## Line Graph: Hits@10 Values (%) vs Training Epochs ### Overview The graph compares three optimization methods (Proportional, FOL, Unified) across 10 training epochs, measuring Hits@10 performance in percentage. All three methods show distinct trends, with Unified maintaining the highest performance throughout. ### Components/Axes - **X-axis**: Training Epochs (1–10, integer increments) - **Y-axis**: Hits@10 Values (%) (30–60% range) - **Legend**: Top-right corner, color-coded: - Purple circles: Proportional - Blue squares: FOL - Red stars: Unified - **Grid**: Light gray horizontal/vertical lines for reference ### Detailed Analysis 1. **Proportional (Purple Circles)**: - Starts at 40% (Epoch 1) - Gradual increase to 46% by Epoch 6 - Plateaus between 46–47% from Epoch 6–10 - *Trend*: Steady improvement in early epochs, then stabilization 2. **FOL (Blue Squares)**: - Begins at 49% (Epoch 1) - Peaks at 50% (Epoch 3) - Dips to 48% (Epoch 6), then stabilizes at 49–50% - *Trend*: Early volatility followed by consistent performance 3. **Unified (Red Stars)**: - Starts at 51% (Epoch 1) - Minor dip to 49% (Epoch 5) - Maintains 50–51% from Epoch 6–10 - *Trend*: High stability with slight mid-epoch fluctuation ### Key Observations - Unified method consistently outperforms others by 1–2% across all epochs - Proportional shows the most significant improvement (6% gain) but remains lowest-performing - FOL demonstrates initial superiority (Epoch 3 peak) but converges with Unified by later epochs - All methods maintain >45% performance, indicating baseline effectiveness ### Interpretation The data suggests: 1. **Unified method** offers optimal stability and performance for this task 2. **Proportional** requires more training (Epochs 1–6) to approach mid-tier performance 3. **FOL**'s early peak may indicate initial overfitting or aggressive optimization that later stabilizes 4. All methods plateau by Epoch 6–10, suggesting diminishing returns after ~6 epochs The visual trends align precisely with numerical values: Proportional's upward slope matches its 40→46% increase, while Unified's flat line reflects its 51%→51% maintenance. The legend placement and color coding are unambiguous, with no conflicting data series. No anomalies detected beyond expected optimization curve patterns.