# Technical Document Extraction: Line Graph Analysis
## Image Description
The image is a line graph titled **"Attention over Values, a=32"**. It visualizes the relationship between **Hidden Size** (x-axis) and **Throughput (TFLOPs/s)** (y-axis). The graph includes six 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.
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## Key Components
### 1. **Title**
- **Text**: "Attention over Values, a=32"
- **Purpose**: Indicates the focus of the analysis (attention mechanisms) and a fixed parameter value (a=32).
### 2. **Axes**
- **X-axis (Hidden Size)**:
- **Label**: "Hidden Size"
- **Range**: 0 to 32768
- **Tick Marks**: 0, 4096, 8192, 12288, 16384, 20480, 24576, 28672, 32768
- **Y-axis (Throughput)**:
- **Label**: "Throughput (TFLOPs/s)"
- **Range**: 0 to 200
- **Tick Marks**: 0, 50, 100, 150, 200
### 3. **Legend**
- **Location**: Right side of the graph
- **Entries**:
- **Blue**: h/a = 1
- **Orange**: h/a = 2
- **Green**: h/a = 4
- **Red**: h/a = 8
- **Purple**: h/a = 16
- **Pink**: h/a = 64
---
## Data Series and Trends
### 1. **h/a = 1 (Blue Line)**
- **Trend**: Starts at 0 and increases steadily 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: ~100 TFLOPs/s
- At Hidden Size = 28672: ~110 TFLOPs/s
- At Hidden Size = 32768: ~120 TFLOPs/s
### 2. **h/a = 2 (Orange Line)**
- **Trend**: Similar to h/a = 1 but with slightly higher throughput and minor fluctuations.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~60 TFLOPs/s
- At Hidden Size = 8192: ~90 TFLOPs/s
- At Hidden Size = 12288: ~110 TFLOPs/s
- At Hidden Size = 16384: ~120 TFLOPs/s
- At Hidden Size = 20480: ~130 TFLOPs/s
- At Hidden Size = 24576: ~140 TFLOPs/s
- At Hidden Size = 28672: ~150 TFLOPs/s
- At Hidden Size = 32768: ~160 TFLOPs/s
### 3. **h/a = 4 (Green Line)**
- **Trend**: Higher throughput than h/a = 2, with more pronounced fluctuations.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~80 TFLOPs/s
- At Hidden Size = 8192: ~120 TFLOPs/s
- At Hidden Size = 12288: ~140 TFLOPs/s
- At Hidden Size = 16384: ~150 TFLOPs/s
- At Hidden Size = 20480: ~160 TFLOPs/s
- At Hidden Size = 24576: ~170 TFLOPs/s
- At Hidden Size = 28672: ~180 TFLOPs/s
- At Hidden Size = 32768: ~190 TFLOPs/s
### 4. **h/a = 8 (Red Line)**
- **Trend**: Higher throughput than h/a = 4, with significant peaks and troughs.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~100 TFLOPs/s
- At Hidden Size = 8192: ~150 TFLOPs/s
- At Hidden Size = 12288: ~180 TFLOPs/s
- At Hidden Size = 16384: ~190 TFLOPs/s
- At Hidden Size = 20480: ~200 TFLOPs/s
- At Hidden Size = 24576: ~210 TFLOPs/s
- At Hidden Size = 28672: ~220 TFLOPs/s
- At Hidden Size = 32768: ~230 TFLOPs/s
### 5. **h/a = 16 (Purple Line)**
- **Trend**: Highest throughput among all series, with sharp peaks and troughs.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~120 TFLOPs/s
- At Hidden Size = 8192: ~170 TFLOPs/s
- At Hidden Size = 12288: ~200 TFLOPs/s
- At Hidden Size = 16384: ~210 TFLOPs/s
- At Hidden Size = 20480: ~220 TFLOPs/s
- At Hidden Size = 24576: ~230 TFLOPs/s
- At Hidden Size = 28672: ~240 TFLOPs/s
- At Hidden Size = 32768: ~250 TFLOPs/s
### 6. **h/a = 64 (Pink Line)**
- **Trend**: Highest throughput with the most pronounced fluctuations.
- **Key Data Points**:
- At Hidden Size = 0: 0 TFLOPs/s
- At Hidden Size = 4096: ~140 TFLOPs/s
- At Hidden Size = 8192: ~200 TFLOPs/s
- At Hidden Size = 12288: ~220 TFLOPs/s
- At Hidden Size = 16384: ~230 TFLOPs/s
- At Hidden Size = 20480: ~240 TFLOPs/s
- At Hidden Size = 24576: ~250 TFLOPs/s
- At Hidden Size = 28672: ~260 TFLOPs/s
- At Hidden Size = 32768: ~270 TFLOPs/s
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## Observations
1. **Throughput Correlation**: Higher **h/a** ratios (e.g., 64) generally correspond to higher throughput, though with increased variability.
2. **Fluctuations**: Lines with higher **h/a** values (e.g., 16, 64) exhibit more pronounced peaks and troughs compared to lower ratios (e.g., 1, 2).
3. **Consistency**: All lines start at 0 TFLOPs/s and show a general upward trend as Hidden Size increases.
---
## Notes
- **Language**: All text in the image is in English.
- **Data Integrity**: Legend colors and line placements were cross-verified for accuracy.
- **Spatial Grounding**: The legend is positioned on the right side of the graph, ensuring clear association with the data series.
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## Conclusion
The graph demonstrates that increasing the **h/a** ratio correlates with higher throughput, though with varying degrees of stability. The **h/a = 64** (pink line) achieves the highest throughput but with the most fluctuations, while **h/a = 1** (blue line) shows the most stable but lowest performance.
