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## Line Chart: Test Accuracy vs. Communication Round
### Overview
This line chart depicts the test accuracy of two federated learning protocols, FedProto and FedMRL, as a function of the communication round. The chart is titled "N=100, CIFAR-100", indicating the dataset and potentially the number of clients involved.
### Components/Axes
* **X-axis:** Communication Round (ranging from 0 to approximately 450, with markers at 0, 100, 200, 300, 400, and 450).
* **Y-axis:** Test Accuracy (ranging from 0 to 60, with markers at 0, 20, 40, and 60).
* **Data Series 1:** FedProto (represented by a light-green dashed line with circular markers).
* **Data Series 2:** FedMRL (represented by a purple dashed line with star-shaped markers).
* **Legend:** Located in the bottom-right corner, clearly labeling each data series with its corresponding color and marker.
* **Title:** "N=100, CIFAR-100" positioned at the top-center of the chart.
### Detailed Analysis
**FedProto (Light-Green, Circles):**
The FedProto line starts at approximately 10 at a communication round of 0. It increases rapidly to around 40 at a communication round of 100. The line continues to increase, but at a decreasing rate, reaching approximately 48 at a communication round of 400. It plateaus around 48-50 for the remainder of the observed rounds.
* Round 0: ~10
* Round 100: ~40
* Round 200: ~44
* Round 300: ~46
* Round 400: ~48
* Round 450: ~48
**FedMRL (Purple, Stars):**
The FedMRL line also starts at approximately 10 at a communication round of 0. It exhibits a steeper initial increase than FedProto, reaching approximately 50 at a communication round of 100. The line continues to climb, reaching a peak of approximately 58 at a communication round of 300. It then slightly decreases to around 57 at a communication round of 450.
* Round 0: ~10
* Round 100: ~50
* Round 200: ~54
* Round 300: ~58
* Round 400: ~57
* Round 450: ~57
### Key Observations
* FedMRL consistently outperforms FedProto across all communication rounds.
* Both protocols exhibit diminishing returns in accuracy as the number of communication rounds increases.
* FedMRL reaches its peak accuracy around round 300 and then slightly declines, while FedProto plateaus.
### Interpretation
The chart demonstrates the performance of two federated learning protocols, FedProto and FedMRL, on the CIFAR-100 dataset with N=100 clients. FedMRL achieves higher test accuracy than FedProto, suggesting it is a more effective protocol for this specific scenario. The diminishing returns observed in both protocols indicate that there is a limit to the improvement achievable through further communication rounds. The slight decline in FedMRL's accuracy after round 300 could be due to overfitting or other factors related to the training process. The initial steep increase in both lines suggests rapid learning in the early stages of training. The difference in the learning curves suggests that FedMRL is able to converge to a better solution, or is less prone to overfitting. The fact that both start at the same accuracy suggests they have similar initial conditions.