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Under 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

We tested the smallest set of cone voltages that preserves S-only signal detection in one archived human foveal graph. The static passive model kept 333 named units and all 1,141 contact rows. It used slow independent Gaussian input noise and no added readout noise. For every positive finite coupling, the unique optimal voltage weights had support on 16 labelled S cones and their 56 direct LM neighbors. A proof showed that all 72 outputs were necessary and sufficient for the full one-sample squared detection score. At the primary coupling-to-leak ratio of 0.0545456 per weight unit, the S outputs alone retained 99.2662% of that score. This reproduces an earlier SCI result. A greedy 48-output panel retained 99.9023%; its size is feasible, not a proven minimum. With a common input-noise fraction of 0.01, the 72-output panel retained 94.8862% of the full-network score. For any positive common fraction below one, all 333 outputs were required for exact recovery under the tested common-noise model. Assigning two uncertain labels to S changed the independent-noise exact panel size to 76, 78 or 81. Independent source readers, current equations, output-deletion identities, synthetic graphs and a fresh run checked the calculations. The contribution is an exact observation rule and its test in one released graph. It does not establish a biological readout or human visual performance. The package preserves the source table, code, proof, provenance, all results, figures and offline repeat instructions.

connectome · electrical coupling · cone photoreceptor · sensory coding · noise covariance · observation design

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References

8
  1. 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 independent slow-noise S-panel score. We extend the analysis to the smallest exact coordinate panel and common input noise.

  2. 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 verified source table, identity convention, source records and MIT source-check helper. We rebuild the graph independently and check the original archive.

  3. usesdoi:10.5281/zenodo.17792059

    The fixed v1 archive supplies the unchanged human foveal electrical contact table under CC BY 4.0.

  4. doi:10.1101/2025.04.05.647403

    Earlier account of the human foveal reconstruction and electrical cone model.

  5. doi:10.1073/pnas.2603286123

    Final human foveal connectome article. The model table used here predates this version.

  6. doi:10.1098/rspb.1988.0043

    Established signal-and-noise framework for photoreceptor coupling and downstream readout.

  7. doi:10.1364/JOSAA.17.000635

    Prior model analysis of chromatic costs and signal dependence in cone coupling.

  8. doi:10.1016/S0960-9822(02)01261-7

    Prior physiological and model study of electrical cone coupling and noise reduction.

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