# Technical Document Extraction: Fractal Dimension Analysis and Symbolic Regression Models
## Section (a): GAAM, Automatic Mode
### Step 1: Training
- **Diagram Components**:
- **Nodes**: Labeled `α`, `λ`, `φ`, `E` (Greek letters and variables).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) connect:
- Top node to middle nodes (`α`, `λ`).
- Middle nodes to bottom nodes (`φ`, `E`).
- Black lines connect remaining nodes.
- **Accuracy**: **98.7%** (bottom of diagram).
- **Legend**:
- Red = Fractal Dimension > 0.5 (top-right corner).
### Step 2: Automatic Symbolic Regression
- **Diagram Components**:
- **Nodes**: Same labels (`α`, `λ`, `φ`, `E`).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) form a denser network:
- Top node connects to all middle nodes.
- Middle nodes interconnect and connect to bottom nodes.
- **Accuracy**: **98.9%** (bottom of diagram).
- **Legend**: Same as Step 1.
---
## Section (b): MAAM, Automatic Mode
### Step 1: Training
- **Diagram Components**:
- **Nodes**: Labeled `λ`, `ρ`, `φ`, `E`.
- **Connections**:
- Red lines (Fractal Dimension > 0.5) connect:
- Top node to middle nodes (`λ`, `ρ`).
- Middle nodes to bottom nodes (`φ`, `E`).
- **Accuracy**: **98.4%** (bottom of diagram).
- **Legend**: Same as Section (a).
### Step 2: Automatic Symbolic Regression
- **Diagram Components**:
- **Nodes**: Same labels (`λ`, `ρ`, `φ`, `E`).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) form a dense network:
- Top node connects to all middle nodes.
- Middle nodes interconnect and connect to bottom nodes.
- **Accuracy**: **97.1%** (bottom of diagram).
- **Legend**: Same as Section (a).
---
## Section (c): MAAM, Manual Mode
### Step 1: Training
- **Diagram Components**:
- **Nodes**: Labeled `λ`, `ρ`, `φ`, `E`.
- **Connections**:
- Red lines (Fractal Dimension > 0.5) connect:
- Top node to middle nodes (`λ`, `ρ`).
- Middle nodes to bottom nodes (`φ`, `E`).
- **Accuracy**: **98.4%** (bottom of diagram).
- **Legend**: Same as Section (a).
### Step 2: Pruning
- **Diagram Components**:
- **Nodes**: Same labels (`λ`, `ρ`, `φ`, `E`).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) reduced:
- Top node connects to middle nodes.
- Middle nodes connect to bottom nodes with fewer interconnections.
- **Accuracy**: **97.7%** (bottom of diagram).
- **Legend**: Same as Section (a).
### Step 3: Fixing Symbolic and Training
- **Diagram Components**:
- **Nodes**: Same labels (`λ`, `ρ`, `φ`, `E`).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) form a simplified network:
- Top node connects to middle nodes.
- Middle nodes connect to bottom nodes with minimal interconnections.
- **Accuracy**: **97.7%** (bottom of diagram).
- **Legend**: Same as Section (a).
### Step 4A: Fixing Symbolic and Training (snap p to cosh)
- **Diagram Components**:
- **Nodes**: Same labels (`λ`, `ρ`, `φ`, `E`).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) form a sparse network:
- Top node connects to middle nodes.
- Middle nodes connect to bottom nodes with no interconnections.
- **Accuracy**: **96.6%** (bottom of diagram).
- **Legend**: Same as Section (a).
### Step 4B: Fixing Symbolic and Training (snap p to quadratic)
- **Diagram Components**:
- **Nodes**: Same labels (`λ`, `ρ`, `φ`, `E`).
- **Connections**:
- Red lines (Fractal Dimension > 0.5) form a fragmented network:
- Top node connects to middle nodes.
- Middle nodes connect to bottom nodes with partial interconnections.
- **Accuracy**: **95.4%** (bottom of diagram).
- **Legend**: Same as Section (a).
---
## Key Observations
1. **Legend Consistency**:
- Red lines in all diagrams correspond to "Fractal Dimension > 0.5" (top-right legend).
- No other colors are defined in the legend; black lines are unclassified.
2. **Accuracy Trends**:
- **GAAM Automatic Mode**: Highest accuracy (98.7–98.9%) with dense red connections.
- **MAAM Automatic Mode**: Slightly lower accuracy (98.4–97.1%) with similar dense networks.
- **MAAM Manual Mode**: Accuracy decreases (98.4% → 95.4%) as steps progress from training to symbolic fixes.
3. **Diagram Complexity**:
- Red lines (Fractal Dimension > 0.5) correlate with higher accuracy.
- Manual mode steps show reduced connectivity and lower accuracy, suggesting pruning/symbolic fixes degrade performance.
4. **Spatial Grounding**:
- All accuracies are positioned at the bottom of their respective diagrams.
- Legend is consistently placed in the top-right corner across all sections.
---
## Notes
- No other languages or data tables are present.
- All textual information is in English.
- Diagrams use geometric shapes (squares, circles) to represent nodes and connections.
