# Technical Document Analysis: Attention over Values, a=40 ## Chart Description This image is a **line graph** titled **"Attention over Values, a=40"**. It visualizes the relationship between **Hidden Size** (x-axis) and **Throughput (TFLOPs/s)** (y-axis) for different **h/a** ratios. The graph includes seven data series, each represented by a distinct color and labeled in the legend. --- ## Axis Labels and Markers - **X-axis (Hidden Size)**: - Range: `0` to `32768` - Tick marks: `0`, `4096`, `8192`, `12288`, `16384`, `20480`, `24576`, `28672`, `32768` - Units: Not explicitly labeled, but implied as numerical values. - **Y-axis (Throughput (TFLOPs/s))**: - Range: `0` to `200` - Tick marks: `0`, `50`, `100`, `150`, `200` - Units: **TFLOPs/s** (Terabytes per second). --- ## Legend The legend is located on the **right side** of the graph and maps colors to **h/a** ratios: | Color | h/a Ratio | |-------------|-----------| | Blue | 1 | | Orange | 2 | | Green | 4 | | Red | 8 | | Purple | 16 | | Brown | 32 | | Pink | 64 | **Spatial Grounding**: - The legend is positioned **vertically** on the right, with each color aligned to its corresponding h/a ratio. - Colors match the lines in the graph exactly (e.g., blue line = h/a=1, pink line = h/a=64). --- ## Data Series and Trends ### 1. **h/a=1 (Blue Line)** - **Trend**: Starts at `0` and increases gradually, reaching approximately `80 TFLOPs/s` at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~30 TFLOPs/s - At `Hidden Size = 8192`: ~50 TFLOPs/s - At `Hidden Size = 16384`: ~70 TFLOPs/s - At `Hidden Size = 32768`: ~80 TFLOPs/s ### 2. **h/a=2 (Orange Line)** - **Trend**: Similar to h/a=1 but with minor fluctuations. Peaks at ~120 TFLOPs/s at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~40 TFLOPs/s - At `Hidden Size = 8192`: ~70 TFLOPs/s - At `Hidden Size = 16384`: ~100 TFLOPs/s - At `Hidden Size = 32768`: ~120 TFLOPs/s ### 3. **h/a=4 (Green Line)** - **Trend**: Steady increase with minor dips. Reaches ~140 TFLOPs/s at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~50 TFLOPs/s - At `Hidden Size = 8192`: ~90 TFLOPs/s - At `Hidden Size = 16384`: ~120 TFLOPs/s - At `Hidden Size = 32768`: ~140 TFLOPs/s ### 4. **h/a=8 (Red Line)** - **Trend**: Sharp increase with peaks. Peaks at ~180 TFLOPs/s at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~60 TFLOPs/s - At `Hidden Size = 8192`: ~110 TFLOPs/s - At `Hidden Size = 16384`: ~150 TFLOPs/s - At `Hidden Size = 32768`: ~180 TFLOPs/s ### 5. **h/a=16 (Purple Line)** - **Trend**: Rapid rise followed by stabilization. Peaks at ~200 TFLOPs/s at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~70 TFLOPs/s - At `Hidden Size = 8192`: ~130 TFLOPs/s - At `Hidden Size = 16384`: ~180 TFLOPs/s - At `Hidden Size = 32768`: ~200 TFLOPs/s ### 6. **h/a=32 (Brown Line)** - **Trend**: Steep increase with fluctuations. Peaks at ~210 TFLOPs/s at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~80 TFLOPs/s - At `Hidden Size = 8192`: ~140 TFLOPs/s - At `Hidden Size = 16384`: ~190 TFLOPs/s - At `Hidden Size = 32768`: ~210 TFLOPs/s ### 7. **h/a=64 (Pink Line)** - **Trend**: Highest peaks, reaching ~220 TFLOPs/s at `Hidden Size = 32768`. - **Key Points**: - At `Hidden Size = 4096`: ~90 TFLOPs/s - At `Hidden Size = 8192`: ~150 TFLOPs/s - At `Hidden Size = 16384`: ~200 TFLOPs/s - At `Hidden Size = 32768`: ~220 TFLOPs/s --- ## Observations 1. **Inverse Relationship**: As **h/a** increases, **Throughput (TFLOPs/s)** generally increases, indicating higher computational efficiency for larger h/a ratios. 2. **Fluctuations**: Lines for h/a=8, 16, 32, and 64 show irregular peaks and dips, suggesting variability in performance at specific Hidden Sizes. 3. **Saturation**: The pink line (h/a=64) achieves the highest throughput but shows a slight decline after `Hidden Size = 28672`, possibly indicating diminishing returns. --- ## Notes - **Language**: All text in the image is in **English**. - **Data Table**: No explicit data table is present; values are inferred from the graph. - **Missing Information**: No additional textual annotations or footnotes are visible. This analysis is based on the visual data and legend provided in the image. Numerical values are approximate and derived from the graph's scale.