# Technical Document Extraction: Multi-Density Model Performance Analysis ## Chart Structure Overview Three comparative line charts are presented side-by-side, each representing different system densities (5%, 15%, 30%). All charts share identical axis configurations and legend placement. ### Axis Configuration - **X-axis**: - Label: "Number of Variables" - Scale: Logarithmic (10¹ to 10³) - Tick Marks: 10, 100, 1000 - **Y-axis**: - Label: "Average Power Rate (W)" - Scale: Logarithmic (10⁻¹ to 10²) - Tick Marks: 0.1, 1, 10, 100 ### Legend Analysis - **Position**: Right-aligned outside plot area - **Color-Coded Models**: 1. 🟢 Solid line: Model A 2. 🟠 Dashed line: Model B 3. 🔵 Dotted line: Model C 4. 🔵 Dash-dot line: Model D ## Density-Specific Observations ### Density 5% Chart - **Model A**: - Y-values: 100 → 100 → 100 (stable across all x-values) - Trend: Flat line at 10² W - **Model B**: - Y-values: 80 → 80 → 80 (stable) - Trend: Parallel to Model A but 20% lower - **Model C**: - Y-values: 20 → 20 → 25 (slight increase) - Trend: Gradual upward slope - **Model D**: - Y-values: 10 → 10 → 15 (notable increase) - Trend: Steeper upward trajectory ### Density 15% Chart - **Model A**: - Y-values: 120 → 120 → 120 (stable) - Trend: Flat line at 10².08 W - **Model B**: - Y-values: 90 → 90 → 90 (stable) - Trend: Parallel to Model A but 25% lower - **Model C**: - Y-values: 25 → 25 → 28 (moderate increase) - Trend: Consistent upward slope - **Model D**: - Y-values: 12 → 12 → 18 (significant increase) - Trend: Steep upward trajectory ### Density 30% Chart - **Model A**: - Y-values: 130 → 130 → 130 (stable) - Trend: Flat line at 10².11 W - **Model B**: - Y-values: 100 → 100 → 100 (stable) - Trend: Parallel to Model A but 23% lower - **Model C**: - Y-values: 30 → 30 → 35 (noticeable increase) - Trend: Steady upward slope - **Model D**: - Y-values: 15 → 15 → 20 (doubling observed) - Trend: Most pronounced upward trajectory ## Cross-Chart Analysis 1. **Model A** maintains consistent performance across all densities 2. **Model B** shows proportional scaling with system density 3. **Model C** demonstrates density-dependent performance improvement 4. **Model D** exhibits exponential growth correlation with system density ## Spatial Grounding Confirmation - All legend colors match line styles exactly - Y-axis values correspond to log-scale positioning - X-axis values align with logarithmic progression ## Data Table Reconstruction | Density | Model | 10¹ Variables | 10² Variables | 10³ Variables | |---------|-------|---------------|---------------|---------------| | 5% | A | 100 | 100 | 100 | | 5% | B | 80 | 80 | 80 | | 5% | C | 20 | 20 | 25 | | 5% | D | 10 | 10 | 15 | | 15% | A | 120 | 120 | 120 | | 15% | B | 90 | 90 | 90 | | 15% | C | 25 | 25 | 28 | | 15% | D | 12 | 12 | 18 | | 30% | A | 130 | 130 | 130 | | 30% | B | 100 | 100 | 100 | | 30% | C | 30 | 30 | 35 | | 30% | D | 15 | 15 | 20 | ## Key Technical Insights 1. Model A maintains optimal performance across all densities 2. Model D shows density-dependent performance degradation 3. System density correlates with power rate requirements 4. Model C demonstrates adaptive scaling characteristics 5. All models maintain sub-100W operation at 10¹ variables