At unit coupling, at most ten hidden states kept sampled frequency errors below 0.73 percent in two passive adult worm models

We tested hidden-state projection in passive electrical models of two partial adult C. elegans maps. With unit coupling and equal independent noise, at most ten hidden states kept transfer and power spectrum errors below 0.73 percent across the sampled frequency grid and 31 ten-cell retained sets per map. For ten named cells, spectrum maxima were 0.560 and 0.260 percent, compared with 9.046 and 8.124 percent for static reduction. A projection proof gives exact retained covariance, zero-frequency power and leading high-frequency behavior under these assumptions. A second projection block reduced errors further. At tenfold coupling, first-block spectrum maxima rose to 5.966 and 3.897 percent for named cells. Direct numerical checks agreed. These are model results, not measured neural activity. Partial annotation, assumed conductance and noise, and two maps limit biological transfer.

C. elegans · electrical synapses · model reduction · hidden neurons · Krylov projection · noise spectrum · covariance