# Technical Data Extraction: Control Effect Analysis
This document provides a comprehensive extraction of the data and trends presented in the provided image, which consists of two side-by-side line charts comparing "Explicit control" and "Implicit control" across different layers of a neural network.
## 1. General Metadata
* **Image Type:** Comparative line charts with shaded error regions (confidence intervals).
* **Primary Language:** English.
* **X-Axis (Common):** "Layer" (Numerical markers: 1, 7, 14, 21, 28).
* **Y-Axis (Common):** "Control effect (d)" (Note: The scale differs between the two charts).
* **Legend (Common):** Located in the top-left quadrant of each plot.
* **Red Line:** LR
* **Blue Line:** Early PCs
* **Green Line:** Late PCs
---
## 2. Chart 1: Explicit Control
### Component Isolation
* **Header:** "Explicit control"
* **Y-Axis Scale:** 0 to 6 (increments of 2).
### Trend Verification & Data Extraction
1. **LR (Red Line):**
* **Trend:** Strong, consistent upward slope across all layers.
* **Approximate Values:** Starts at ~1.8 (Layer 1), rises to ~3.5 (Layer 14), and peaks at ~5.8 (Layer 28).
2. **Early PCs (Blue Line):**
* **Trend:** Moderate upward slope, plateauing slightly after Layer 21.
* **Approximate Values:** Starts at ~0.5 (Layer 1), rises to ~1.5 (Layer 14), and levels off at ~1.8 (Layer 21-28).
3. **Late PCs (Green Line):**
* **Trend:** Near-zero/Flat. Shows very little response to layer depth.
* **Approximate Values:** Remains consistently near 0.0 across all layers (1 through 28).
---
## 3. Chart 2: Implicit Control
### Component Isolation
* **Header:** "Implicit control"
* **Y-Axis Scale:** 0 to 1 (increments of 1). Note: The magnitude is significantly lower than Explicit control.
### Trend Verification & Data Extraction
1. **LR (Red Line):**
* **Trend:** Flat at zero until Layer 14, followed by a sharp exponential-like increase.
* **Approximate Values:** 0.0 (Layers 1-14), rises to ~0.5 (Layer 21), and ends at ~1.6 (Layer 28).
2. **Early PCs (Blue Line):**
* **Trend:** Flat at zero until Layer 14, followed by a slight upward slope.
* **Approximate Values:** 0.0 (Layers 1-14), rises to ~0.25 (Layer 21), and ends at ~0.35 (Layer 28).
3. **Late PCs (Green Line):**
* **Trend:** Flat. No significant change across the layers.
* **Approximate Values:** Remains at 0.0 for the duration of the x-axis.
---
## 4. Comparative Summary Table
| Control Type | Series | Layer 1 Value | Layer 14 Value | Layer 28 Value | Overall Trend |
| :--- | :--- | :--- | :--- | :--- | :--- |
| **Explicit** | LR (Red) | ~1.8 | ~3.5 | ~5.8 | Continuous Increase |
| **Explicit** | Early PCs (Blue) | ~0.5 | ~1.5 | ~1.8 | Moderate Increase |
| **Explicit** | Late PCs (Green) | ~0.0 | ~0.0 | ~0.0 | Flat/No Effect |
| **Implicit** | LR (Red) | 0.0 | 0.0 | ~1.6 | Late-stage Surge |
| **Implicit** | Early PCs (Blue) | 0.0 | 0.0 | ~0.35 | Late-stage Slight Rise |
| **Implicit** | Late PCs (Green) | 0.0 | 0.0 | 0.0 | No Effect |
## 5. Key Observations
* **Magnitude Difference:** The "Explicit control" effect is roughly 4x stronger than the "Implicit control" effect at the final layer (5.8 vs 1.6 for LR).
* **Activation Threshold:** In "Implicit control," there is a clear "dead zone" where no effect is measured until after Layer 14. In "Explicit control," the effect is present from Layer 1.
* **Component Hierarchy:** In both scenarios, **LR** (Red) is the most dominant factor, followed by **Early PCs** (Blue), while **Late PCs** (Green) consistently show negligible control effects.
