Position Variance, Recurrence and Perceptual Learning
 Zhaoping Li   Peter Dayan 
 
 NIPS 2000, to appear.
 Abstract 
  Visual stimulus arrays are inevitably presented at different
  positions on the retina in perceptual learning tasks, even tasks
  that nominally require fixation. We show that inference in the face
  of positional variance has a structurally different quality from
  inference about fixed position stimuli, involving a particular,
  quadratic, non-linearity rather than a purely linear discrimination.
  We show the advantage this non-linearity has for discrimination, and
  suggest it as a role for recurrent connections in area V1.
 compressed postscript     pdf