## Chart: Validation Score vs. Training Step for AIME24 Benchmark
### Overview
The image is a line chart comparing the validation scores of two models, GRPO and MEL, over training steps for the AIME24 benchmark. The x-axis represents the training step, and the y-axis represents the validation score.
### Components/Axes
* **Title:** Benchmark: AIME24
* **X-axis:** Training Step, with markers at 0, 20, 40, 60, 80, 100, 120, and 140.
* **Y-axis:** Validation Score, ranging from 0.075 to 0.225, with markers at intervals of 0.025.
* **Legend:** Located in the bottom-right corner.
* Blue line: GRPO
* Pink line: MEL
### Detailed Analysis
* **GRPO (Blue):**
* Starts at approximately 0.135 at step 0.
* Increases to approximately 0.165 by step 20.
* Decreases to approximately 0.135 by step 40.
* Increases to approximately 0.165 by step 40.
* Decreases to approximately 0.100 by step 60.
* Increases to approximately 0.165 by step 80.
* Remains at approximately 0.165 by step 100.
* Remains at approximately 0.165 by step 120.
* Increases to approximately 0.165 by step 140.
* **MEL (Pink):**
* Starts at approximately 0.135 at step 0.
* Decreases to approximately 0.070 by step 20.
* Increases to approximately 0.135 by step 40.
* Decreases to approximately 0.100 by step 60.
* Increases to approximately 0.200 by step 80.
* Increases to approximately 0.230 by step 100.
* Decreases to approximately 0.165 by step 120.
* Increases to approximately 0.200 by step 140.
### Key Observations
* GRPO shows a more stable validation score compared to MEL.
* MEL has a higher peak validation score around step 100, but also exhibits more fluctuation.
* Both models start at approximately the same validation score.
### Interpretation
The chart compares the performance of two models, GRPO and MEL, on the AIME24 benchmark. GRPO demonstrates more consistent performance across training steps, while MEL shows higher potential but also greater instability. The choice between the two models would depend on the specific requirements of the application, with GRPO being preferable if stability is paramount and MEL being considered if the potential for higher performance outweighs the risk of fluctuation.