## Line Chart: Performance vs. Max Rollout ### Overview This image presents a line chart comparing the performance of five different algorithms ("Ours", "SRA-MCTS", "SRA-MCTS_no_eg", "LDB", and "ToT") across varying "Max Rollout" values, ranging from 1 to 10. The performance is measured in percentage (%). ### Components/Axes * **X-axis:** "Max Rollout" - Scale ranges from 1 to 10, with increments of 1. * **Y-axis:** "Performance (%)" - Scale ranges from 30 to 70, with increments of 5. * **Legend:** Located in the top-left corner, identifying each line with a corresponding color: * "Ours" - Green * "SRA-MCTS" - Magenta * "SRA-MCTS_no_eg" - Blue * "LDB" - Orange * "ToT" - Brown ### Detailed Analysis Here's a breakdown of each line's trend and approximate data points, verified against the legend colors: * **Ours (Green):** The line generally slopes upward, with some fluctuations. * Rollout 1: ~53% * Rollout 2: ~56% * Rollout 3: ~59% * Rollout 4: ~61% * Rollout 5: ~62% * Rollout 6: ~61% * Rollout 7: ~60% * Rollout 8: ~59% * Rollout 9: ~60% * Rollout 10: ~60% * **SRA-MCTS (Magenta):** The line shows a decreasing trend initially, then plateaus. * Rollout 1: ~37% * Rollout 2: ~41% * Rollout 3: ~44% * Rollout 4: ~44% * Rollout 5: ~45% * Rollout 6: ~44% * Rollout 7: ~44% * Rollout 8: ~44% * Rollout 9: ~44% * Rollout 10: ~44% * **SRA-MCTS_no_eg (Blue):** The line increases initially, then fluctuates around a relatively stable level. * Rollout 1: ~40% * Rollout 2: ~43% * Rollout 3: ~46% * Rollout 4: ~48% * Rollout 5: ~50% * Rollout 6: ~50% * Rollout 7: ~49% * Rollout 8: ~49% * Rollout 9: ~49% * Rollout 10: ~49% * **LDB (Orange):** The line shows a generally increasing trend. * Rollout 1: ~42% * Rollout 2: ~46% * Rollout 3: ~52% * Rollout 4: ~54% * Rollout 5: ~56% * Rollout 6: ~56% * Rollout 7: ~56% * Rollout 8: ~57% * Rollout 9: ~57% * Rollout 10: ~57% * **ToT (Brown):** The line fluctuates with a slight upward trend. * Rollout 1: ~39% * Rollout 2: ~41% * Rollout 3: ~43% * Rollout 4: ~43% * Rollout 5: ~44% * Rollout 6: ~44% * Rollout 7: ~45% * Rollout 8: ~45% * Rollout 9: ~46% * Rollout 10: ~46% ### Key Observations * "Ours" consistently outperforms all other algorithms across all "Max Rollout" values. * "SRA-MCTS" exhibits the lowest performance and remains relatively stable after Rollout 3. * "LDB" shows a steady improvement in performance as "Max Rollout" increases. * "SRA-MCTS_no_eg" and "ToT" have similar performance levels, with "SRA-MCTS_no_eg" slightly higher. * The performance gains from increasing "Max Rollout" diminish for all algorithms beyond a certain point (around Rollout 6-7). ### Interpretation The chart demonstrates the effectiveness of the "Ours" algorithm compared to the other four algorithms ("SRA-MCTS", "SRA-MCTS_no_eg", "LDB", and "ToT") in terms of performance. The "Max Rollout" parameter appears to have a positive impact on performance for most algorithms, but the rate of improvement decreases as the value increases. The relatively low and stable performance of "SRA-MCTS" suggests that it may not be as effective as the other algorithms, potentially due to the inclusion of a component ("eg") that hinders its performance. The comparison between "SRA-MCTS" and "SRA-MCTS_no_eg" highlights the impact of this component. The chart suggests that there is a trade-off between computational cost (represented by "Max Rollout") and performance, and that finding the optimal "Max Rollout" value is crucial for maximizing performance. The data suggests that the "Ours" algorithm is robust to changes in "Max Rollout" and consistently delivers high performance.