Finite-Probe Total-Variation Certificates for Finite-Basis Drifting Models
Drifting objectives compare a target and model distribution through a vector field observed noisily at finitely many locations. We ask what distributional conclusion such a frozen measurement system warrants. For integrable antisymmetric interactions and absolutely continuous laws in a declared finite density basis, the unnormalized sampled numerator satisfies $\operatorname{vec}(V_X)=Mc$, where $c$ is an antisymmetric mismatch and $M$ is probe-dependent. This identity yields an a posteriori total-variation (TV) upper confidence bound accounting for held-out field noise, estimated-operator error, and externally validated $L^1$ residual radii around normalized density approximants in the s...
| Authors | Sam Andersson, Ricky Molén |
|---|---|
| Primary category | stat.ML |
| Published | 3 August 2026 |
| Last updated at source | 3 August 2026 |
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