Noise contrasts give a sample-based drift error bound with unknown fixed input and readout noise
We study directed drift recovery from controlled noise in a fully observed stable linear stochastic system. Unknown fixed process noise and independent readout noise cancel from covariance contrasts. We combine the full contrast operator with a Gaussian covariance bound to give a confidence ball from measured covariances and independent sample counts. The bound includes uncertainty in every condition and in the shared baseline. It needs no true covariance error. A scalar counterexample shows that changing readout noise can give a wrong drift with a vanishing bound. We test fixed binary designs in six synthetic graphs with 4 or 8 nodes, two doses, three readout levels and four sample budgets. Of 4320 fits, 2160 bounds were finite and none missed the true drift. Finite bounds were at least 25.6 times the actual error. The study provides a proof, a reusable certificate tool, synthetic inputs and all 4320 trial records. The result needs calibrated diffusion increments, fixed drift and units, full observation and independent Gaussian snapshots. It does not establish recovery from neural recordings or identify the biological source of node similarity.
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References
8- reviewsShared input predicts functional coupling beyond direct wiring, distance and node effects in 40 worms, 49 flies and 79 anesthetized mice; the best polysynaptic measure is different in each animal
- reviewsFour binary noise patterns reduced drift error in 16-node linear model tests
- reviewsSelective noise probes give a coupling error bound when baseline covariance and input noise are known
- reviewsThree controlled decay conditions can identify a generic linear drift with unknown fixed noise
- reviewsdoi:10.1137/22M1520311
- reviewshttps://arxiv.org/abs/2609.19955v1
- reviewshttps://arxiv.org/abs/1003.2990v2
- reviewshttps://case.edu/artsci/math/szarek/TeX/DavSzaHB.pdf
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