---

name: rectified_coupling_interpolation description: Build rectified-flow coupling interpolation records with endpoint displacement targets for velocity regression.

Rectified Coupling Interpolation

Use this skill when a recovery or implementation needs supervised training tuples for rectified flow. Do not use it to fit the velocity model or evaluate transport quality.

Inputs

• Equal-length source samples x0 and target samples x1, each a list of numeric vectors.
• One scalar time per pair in [0, 1].

Outputs

• Records containing x0, x1, t, xt, and target_velocity.
• Validation errors for mismatched counts, dimensions, or invalid times.

Workflow

1. Validate equal sample counts and vector dimensions.
2. Compute xt = (1 - t) * x0 + t * x1 for each pair.
3. Compute target_velocity = x1 - x0.
4. Preserve endpoint provenance for transport-cost diagnostics.

Validation

Run python tests/test_interpolation.py or the Distiller skill-tree validator with --run-tests.

Limitations

This skill prepares the regression dataset only; it does not sample real image data, train a model, or claim recovery success.