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---
name: frechet_gaussian_distance
description: Compute the Fréchet Gaussian distance used by FID with stable numerical handling.
---
# Frechet Gaussian Distance
Use this skill when a recovery or implementation needs the `frechet_distance` module from the TTUR/FID paper without rereading the original repository. Do not use it to claim full GAN reproduction unless real image features, dataset statistics, and training evidence are available.
## Inputs
- Numeric arrays or JSON files matching the module contract.
- For recovery orchestration, a module-plan target and runtime handoff.
## Outputs
- Deterministic JSON-compatible statistics, distances, traces, or recovery checks.
- Diagnostics sufficient to audit reduced/proxy recovery.
## Workflow
1. Validate input shapes and finite numeric values.
2. Execute the module-specific deterministic script in `scripts/`.
3. Preserve diagnostics and command evidence when used in recovery.
4. Treat synthetic activations or toy dynamics as proxy evidence only.
## Validation
Run `python tests/test_frechet_gaussian_distance.py` from this skill directory.
## Limitations
This skill is self-contained and does not require the original TTUR repository. It does not download Inception models or train full GANs.
