When Unpaired Sets Support Shared-Corruption Calibration: Moment Geometry and Two-Sample Precision
Collections of diverse observations often share one acquisition, processing, geometric, or channel corruption, while only an unpaired clean reference set is available. For a prescribed low-dimensional correction shared across observations, the observed and clean reference sets support inference only through the response of fixed moments. We formulate this problem as two-sample moment calibration and report a rank-aware information state combining local rank, scaled moment sensitivity, source-separated covariance, and a moment compatibility residual. Full rank gives local moment identifiability, whereas kernel directions remain unresolved to first order. A unified linearization separates o...
| Authors | Shuheng Cao, Zhenhao Zhang, Ruiqi Chen et al. |
|---|---|
| Primary category | stat.ME |
| Published | 11 August 2026 |
| Last updated at source | 11 August 2026 |
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