## Line Graphs: D8 L0 Stable Rank and Alpha (4 Seeds)
### Overview
The image contains two side-by-side line graphs comparing the performance of four different seeds (Seed 42, Seed 1, Seed 2, Seed 3) across two metrics: **Stable Rank** (left) and **Weighted Alpha (α)** (right). Both graphs track changes over **Training Steps** (0 to 10,000). The left graph shows a sharp initial decline in Stable Rank followed by stabilization, while the right graph demonstrates gradual increases in Weighted Alpha before plateauing.
---
### Components/Axes
#### Left Graph: D8 L0 Stable Rank (4 Seeds)
- **X-axis**: Training Step (0 to 10,000, linear scale).
- **Y-axis**: Stable Rank (0 to 140, linear scale).
- **Legend**: Located on the right, with four entries:
- **Seed 42**: Blue line with circle markers.
- **Seed 1**: Orange line with square markers.
- **Seed 2**: Green line with triangle markers.
- **Seed 3**: Pink line with diamond markers.
#### Right Graph: D8 L0 Alpha (4 Seeds)
- **X-axis**: Training Step (0 to 10,000, linear scale).
- **Y-axis**: Weighted Alpha (α) (0 to 1.6, linear scale).
- **Legend**: Located on the right, with the same four seeds and markers as the left graph.
---
### Detailed Analysis
#### Left Graph: Stable Rank
1. **Seed 42 (Blue)**:
- Starts at ~130, drops sharply to ~20 by 2,000 steps, then plateaus.
- **Key Data Points**:
- 0 steps: 130
- 2,000 steps: 20
- 10,000 steps: 18
2. **Seed 1 (Orange)**:
- Starts at ~120, drops to ~30 by 2,000 steps, then stabilizes.
- **Key Data Points**:
- 0 steps: 120
- 2,000 steps: 30
- 10,000 steps: 28
3. **Seed 2 (Green)**:
- Starts at ~110, drops to ~35 by 2,000 steps, then stabilizes.
- **Key Data Points**:
- 0 steps: 110
- 2,000 steps: 35
- 10,000 steps: 32
4. **Seed 3 (Pink)**:
- Starts at ~125, drops to ~40 by 2,000 steps, then stabilizes.
- **Key Data Points**:
- 0 steps: 125
- 2,000 steps: 40
- 10,000 steps: 38
#### Right Graph: Weighted Alpha (α)
1. **Seed 42 (Blue)**:
- Starts at ~0.1, rises steadily to ~0.45 by 10,000 steps.
- **Key Data Points**:
- 0 steps: 0.1
- 2,000 steps: 0.35
- 10,000 steps: 0.45
2. **Seed 1 (Orange)**:
- Starts at ~1.55, remains stable with minor fluctuations (~1.5–1.6).
- **Key Data Points**:
- 0 steps: 1.55
- 2,000 steps: 1.58
- 10,000 steps: 1.57
3. **Seed 2 (Green)**:
- Starts at ~1.58, remains stable (~1.55–1.6).
- **Key Data Points**:
- 0 steps: 1.58
- 2,000 steps: 1.56
- 10,000 steps: 1.57
4. **Seed 3 (Pink)**:
- Starts at ~1.6, remains stable (~1.55–1.6).
- **Key Data Points**:
- 0 steps: 1.6
- 2,000 steps: 1.59
- 10,000 steps: 1.58
---
### Key Observations
1. **Stable Rank**:
- All seeds experience a sharp decline in the first 2,000 steps, followed by stabilization.
- Seed 42 achieves the lowest final Stable Rank (~18), indicating superior stability.
- Seed 3 has the highest final Stable Rank (~38), suggesting poorer stability.
2. **Weighted Alpha**:
- Seed 42 shows the largest increase in α (~0.35 over 10,000 steps), indicating better optimization.
- Seeds 1, 2, and 3 maintain high α values (~1.55–1.6) with minimal change, suggesting they are already near-optimal.
---
### Interpretation
- **Performance Correlation**: Seed 42 excels in both metrics, achieving the lowest Stable Rank and highest α. This suggests it is the most effective seed for the D8 L0 model.
- **Stability vs. Optimization**: The left graph emphasizes stability (lower rank = better), while the right graph highlights optimization potential (higher α = better). Seed 42 balances both, outperforming others.
- **Seed Behavior**: Seeds 1, 2, and 3 converge to similar α values but differ in stability. Seed 3’s higher Stable Rank may indicate slower convergence or sensitivity to initialization.
- **Training Dynamics**: The sharp initial drop in Stable Rank implies rapid early learning, while the gradual α increase reflects incremental improvements in model performance over time.
---
### Spatial Grounding
- **Legend Position**: Right-aligned in both graphs, ensuring clear association between colors/markers and seeds.
- **Axis Alignment**: Y-axes are left-aligned, X-axes are bottom-aligned, with consistent scaling across graphs.
---
### Language Note
No non-English text is present in the image. All labels and titles are in English.
