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LETTER Communicated by Alexandre Pouget Do Simple Cells in Primary Visual Cortex Form a Tight Frame?
 

Summary: LETTER Communicated by Alexandre Pouget
Do Simple Cells in Primary Visual Cortex Form a Tight Frame?
Emilio Salinas
Institutode Fisiolog´ġa Celular, UNAM, Ciudad UniversitariaS/N, 04510M´exico D.F.,
M´exico
L. F. Abbott
Volen Center for Complex Systems and Department of Biology, Brandeis University,
Waltham, MA 02254-9110,U.S.A
Sets of neuronal tuning curves, which describe the responses of neurons
as functions of a stimulus, can serve as a basis for approximating other
functions of stimulus parameters. In a function-approximating network,
synaptic weights determined by a correlation-based Hebbian rule are
closely related to the coef cients that result when a function is expanded
in an orthogonal basis. Although neuronal tuning curves typically are
not orthogonal functions, the relationship between function approxima-
tion and correlation-based synaptic weights can be retained if the tuning
curves satisfy the conditions of a tight frame. We examine whether the
spatial receptive elds of simple cells in cat and monkey primary visual
cortex (V1) form a tight frame, allowing them to serve as a basis for con-
structing more complicated extrastriate receptive elds using correlation-

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine