We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
16/2001
Nonlinear analysis of spatio-temporal receptive fields: IV. Generic tuning properties for rectifying rate-functions
Thomas Wennekers
Abstract
Neural field models have been used to explain tuning properties of V1 neurons. I here show that these models generically lead to contrast-independent tuning if they only have semilinear, zero-threshold rate functions. Other model details are unimportant, as the number and dimension of layers, imprinted feature maps, the precise form of input profiles or connectivity kernels, etc. Furthermore, also spatio-temporal solutions scale linearly with input strength but are otherwise form-invariant.
