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---
name: ewc_fisher_importance
description: Estimate and normalize diagonal Fisher importance vectors for Elastic Weight Consolidation from first-order gradients.
---
# EWC Fisher Importance
Use this skill after learning a previous task and before applying an EWC penalty. It converts per-example gradients into a nonnegative diagonal Fisher estimate and can compute normalized Fisher overlap diagnostics.
## Inputs
- Per-example gradient vectors for the previous task.
- Optional Fisher vectors for normalization or overlap.
## Outputs
- Mean squared-gradient Fisher vector.
- Trace-normalized Fisher vector.
- Fisher-overlap score for diagnostics.
## Workflow
1. Collect gradients at or near the previous-task solution.
2. Square every gradient component.
3. Average squared gradients across examples.
4. Normalize by trace only for overlap/comparison diagnostics.
5. Pass the unnormalized Fisher to the EWC penalty.
## Validation
Run:
```bash
python tests/test_fisher_importance.py
```
## Limitations
The helper expects gradient vectors supplied by a model-specific training harness. It does not compute autograd gradients itself.
