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name: architecture_curvature_comparison description: Compares curvature metrics across architecture-style variants and records qualitative sharper/flatter conclusions.

Architecture Curvature Comparison

Use this skill when a recovery or analysis task needs the PyHessian paper component described by this module. Do not use it to read or depend on the original PyHessian repository during recovery; the scripts are self-contained reduced implementations or contract checkers.

Inputs

• Curvature summaries for baseline and ablated variants
• Variant metadata describing residual or normalization changes

Outputs

• Ranked curvature comparison
• Mechanism checks for top eigenvalue, trace, ESD range, and qualitative direction

Workflow

1. Confirm that the requested experiment matches this module contract.
2. Use the script in scripts/compare_curvature.py for deterministic checks or as reference logic.
3. Preserve the paper mechanism: The paper’s scientific use case is not merely computing Hessians, but comparing BN and residual ablations by curvature diagnostics.
4. Write numeric evidence and avoid qualitative-only conclusions.
5. In recovery, record whether this skill was called, imported, or cross-checked.

Validation

Run python through the Distiller skill-tree validator with --run-tests, or run the test file in tests/ with the repository-independent Python path pointing at this skill's scripts/ directory.

Limitations

This generated skill captures reusable mechanism semantics. It is not a drop-in replacement for the original PyTorch package and does not authorize recovery to read the original repository.