# Technical Document Extraction: Line Chart Analysis
## Chart Type
Line chart comparing model accuracy across different computational budgets.
## Axes
- **X-axis**: Budget (# of model generations)
- Logarithmic scale: 2⁰ to 2⁷ (1 to 128 generations)
- **Y-axis**: Accuracy (0.2 to 0.7)
## Legend
Located in lower-right corner. Color-coded data series:
1. **Red (Diamond markers)**: Weighted BoN (Llama-3.2-1B-Instruct)
2. **Blue (Square markers)**: Ours-Particle Filtering (Llama-3.2-1B-Instruct)
3. **Purple (Triangle markers)**: DVTS (Llama-3.2-1B-Instruct)
4. **Gray dotted line**: 0-shot CoT (Greedy)
## Horizontal Reference Lines
- **GPT-4o**: ~0.7 accuracy (dotted black line)
- **Llama-3.1-70B-Instruct**: ~0.6 accuracy (dotted black line)
## Data Series Analysis
### 1. Weighted BoN (Red)
- **Trend**: Steady upward slope
- **Key Points**:
- 2⁰: ~0.2
- 2¹: ~0.27
- 2²: ~0.34
- 2³: ~0.4
- 2⁴: ~0.43
- 2⁵: ~0.47
- 2⁶: ~0.48
- 2⁷: ~0.5
### 2. Ours-Particle Filtering (Blue)
- **Trend**: Steep initial ascent, then gradual increase
- **Key Points**:
- 2⁰: ~0.2
- 2¹: ~0.31
- 2²: ~0.43
- 2³: ~0.5
- 2⁴: ~0.53
- 2⁵: ~0.57
- 2⁶: ~0.6
- 2⁷: ~0.6
### 3. DVTS (Purple)
- **Trend**: Consistent upward trajectory
- **Key Points**:
- 2⁰: ~0.2
- 2¹: ~0.28
- 2²: ~0.4
- 2³: ~0.44
- 2⁴: ~0.49
- 2⁵: ~0.5
- 2⁶: ~0.53
- 2⁷: ~0.55
### 4. 0-shot CoT (Greedy) (Gray Dotted)
- **Trend**: Flat line
- **Value**: ~0.2 across all x-axis points
## Spatial Grounding
- Legend positioned at [x: 0.8, y: 0.2] relative to chart dimensions
- All data point colors match legend specifications exactly
## Key Observations
1. **Scaling Efficiency**:
- Ours-Particle Filtering shows the steepest improvement (0.2→0.6 across 128x budget)
- Weighted BoN demonstrates most consistent gains (0.2→0.5)
2. **Benchmark Comparison**:
- All models remain below GPT-4o (0.7) and Llama-3.1-70B-Instruct (0.6) benchmarks
3. **Diminishing Returns**:
- Performance gains slow significantly after 2⁵ generations (32x budget)
## Data Table Reconstruction
| Budget (2ⁿ) | Weighted BoN | Ours-Particle | DVTS | 0-shot CoT |
|-------------|--------------|---------------|------|------------|
| 2⁰ | 0.2 | 0.2 | 0.2 | 0.2 |
| 2¹ | 0.27 | 0.31 | 0.28 | 0.2 |
| 2² | 0.34 | 0.43 | 0.4 | 0.2 |
| 2³ | 0.4 | 0.5 | 0.44 | 0.2 |
| 2⁴ | 0.43 | 0.53 | 0.49 | 0.2 |
| 2⁵ | 0.47 | 0.57 | 0.5 | 0.2 |
| 2⁶ | 0.48 | 0.6 | 0.53 | 0.2 |
| 2⁷ | 0.5 | 0.6 | 0.55 | 0.2 |
## Language Notes
- All text in English
- No non-English content detected
