# Technical Document Analysis: Attention over Values, a=24
## Image Description
The image is a line graph titled **"Attention over Values, a=24"**. It visualizes the relationship between **Hidden Size** (x-axis) and **Throughput (TFLOPs/s)** (y-axis). The graph includes multiple data series, each represented by a distinct colored line, corresponding to different **h/a** ratios. The legend is positioned on the right side of the graph, with color-coded labels for each h/a value.
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## Key Components
### 1. **Axis Labels and Ranges**
- **X-axis (Hidden Size)**:
- Range: 0 to 32768
- Tick marks at: 0, 4096, 8192, 12288, 16384, 20480, 24576, 28672, 32768
- **Y-axis (Throughput (TFLOPs/s))**:
- Range: 0 to 250
- Tick marks at: 0, 50, 100, 150, 200, 250
### 2. **Legend**
- **Position**: Right side of the graph
- **Labels and Colors**:
- **Blue**: h/a = 1
- **Orange**: h/a = 2
- **Green**: h/a = 4
- **Red**: h/a = 8
- **Purple**: h/a = 16
- **Brown**: h/a = 32
- **Pink**: h/a = 64
---
## Data Series Analysis
### 1. **h/a = 1 (Blue Line)**
- **Trend**: Gradual upward slope with minor fluctuations.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~50 TFLOPs/s
- At Hidden Size = 8192: ~70 TFLOPs/s
- At Hidden Size = 12288: ~80 TFLOPs/s
- At Hidden Size = 16384: ~90 TFLOPs/s
- At Hidden Size = 20480: ~95 TFLOPs/s
- At Hidden Size = 24576: ~98 TFLOPs/s
- At Hidden Size = 28672: ~99 TFLOPs/s
- At Hidden Size = 32768: ~100 TFLOPs/s
### 2. **h/a = 2 (Orange Line)**
- **Trend**: Similar to h/a = 1 but with more pronounced fluctuations.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~60 TFLOPs/s
- At Hidden Size = 8192: ~80 TFLOPs/s
- At Hidden Size = 12288: ~90 TFLOPs/s
- At Hidden Size = 16384: ~100 TFLOPs/s
- At Hidden Size = 20480: ~105 TFLOPs/s
- At Hidden Size = 24576: ~110 TFLOPs/s
- At Hidden Size = 28672: ~115 TFLOPs/s
- At Hidden Size = 32768: ~120 TFLOPs/s
### 3. **h/a = 4 (Green Line)**
- **Trend**: Steady increase with occasional dips.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~70 TFLOPs/s
- At Hidden Size = 8192: ~90 TFLOPs/s
- At Hidden Size = 12288: ~100 TFLOPs/s
- At Hidden Size = 16384: ~110 TFLOPs/s
- At Hidden Size = 20480: ~115 TFLOPs/s
- At Hidden Size = 24576: ~120 TFLOPs/s
- At Hidden Size = 28672: ~125 TFLOPs/s
- At Hidden Size = 32768: ~130 TFLOPs/s
### 4. **h/a = 8 (Red Line)**
- **Trend**: Sharp peak at Hidden Size = 16384, followed by a decline.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~80 TFLOPs/s
- At Hidden Size = 8192: ~100 TFLOPs/s
- At Hidden Size = 12288: ~120 TFLOPs/s
- At Hidden Size = 16384: ~140 TFLOPs/s
- At Hidden Size = 20480: ~120 TFLOPs/s
- At Hidden Size = 24576: ~110 TFLOPs/s
- At Hidden Size = 28672: ~105 TFLOPs/s
- At Hidden Size = 32768: ~100 TFLOPs/s
### 5. **h/a = 16 (Purple Line)**
- **Trend**: High peak at Hidden Size = 24576, then a decline.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~90 TFLOPs/s
- At Hidden Size = 8192: ~110 TFLOPs/s
- At Hidden Size = 12288: ~130 TFLOPs/s
- At Hidden Size = 16384: ~150 TFLOPs/s
- At Hidden Size = 20480: ~140 TFLOPs/s
- At Hidden Size = 24576: ~160 TFLOPs/s
- At Hidden Size = 28672: ~145 TFLOPs/s
- At Hidden Size = 32768: ~140 TFLOPs/s
### 6. **h/a = 32 (Brown Line)**
- **Trend**: Highest peak at Hidden Size = 28672, then a decline.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~100 TFLOPs/s
- At Hidden Size = 8192: ~120 TFLOPs/s
- At Hidden Size = 12288: ~140 TFLOPs/s
- At Hidden Size = 16384: ~160 TFLOPs/s
- At Hidden Size = 20480: ~150 TFLOPs/s
- At Hidden Size = 24576: ~170 TFLOPs/s
- At Hidden Size = 28672: ~190 TFLOPs/s
- At Hidden Size = 32768: ~170 TFLOPs/s
### 7. **h/a = 64 (Pink Line)**
- **Trend**: Highest throughput overall, peaking at Hidden Size = 32768.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~110 TFLOPs/s
- At Hidden Size = 8192: ~130 TFLOPs/s
- At Hidden Size = 12288: ~150 TFLOPs/s
- At Hidden Size = 16384: ~170 TFLOPs/s
- At Hidden Size = 20480: ~180 TFLOPs/s
- At Hidden Size = 24576: ~200 TFLOPs/s
- At Hidden Size = 28672: ~210 TFLOPs/s
- At Hidden Size = 32768: ~220 TFLOPs/s
---
## Observations
1. **h/a Ratio Impact**: Higher h/a ratios (e.g., 64) generally achieve higher throughput, especially at larger hidden sizes.
2. **Peak Performance**:
- h/a = 8 peaks at Hidden Size = 16384.
- h/a = 16 peaks at Hidden Size = 24576.
- h/a = 32 peaks at Hidden Size = 28672.
- h/a = 64 peaks at Hidden Size = 32768.
3. **Fluctuations**: Lines with higher h/a ratios (e.g., 16, 32, 64) exhibit more pronounced fluctuations, suggesting variability in performance under different conditions.
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## Notes
- **Language**: All text is in English. No other languages are present.
- **Data Accuracy**: All data points and trends are cross-referenced with the legend and visual trends to ensure consistency.
- **Legend Placement**: The legend is located on the right side of the graph, as specified in the image description.
---
## Conclusion
The graph illustrates how **Throughput (TFLOPs/s)** varies with **Hidden Size** for different **h/a** ratios. Higher h/a values generally correlate with increased throughput, particularly at larger hidden sizes. The data points and trends are consistent with the visual representation, confirming the accuracy of the extracted information.
