# Technical Document Extraction: AIME-25 Diversity Analysis ## 1. Document Header Information * **Title:** AIME-25, fixed aggregation size $K=4$ * **Primary Language:** English * **Content Type:** Line Graph with markers ## 2. Chart Components and Metadata ### Axis Definitions * **Y-Axis (Vertical):** * **Label:** Diversity * **Scale:** Linear, ranging from 0.000 to 0.025. * **Major Tick Marks:** 0.005, 0.010, 0.015, 0.020, 0.025. * **X-Axis (Horizontal):** * **Label:** RSA Step * **Scale:** Discrete integer steps. * **Major Tick Marks:** 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. ### Legend Information * **Location:** Top-right quadrant of the chart area. * **Series 1:** Blue line with circular markers ($\bullet$) labeled **N=4**. * **Series 2:** Gold/Orange line with square markers ($\blacksquare$) labeled **N=8**. * **Series 3:** Teal/Green line with triangular markers ($\blacktriangle$) labeled **N=16**. --- ## 3. Data Series Analysis and Trends ### General Observations All three data series follow a similar morphological pattern: 1. **Initial Spike:** A sharp increase from Step 1 to Step 2. 2. **Sharp Decline:** A significant drop from Step 2 to Step 3. 3. **Convergence:** A gradual stabilization and convergence toward a low diversity value (approx. 0.002 - 0.003) as the RSA Step increases toward 10. ### Series-Specific Trends #### Series N=4 (Blue, Circles) * **Trend:** This series shows the lowest peak at Step 2 and exhibits more fluctuation in the mid-range (Steps 4-6) compared to the others. It ends with the lowest diversity value at Step 10. * **Key Points:** Starts at ~0.007, peaks at ~0.012 (Step 2), drops to ~0.006 (Step 3), fluctuates, and settles at ~0.002 (Step 10). #### Series N=8 (Gold, Squares) * **Trend:** This series reaches the highest peak of all three groups at Step 2. After Step 3, it follows a very steady, smooth decline. * **Key Points:** Starts at ~0.006, reaches the maximum chart peak at ~0.024 (Step 2), drops to ~0.007 (Step 3), and settles at ~0.0025 (Step 10). #### Series N=16 (Teal, Triangles) * **Trend:** This series has the second-highest peak at Step 2. From Step 4 onwards, it maintains the highest diversity relative to the other two series, showing the most "resistance" to the decline. * **Key Points:** Starts at ~0.006, peaks at ~0.019 (Step 2), drops to ~0.007 (Step 3), and settles at ~0.003 (Step 10). --- ## 4. Reconstructed Data Table (Estimated Values) | RSA Step | N=4 (Blue $\bullet$) | N=8 (Gold $\blacksquare$) | N=16 (Teal $\blacktriangle$) | | :--- | :--- | :--- | :--- | | **1** | 0.0070 | 0.0065 | 0.0065 | | **2** | 0.0118 | 0.0242 | 0.0190 | | **3** | 0.0062 | 0.0068 | 0.0072 | | **4** | 0.0038 | 0.0052 | 0.0062 | | **5** | 0.0050 | 0.0038 | 0.0042 | | **6** | 0.0035 | 0.0038 | 0.0038 | | **7** | 0.0020 | 0.0030 | 0.0032 | | **8** | 0.0018 | 0.0028 | 0.0030 | | **9** | 0.0018 | 0.0025 | 0.0025 | | **10** | 0.0018 | 0.0022 | 0.0028 | --- ## 5. Component Isolation Summary * **Header:** Contains the experiment name (AIME-25) and the constant parameter ($K=4$). * **Main Chart:** Displays the relationship between RSA Steps and Diversity across three different $N$ values. The most significant data event is the "Step 2 Spike," where diversity correlates positively with $N$ up to $N=8$, but $N=16$ shows a lower peak than $N=8$. * **Footer/Axes:** Provides the categorical steps (1-10) and the quantitative measure of diversity (0-0.025).

# Technical Document Extraction: AIME-25 Diversity Analysis ## Chart Overview **Title**: AIME-25, fixed aggregation size K=4 **Type**: Line chart with markers **Purpose**: Visualizes diversity metrics across RSA steps for different population sizes (N=4, N=8, N=16). --- ## Axis Labels and Scales - **X-axis**: - Label: "RSA Step" - Range: 1 to 10 (integer increments) - Ticks: 1, 2, 3, ..., 10 - **Y-axis**: - Label: "Diversity" - Range: 0.005 to 0.025 - Increment: 0.005 --- ## Legend - **Location**: Upper-right corner - **Entries**: 1. **Blue circles**: N=4 2. **Orange squares**: N=8 3. **Green triangles**: N=16 --- ## Data Series Analysis ### N=4 (Blue Circles) - **Trend**: - Starts at ~0.006 (step 1). - Peaks at **0.012** (step 2). - Declines steadily to ~0.002 (step 10). - **Key Points**: - Step 1: 0.006 - Step 2: 0.012 - Step 3: 0.006 - Step 4: 0.004 - Step 5: 0.005 - Step 6: 0.004 - Step 7: 0.003 - Step 8: 0.003 - Step 9: 0.003 - Step 10: 0.002 ### N=8 (Orange Squares) - **Trend**: - Starts at ~0.006 (step 1). - Peaks sharply at **0.025** (step 2). - Drops rapidly to ~0.003 (step 10). - **Key Points**: - Step 1: 0.006 - Step 2: 0.025 - Step 3: 0.007 - Step 4: 0.006 - Step 5: 0.004 - Step 6: 0.004 - Step 7: 0.003 - Step 8: 0.003 - Step 9: 0.003 - Step 10: 0.003 ### N=16 (Green Triangles) - **Trend**: - Starts at ~0.006 (step 1). - Peaks at **0.020** (step 2). - Declines gradually to ~0.003 (step 10). - **Key Points**: - Step 1: 0.006 - Step 2: 0.020 - Step 3: 0.007 - Step 4: 0.006 - Step 5: 0.005 - Step 6: 0.004 - Step 7: 0.004 - Step 8: 0.003 - Step 9: 0.003 - Step 10: 0.003 --- ## Cross-Series Observations 1. **Peak at Step 2**: - All series peak at RSA step 2, with N=8 showing the highest diversity (0.025). 2. **Post-Peak Divergence**: - N=8 declines most sharply after step 2. - N=16 maintains higher diversity than N=4 after step 2. 3. **Convergence**: - By step 10, all series converge to ~0.003 diversity. --- ## Spatial Grounding - **Legend Position**: Upper-right corner (coordinates: [x=0.85, y=0.85] relative to chart bounds). - **Color-Symbol Consistency**: - Blue circles (N=4) match all blue data points. - Orange squares (N=8) match all orange data points. - Green triangles (N=16) match all green data points. --- ## Final Notes - **Language**: All text is in English. - **Data Completeness**: All axis labels, legends, and data points are explicitly labeled. - **No Missing Information**: No unreadable text or omitted labels.