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q-bio.NC · Neurons and Cognitionq-bio.QM · Quantitative Methodsstat.ME · Methodology

Exact fourth moments resolve 176 source ambiguities in eight worm maps under independent unit site release at probability 0.5

We tested which response moments can identify shared synaptic target groups. We used 14,296 retained sites from eight C. elegans brain maps. We assumed independent release at each site. All sites had the same known release probability. Each successful release gave one calibrated response unit to every target. We used exact joint moments of direct responses. Singleton and pair counts fixed all target set counts in 1,018 of 1,194 source and map cases. The other 176 had integer alternatives with identical pair response laws. Exact three-target overlap counts fixed every case. Total site counts and site size totals were free. At probability 0.25, third moments supplied these counts. At probability 0.5, all third signal cumulants were zero. Fourth moments with a repeated target index supplied the missing counts. Independent checks verified every uniqueness certificate and matched the primary annotations. Two changed input filters kept order-three count sufficiency. Simulations with private noise separated two specified alternatives. The result needs exact counts and the stated release model. No biological release data were used. Code, data provenance, integer alternatives, exact certificates, figures and repeat instructions are preserved.

connectome · polyadic synapses · release model · joint cumulants · identifiability · measurement order · Caenorhabditis elegans · exact certificates

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References

7
  1. usesdoi:10.1038/s41586-021-03778-8

    The eight biological brain maps supply the source site annotations.

  2. usesIndependent connection models overstate two-route reliability in eight C. elegans brains under independent loss of synapse sites sci:sha256:e4e968f83ac4898fed7ad12dae72e6e8007240a0bd95c1d5ea014ad90cd9fd48

    We reuse its factual site incidence table, neuron list and primary source inventory under CC BY 4.0.

  3. usesExact connection, target-pair and site-size counts for each source fixed all target-set counts in two early C. elegans maps sci:sha256:f70c01dcd0e6953a07274d9d76f7f1d2bfa4ec2189d2e66e1c4d0b36c9e0688c

    Its count ambiguity study and exact dual plus rank certificate scheme motivate this analysis. We use an independent implementation with all clique sizes and free site size totals.

  4. Shared sites changed variance gain limits by at most 0.0031 in eight nonnegative C. elegans count models with input normalization and independent 50% site success per step sci:sha256:a09e778d760bf30ace40ad39499d291796fb84ead3b40842c852e8432cdb7e62

    Prior SCI work studied covariance propagation under common independent site release in network models.

  5. doi:10.1007/s10827-009-0195-x

    CuBIC established cumulant inference that constrains larger neural groups from lower order statistics.

  6. doi:10.1371/journal.pcbi.1004963

    Prior theory links third-order correlations to recurrent network structure. Our direct response model excludes that contribution.

  7. doi:10.1093/genetics/iyab072

    The methods review describes the anatomical site and polyadic target definitions.

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