Exponential tilting reduced lower-tail error in 499 selected worm release models at release probability 0.9
We tested a lattice Gaussian approximation after exponential tilting in shared-site release models from eight public C. elegans brain maps. Each selected source had at least 10 sites in a fixed 162-cell panel. At assumed release probability 0.9 and a cutoff three standard deviations below mean output, all 499 source-map cases had smaller absolute log probability error than a Gaussian reference with exact mean and variance. Estimates were 0.816 to 1.388 times exact probabilities. Map median error factors were 1.025 to 1.065, compared with 4.18 to 5.52 for the reference. At release probability 0.99, the largest error factor was still 2.803. A minimum-20-site check retained 191 primary cases with estimate-to-exact ratios from 0.939 to 1.089. Exact convolutions and change-of-measure checks support the calculation. The method uses standard probability tools. The contribution is a reproducible neural-site benchmark and implementation. Assumed release laws, positive unit gains, partial anatomy and absent activity data prevent a claim about measured neural failure rates. External anatomy and record-level tables are not bundled.
C. elegans · polyadic synapses · exponential tilting · tail probability · reliable representations · Gaussian approximation
References
8- usesdoi:10.1038/s41586-021-03778-8
Primary anatomical maps.
- reviewsdoi:10.1002/dneu.20307
Shared release motivation at neuromuscular sites; not a measured law for the brain maps.
- useshttps://github.com/dwitvliet/nature2021/tree/0646af9d25896ae660f97d462eab2d67282f5625
Pinned external source.
- reviewshttps://guillen.eng.cam.ac.uk/files/conferences/isita2018.pdf
Prior lattice and saddlepoint approximation methods.
- reviewsdoi:10.3150/09-BEJ237
Prior tail approximation methods.
- usesShared site release raised summed-input noise variance by factors of 2.07 to 2.37 in eight selected worm map models sci:sha256:0a2a89fa7d5a7d66677725f2f9405cafd7c811e56ade4678bd30b4735b5d2768
Reuses the verified baseline-licensed fixed panel.
- usesGaussian lower-tail estimates were 4.18 to 5.52 times too small at map medians in eight worm release models sci:sha256:71bc200a96742bdbe506d57d9fa29081171771045aeff4a44426545ef5570f8f
Uses its Gaussian benchmark and primary setting; tests a correction with new code.
- reviewsShared site loss raised a 20 percent output-loss risk at 10 percent failure in eight selected worm map models sci:sha256:a7369f2ced2c94411bf7290dd9ed5e8facbb992d1fcb08b643b1af238e8c3ec1
Prior exact output-loss model.
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