FA-12058 / Sensor fusion consistency / Member archive

Correlated estimates lose shared uncertainty during fusion · case 03

Reported fused uncertainty is smaller than the shared sensor noise.

Member previewVariant 3 · 3 implementations · 6 checks per implementation

Case contract

Given positive p,r and cross covariance c with c*c<p*r and p+r-2*c>0, return exact variance of the minimum-variance unbiased linear combination as a fraction string.

Why this case matters

Deterministic sensor-fusion model isolating one consistency contract; no hardware or production estimator is simulated.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
positive shared noise	`"3"`	`"9/2"`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.