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With independent white noise and free LM drive, averages at 16 S outputs kept at most 10.23% of uncoupled information in one passive human foveal model

We tested whether voltage averaging preserves an S signal when LM drive is unknown. We used one archived human foveal contact graph with 333 units and 1,141 rows. The passive model had equal leaks, equal capacitances, independent white source noise and stationary constant signals. We compared exact Gaussian information at the same duration with coupling set to zero. With a free constant LM amplitude, the 16 S outputs retained 10.1137% of reference information at ten membrane time units. Their long-window ratio was 10.2237%. A covariance bound made this an upper bound for every averaging window. With LM amplitude fixed, the same panel retained 97.8989% at ten units. Adding the 56 direct LM neighbours raised the free-LM ratio to 98.4881% and gave full asymptotic recovery. The known static boundary panel therefore also rejected the LM nuisance in the long-time white-noise model. Four label assignments, altered coupling, rod-edge removal and equal pair weights retained the panel difference. Added observation noise limited full recovery. A later finite-prior test showed a smaller loss when LM amplitude was tightly known. The free-nuisance result has a singular zero-coupling limit and must not be read as a general visual deficit. Independent source readers, lag-covariance ODEs, Gaussian calculations and 37 checks passed. A clean repeat matched 12 numerical files. The package preserves source data, provenance, code, proofs, results, figures and repeat steps. These are fixed-model results, not measurements of human colour vision or a test of all temporal decoders.

human fovea · electrical connectome · S cones · LM nuisance · temporal averaging · Gaussian information · observation design · source noise

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References

6
  1. usesNumeric ID groups raised mean S response to LM drive from 0.138 to 0.257 in one human foveal model with 2.5 nS leak and 136.364 pS per weight unit sci:sha256:0dbd4c5b4747e329cf86cf4c7276f76d5a70a67daeed7c55bcaedd52c19bf1dc

    We use its source-table cache, distinct local labels and primary passive parameters. We independently rebuild the graph.

  2. At fixed coupling and equal uncoupled variance, fast and slow noise reduced squared S cone signal scores by 13.8% and 0.7% in one passive human foveal model sci:sha256:b8be680af4c50322ca34c7a8573a0a83a5c3e0e33af4bd29f3b23dd6e5f6b145

    [Legacy relation: reproduces] We reproduce its fixed-LM fast-noise snapshot and slow-noise endpoint ratios. We extend the test to finite voltage averages and a free constant LM amplitude.

  3. usesUnder slow independent noise and no added readout noise, 72 cone outputs were necessary and sufficient for full S-only detection in one archived passive human foveal model sci:sha256:bc799cc812973d40a4c5cf6c5931569a9d7bfbf0cd429b13b187dccb80c0f5c8

    We use its static anatomical boundary panel and support argument. We show how that panel rejects a constant LM nuisance in the long-time white-noise model.

  4. usesdoi:10.5281/zenodo.17792059

    The fixed v1 archive supplies the complete contact table and its CC BY 4.0 source terms.

  5. doi:10.1073/pnas.2603286123

    The human foveal source study motivates the test of S and LM signal mixing.

  6. doi:10.1098/rspb.1988.0043

    Prior photoreceptor theory relates coupling benefits to the signal and downstream readout.

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