## Heatmap: Cognitive Task Processing Across Neural Layers and Heads ### Overview The image displays a matrix of 8 heatmaps arranged in two rows (4 top, 4 bottom), each representing neural activity patterns for different cognitive tasks. The heatmaps visualize the importance of specific "heads" (neurons) across "layers" (depth) in processing tasks like knowledge recall, logical reasoning, and math calculation. Color intensity indicates head importance, with yellow representing highest values (0.0020+) and purple the lowest (0.0000). ### Components/Axes - **X-axis (Horizontal)**: "Head" (0-30), incrementing by 6 - **Y-axis (Vertical)**: "Layer" (0-42), incrementing by 6 - **Legend**: Right-aligned colorbar (purple→yellow) labeled "Heads Importance" - **Panel Titles**: - Top row: Knowledge Recall, Retrieval, Logical Reasoning, Decision-making - Bottom row: Semantic Understanding, Syntactic Understanding, Inference, Math Calculation ### Detailed Analysis 1. **Knowledge Recall** (Top-left) - Yellow spots concentrated in layers 12-18 and heads 6-12 - Gradual transition to green in layers 24-30 2. **Retrieval** (Top-center-left) - Yellow clusters in layers 18-24 and heads 12-18 - Green dominance in upper layers (30-42) 3. **Logical Reasoning** (Top-center-right) - Yellow in layers 18-24 and heads 12-18 - Green in layers 24-30 across heads 6-24 4. **Decision-making** (Top-right) - Yellow in layers 24-30 and heads 18-24 - Green in layers 18-24 across heads 12-24 5. **Semantic Understanding** (Bottom-left) - Yellow in layers 12-18 and heads 6-12 - Green in layers 24-30 across heads 0-30 6. **Syntactic Understanding** (Bottom-center-left) - Yellow in layers 18-24 and heads 12-18 - Green in layers 24-30 across heads 6-24 7. **Inference** (Bottom-center-right) - Yellow in layers 24-30 and heads 18-24 - Green in layers 18-24 across heads 12-24 8. **Math Calculation** (Bottom-right) - Yellow in layers 24-30 and heads 18-24 - Green in layers 18-24 across heads 12-24 ### Key Observations - **Layer Specialization**: Higher layers (24-30) show increased importance for complex tasks (logical reasoning, math calculation) - **Head Activation Patterns**: - Heads 12-18 dominate in middle layers (18-24) - Heads 18-24 activate in upper layers (24-30) - **Task-Specific Patterns**: - Math Calculation and Logical Reasoning show strongest yellow in upper-right quadrant - Knowledge Recall shows distributed activity across middle layers - **Color Consistency**: All yellow regions align with legend's 0.0020+ threshold ### Interpretation The heatmaps reveal a clear hierarchical processing structure: 1. **Lower Layers (0-12)**: Primarily handle basic knowledge recall and semantic understanding 2. **Middle Layers (12-24)**: Specialized for syntactic processing and intermediate reasoning 3. **Upper Layers (24-30)**: Critical for complex tasks requiring integration (logical reasoning, math calculation) Notable anomalies include the strong yellow concentration in layers 18-24 for Retrieval and Syntactic Understanding, suggesting these tasks require distributed processing across multiple heads. The consistent yellow in upper layers for Math Calculation implies specialized neural circuitry for numerical processing. The spatial distribution patterns indicate that cognitive tasks are processed through distinct but interconnected neural pathways, with higher layers showing increased specialization for complex cognitive functions. This aligns with theories of neural network architecture where deeper layers handle abstract representations.