arXiv: cs.AI preprintsInternational6 November 2026
ApproxBrain: Certified Sufficiency Frontiers in Connectome-Constrained Neural Systems
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arXiv:2611.06929v1 Announce Type: cross Abstract: Background. A connectome specifies the substrate available to a nervous system, not how much of it a given computation requires. Reported compact sufficient circuits are point estimates: one subset, one task, one fidelity threshold, one parameterisation. Methods. We formalise computational sufficiency as a cost-indexed family of neuron subsets conditioned on a task and a tolerance pair (permitted degradation epsilon, permitted failure fraction rho), separate task adequacy from phenotype fidelity, and certify candidates on held-out parameter dra
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