## Line Chart: LLaMa-2-7B-Chat Keys
### Overview
The chart visualizes the "Rank keep" metric across 31 layers (0–30) for three configurations: post-RoPE (green), pre-RoPE (orange), and Full Dim (4096, gray dashed). The y-axis ranges from 0 to 4000, with the Full Dim line acting as a constant reference at 4096.
### Components/Axes
- **X-axis (layer)**: Integer values from 0 to 30, representing model layers.
- **Y-axis (Rank keep)**: Scale from 0 to 4000, with gridlines at 1000, 2000, 3000.
- **Legend**:
- Green: post-RoPE
- Orange: pre-RoPE
- Gray dashed: Full Dim (4096)
- **Line styles**: Solid for post-RoPE/pre-RoPE, dashed for Full Dim.
### Detailed Analysis
1. **post-RoPE (green)**:
- Starts at ~100 at layer 0.
- Peaks at ~2200 at layer 25.
- Drops to ~1400 at layer 30.
- Shows gradual increase until layer 25, then a sharp decline.
2. **pre-RoPE (orange)**:
- Starts at 0 at layer 0.
- Rises to ~1300 at layer 25.
- Declines to ~800 at layer 30.
- Steady growth until layer 25, followed by a gradual drop.
3. **Full Dim (4096)**:
- Constant dashed line at 4096 across all layers.
### Key Observations
- **Divergence**: post-RoPE consistently outperforms pre-RoPE in Rank keep until layer 25, where both approach ~1300–2200.
- **Peak at layer 25**: post-RoPE reaches its maximum Rank keep (~2200), while pre-RoPE peaks at ~1300.
- **Decline at layer 30**: post-RoPE drops sharply (~2200 → 1400), while pre-RoPE declines more gradually (~1300 → 800).
- **Full Dim gap**: Both configurations remain below the Full Dim threshold (4096) throughout.
### Interpretation
The data suggests that post-RoPE significantly enhances Rank keep compared to pre-RoPE, particularly in mid-layers (layers 10–25). The sharp decline in post-RoPE at layer 30 may indicate a limitation in later layers, while pre-RoPE’s gradual decline suggests diminishing returns. The Full Dim line (4096) represents an upper bound, implying that neither configuration fully utilizes the model’s dimensional capacity. The peak at layer 25 could highlight an optimal layer for post-RoPE performance, warranting further investigation into layer-specific optimizations.
