p071fig02.16 To solve the noise-saturation dilemma, individual neurons in a network that is receiving a distributed spatial patterns of inputs need to remain sensitive to the ratio of input to them divided by all the inputs in that spatial pattern. Although the inputs are delivered to a finite number of neurons, the input and activity patterns are drawn continuously across the cells for simplicity.
|| Noise-Saturation Dilemma. [Ii, xi] vs t. [Input, Activity] pattern [small -> noise, large -> saturation]. Problem: remain sensitive to input RATIOS θi = Ii / sum[j: Ij] as total input I = sum[j: Ij] -> ∞. Many kinds of data exhibit sensitivity to ratios of inputs.