOP/s, then slight decline.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~200 TFLOP/s
6. **h/a = 32 (Brown Line)**
- **Trend**: Highest throughput, peaking at ~210 TFLOP/s.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~210 TFLOP/s
7. **h/a = 64 (Pink Line)**
- **Trend**: Steep rise to ~200 TFLOP/s, then stabilization.
- **Key Data Points**:
- At Hidden Size = 0: ~0 TFLOP/s
- At Hidden Size = 32,768: ~200 TFLOP/s
---
### Observations
- **Performance Scaling**: Higher h/a ratios (e.g., 32, 64) achieve significantly higher throughput than lower ratios (e.g., 1, 2).
- **Optimal Hidden Size**: For h/a ≥ 8, throughput plateaus near 180–210 TFLOP/s, suggesting diminishing returns beyond Hidden Size = 20,480.
- **Efficiency Tradeoff**: h/a=64 achieves near-peak performance with lower Hidden Size compared to h/a=32.
---
### Spatial Grounding
- **Legend Position**: Right-aligned, outside the plot area.
- **Line-Color Consistency**: All lines match their legend labels (e.g., pink = h/a=64).
---
### Conclusion
The chart demonstrates that increasing the **h/a ratio** improves throughput, with diminishing returns at higher Hidden Sizes. The optimal configuration for maximum throughput is **h/a=32** or **h/a=64**, achieving ~200–210 TFLOP/s.
