(A) Abstract problem setup. When two regions vary in their receptor densities and activation, how should a shared resource be allocated between them when that resource is limited, as in a sensory … see more
(A) Illustration of resource allocation for heterogeneous receptor density but homogeneous stimulus statistics over all bottleneck sizes. Orange denotes the lower density region and blue the higher … see more
Smaller γ leads to a slower decay and therefore a larger extent of spatial correlations. When the sigma is large, receptors have less similar responses to their neighbours, and therefore co-vary … see more
(A) Examples of allocation for two input regions with differing receptor densities and activation (see insets) for different bottleneck widths, demonstrating complex trade-offs in resource … see more
Main panels: eigenvalues for heterogeneous density (A), heterogeneous activation (B), or combined (C). For each, the manipulated ratio is set as 1:2. For simplicity, the example considers 1D … see more
Resource allocations where the bottleneck is expressed as variance explained. Because eigenvalues decrease dramatically in size, this re-expression results in a ’squashing’ of the allocation curve … see more
(A) Allocations with both heterogeneous density and activation ratios. Expansion and contraction for a baseline region where relative density and activation is varied over the other region. All … see more
(A) Effect of changing both the density and activation ratios, and possible resource allocations for two regions. Plots show the same density ratio, 1:5, considering 1D (left) and 2D (right) … see more
(A) Top left: illustration of problem setup. Increased stimulation is applied to the middle digit (yellow symbols), leading to changes in optimal allocations. Top right: optimal allocations for … see more
(A) Three covariance functions of different smoothness taken from the Matérn class, differing in the parameter ν (see ‘Methods’). (B) Examples of numerically determined allocation for the covariance … see more
(A) Star-nosed moles have two sets of 11 tactile rays used for detecting and capturing prey. (B) Fibre innervation densities for each ray. (C) Typical usage percentages for each ray during foraging. … see more
(A) Fits across all bottleneck sizes for each model. Lowest root-mean-square error (RMSE) is indicated for each model. Dashed line indicates lowest RMSE (excluded for densities-only model as RMSE is … see more