@ARTICLE{rozell.05,
  author = {Rozell, C.J. and Johnson, D.H.},
  title = {Analyzing the robustness of redundant population codes in sensory and feature extraction systems},
  journal = {Neurocomputing},
  year = {2006},
  volume = {69},
  number = {10--12},
  pages = {1215--1218},
  month = {June},
  abstract = {Sensory systems often use groups of redundant neurons to represent
         stimulus information both during transduction and population coding of
         features. This redundancy makes the system more robust to corruption
         in the representation. We approximate neural coding as a projection of
         the stimulus onto a set of vectors, with the result encoded by spike
         trains. We use the formalism of frame theory to quantify the inherent
         noise reduction properties of such population codes. Additionally,
         computing features from the stimulus signal can also be thought of as
         projecting the coefficients of a sensory representation onto another
         set of vectors specific to the feature of interest. The conditions
         under which a combination of different features form a complete
         representation for the stimulus signal can be found through a recent
         extension to frame theory called ``frames of subspaces.'' We extend
         the frame of subspaces theory to quantify the noise reduction
         properties of a collection of redundant feature spaces.},
  url = {http://siplab.gatech.edu/pubs/rozellCNS2005.pdf},
}