## Line Chart: Hits@10 Values vs Training Epochs ### Overview The chart compares three optimization methods (Proportional, FOL, Unified) across 46 training epochs, measuring Hits@10 performance in percentage. All three methods show improvement over time, with Unified consistently outperforming the others after ~11 epochs. ### Components/Axes - **X-axis**: Training Epochs (1–46, labeled at intervals of 5) - **Y-axis**: Hits@10 Values (%) (55–80%, labeled in 5% increments) - **Legend**: Located at bottom-right, with: - Purple circles: Proportional - Blue squares: FOL - Red stars: Unified ### Detailed Analysis 1. **Proportional (Purple Circles)** - Starts at ~58% at epoch 1 - Rises steadily to ~79% by epoch 26 - Slight decline to ~78% by epoch 46 - Notable dip between epochs 26–31 (~79% → ~78%) 2. **FOL (Blue Squares)** - Begins at ~59% at epoch 1 - Gradual ascent to ~75% by epoch 21 - Stabilizes between 75–76% from epochs 26–46 - Minor fluctuation: ~75% → ~76% → ~75% → ~76% 3. **Unified (Red Stars)** - Starts lowest at ~57% at epoch 1 - Sharp rise to ~74% by epoch 11 - Peaks at ~79% by epoch 26 - Maintains ~79–80% from epochs 26–46 - Final value: ~80% at epoch 46 ### Key Observations - **Unified** achieves highest performance by epoch 11 and maintains lead - **Proportional** shows fastest initial growth but plateaus earlier - **FOL** demonstrates slowest improvement but stabilizes at mid-range performance - All methods converge near 75–80% by epoch 36, with Unified sustaining highest values ### Interpretation The data suggests Unified optimization is most effective for this task, achieving 80% Hits@10 by final epoch. Proportional's early dominance followed by slight decline may indicate overfitting or parameter sensitivity. FOL's gradual improvement suggests robustness but lower ceiling performance. The convergence near 75–80% implies diminishing returns after ~36 epochs for all methods. Unified's sustained lead highlights its architectural or algorithmic advantages in this context.