attention rollout in vit

**Attention rollout in ViT** is the **layer-wise aggregation method that composes attention matrices across depth to estimate end-to-end token influence on final predictions** - instead of viewing one layer in isolation, rollout traces how information propagates from input patches to output tokens. **What Is Attention Rollout?** - **Definition**: Recursive multiplication of attention matrices with identity residual terms across transformer layers. - **Core Idea**: Influence accumulates through many blocks, so global attribution must include the full chain. - **Output**: A single influence map showing patch contribution to CLS or target token. - **Scope**: Works for classification and can be adapted to dense token outputs. **Why Attention Rollout Matters** - **Deeper Explainability**: Captures cross-layer pathways missed by single-layer heatmaps. - **Consistency Checks**: Detects if influence remains stable across augmentations and seeds. - **Bias Detection**: Highlights unintended dependencies on background regions. - **Model Comparison**: Enables fair explainability comparison across ViT variants. - **Debugging Efficiency**: Reduces manual review time by summarizing layer dynamics. **How Rollout Is Computed** **Step 1**: - Collect attention matrices A_l from each layer and average or select heads. - Add identity matrix to model residual mixing, then normalize rows. **Step 2**: - Multiply adjusted matrices from shallow to deep layers to obtain cumulative influence matrix. - Extract influence from output token to input patch tokens. **Step 3**: - Reshape influence vector to patch grid and overlay as saliency map. - Validate map behavior against counterfactual image edits. **Implementation Notes** - **Head Aggregation**: Mean aggregation is stable baseline, max can overemphasize outliers. - **Numerical Stability**: Use float32 for matrix products in long depth models. - **Residual Handling**: Identity blending choice strongly affects attribution sharpness. Attention rollout in ViT is **a robust way to summarize multi-layer information flow and patch influence in one interpretable map** - it turns raw attention tensors into actionable explainability signals for model governance.

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