Local Level Lab

Airborne measurements. Open methods.

Can the same observations allow different predictions?

6/6 pairs checked; 1/6 contain different calibrations. 0/6 exceed a width target.

These are generated software cases, not new aircraft findings. Each search uses the original five earlier observations and all original calibration limits. Future observations are excluded. The results are sampled spreads, not outer uncertainty bounds or global optima.

Candidate Removal Lower sampled N / E / height spread, m Outcome
Globe, specified field None 0.000 / 0.000 / 0.000 Same starting calibration
Globe, specified field Profiled 0.000 / 0.000 / 0.000 Same starting calibration
Globe, zero field None 0.000 / 0.000 / 0.000 Same starting calibration
Globe, zero field Profiled 0.000 / 0.000 / 0.000 Same starting calibration
Flat disc None 0.000 / 0.000 / 0.000 Same starting calibration
Flat disc Profiled 3.698 / 1.196 / 0.007 No target violation found

In 5/6 cases, both directions returned the same starting calibration. A zero displayed spread there means the search found no alternative; it is not zero uncertainty. Earlier accepted probes remain valid.

Displayed values are rounded; target comparisons use exact fractions. The lower spreads subtract the supplied 0.00001 m per-coordinate numerical-error allowance from both predictions. This allowance is a test assumption, not a qualified whole-program error bound. A physical impossibility claim needs that additional qualification. Finding no large spread proves neither uniqueness nor useful prediction ranges.

Search Native batches Training-compatible proposals Stopping reason
witness-0-0-negative 33 1/32 native budget exhausted
witness-0-0-positive 33 1/32 native budget exhausted
witness-0-1-negative 33 1/32 native budget exhausted
witness-0-1-positive 33 1/32 native budget exhausted
witness-1-0-negative 33 1/32 native budget exhausted
witness-1-0-positive 33 1/32 native budget exhausted
witness-1-1-negative 33 1/32 native budget exhausted
witness-1-1-positive 33 1/32 native budget exhausted
witness-2-0-negative 33 1/32 native budget exhausted
witness-2-0-positive 33 1/32 native budget exhausted
witness-2-1-negative 33 2/32 native budget exhausted
witness-2-1-positive 33 1/32 native budget exhausted

The initial batched values and Jacobians match the saved parent in 12/12 searches. The first proposed moves predicted training errors of 1.43–67.20 m even in the local linear calculation; their actual errors were 393.64–1740.07 m. 12/12 linear predictions and 12/12 actual outputs exceed the 1 m training limit. The next method needs controlled, training-compatible steps before another full-history search.

All 12/12 saved outcomes are retained; 396 native batches were charged over 22.39 minutes. An optimizer stopping without success can still supply a checked point; it cannot establish an optimum.

The 53-stretch comparisons are unchanged. Aircraft prediction uncertainty, whole-period coverage and the real observation-error law remain unqualified.

Method and limits · Roadmap · Previous bound comparison.