Coordinates, Covariances, Transforms, and Residuals

This section covers the full coordinate-analysis stack in adam_core:

  • coordinate representations

  • covariance modeling and uncertainty propagation

  • frame/origin/representation transforms

  • residual and chi-square diagnostics

  • variant sampling and collapse patterns

Why This Ordering Works

  • You define state representation first.

  • You attach/propagate uncertainty second.

  • You normalize state geometry and frame conventions third.

  • You score fit quality fourth.

  • You scale uncertainty propagation to ensemble operations last.