VERIFICATION_V09.md

Streaming Polyphase Factor Decomposition / SKAT

VERIFICATION_V09.md

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v0.9 verification

Cumulative regression tests

Realistic simulation battery

Historical correction

The historical copy-LD simulator used np.empty followed by +=. v0.9 repairs this with zero initialization. Previous copy-LD benchmark numbers are not authoritative validation.

Boundary

Gaussian SKAT-style quadratic forms under synthetic rare-variant LD models are validated here. External cohort replication, finite-sample logistic calibration, and native-GPU performance remain separate.

Numerical warning boundary

Deepest adaptive queries emitted overflow warnings in an intermediate rejected certificate-growth calculation. Accepted results had finite certificates and matched the full-spectrum reference. This is not a demonstrated accuracy failure, but the internal bound arithmetic should be made log-domain in a future hardening pass.

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