local receptive fields

[Dario Ringach]

A good mathematical definition of "locality in space", I think, is to
require the unit to have a compact support in the input space.  In
this sense, RBF-networks have not local units.  The study of
non-orthogonal and orthogonal complete systems in L^2(R) having
compact support, is of importance here.  See for example the work of
Daubechies, Meyer, Mallat, and others on Wavelet theory.  Of course,
other space-frequency representation/analysis of signals, such as the
Gabor transform, are also related to simultaneous localization in
space and frequency.

-
Dario Ringach