# Technical Data Extraction: Control Effect Analysis (Layer 1)
This document provides a comprehensive extraction of data and trends from the provided image, which consists of eight line charts and one large heatmap analyzing "Control effect (d)" across various target and affected axes for "layer 1".
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## 1. Component Isolation
The image is divided into two primary sections:
* **Left Section (Line Charts):** Eight individual plots showing the control effect over a range of examples (0 to 250).
* **Right Section (Heatmap):** A summary matrix titled "Control effect (d): layer 1" showing the relationship between "Target axis" and "Affected axis".
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## 2. Line Charts Analysis (Left Section)
### General Metadata for all Line Charts:
* **X-axis:** `# Examples` (Scale: 0, 100, 200).
* **Y-axis:** `Control effect (d)` (Scale: -0.2, 0.0, 0.2).
* **Visual Trend:** In all eight charts, the data series appear as flat horizontal lines centered exactly at $y = 0.0$. There is a grey shaded region (likely a confidence interval or baseline) extending from approximately $-0.28$ to $+0.28$ on the y-axis across the entire x-axis range.
* **Legend:** "Affected axis" (Labels: LR, PC1, PC2, PC4, PC8, PC32, PC128, PC512).
### Individual Chart Details:
| Target Axis | Primary Line (Solid) | Secondary Lines (Dotted) | Observation |
| :--- | :--- | :--- | :--- |
| **LR** | Red (LR) | PC1 through PC512 | All lines overlap at 0.0. |
| **PC1** | Yellow (PC1) | PC2 through PC512 | All lines overlap at 0.0. |
| **PC2** | Light Green (PC2) | PC1, PC4 through PC512 | All lines overlap at 0.0. |
| **PC4** | Medium Green (PC4) | PC1 through PC512 | All lines overlap at 0.0. |
| **PC8** | Teal (PC8) | PC1 through PC512 | All lines overlap at 0.0. |
| **PC32** | Blue-Teal (PC32) | PC1 through PC512 | All lines overlap at 0.0. |
| **PC128** | Dark Purple (PC128) | PC1 through PC512 | All lines overlap at 0.0. |
| **PC512** | Deep Purple (PC512) | PC1 through PC512 | All lines overlap at 0.0. |
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## 3. Heatmap Analysis (Right Section)
**Title:** Control effect (d): layer 1
**X-axis (Affected axis):** LR, PC1, PC2, PC4, PC8, PC32, PC128, PC512
**Y-axis (Target axis):** LR, PC1, PC2, PC4, PC8, PC32, PC128, PC512
**Color Scale:** Diverging (Blue to White to Red). Range: $-5 \times 10^{-5}$ to $+5 \times 10^{-5}$.
### Data Table Reconstruction (Values in $10^{-5}$ units)
The diagonal is highlighted with a thick black border.
| Target \ Affected | LR | PC1 | PC2 | PC4 | PC8 | PC32 | PC128 | PC512 |
| :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| **PC512** | -0.00 | 0.00 | 0.00 | -0.00 | -0.00 | -0.00 | -0.00 | **-0.00** |
| **PC128** | -0.00 | -0.00 | -0.00 | 0.00 | 0.00 | -0.00 | **0.00** | 0.00 |
| **PC32** | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 | **-0.00** | 0.00 | 0.00 |
| **PC8** | -0.00 | 0.00 | -0.00 | -0.00 | **-0.00** | 0.00 | 0.00 | 0.00 |
| **PC4** | 0.00 | 0.00 | -0.00 | **0.00** | -0.00 | 0.00 | 0.00 | 0.00 |
| **PC2** | 0.00 | 0.00 | **0.00** | 0.00 | 0.00 | -0.00 | 0.00 | 0.00 |
| **PC1** | 0.00 | **-0.00** | 0.00 | 0.00 | 0.00 | -0.00 | -0.00 | -0.00 |
| **LR** | **-0.00** | 0.00 | -0.00 | -0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
*Note: While the text labels show "0.00" or "-0.00", the background colors indicate micro-variations within the $10^{-5}$ scale.*
### Key Visual Trends in Heatmap:
1. **Diagonal Trend:** The diagonal (Target = Affected) generally shows neutral (white) or very slightly negative (light blue) values, except for the LR/LR cell which is light blue.
2. **Significant Outliers (Color-based):**
* **Strong Positive (Red):** Target LR / Affected PC1 shows the most intense red saturation. Target PC4 / Affected PC512 and Target PC128 / Affected PC32 also show significant red saturation.
* **Strong Negative (Blue):** Target PC512 / Affected PC512 (far top right) and Target PC1 / Affected PC512 (bottom right) show deep blue saturation.
3. **Symmetry:** The matrix is not perfectly symmetrical, indicating directional influence between the target and affected axes.
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## 4. Summary of Findings
The line charts suggest that at a macro scale (y-axis range of $\pm 0.2$), there is no observable control effect across any axes as the number of examples increases. However, the heatmap reveals that at a microscopic scale ($10^{-5}$), there are specific interactions between axes, particularly involving PC512 and PC1 as affected axes.
