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Neural Computation

November 2013, Vol. 25, No. 11, Pages 2809-2814
(doi: 10.1162/NECO_a_00505)
© 2013 Massachusetts Institute of Technology
What Is the Limit of Redundancy Reduction with Divisive Normalization?
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Abstract

Divisive normalization has been proposed as a nonlinear redundancy reduction mechanism capturing contrast correlations. Its basic function is a radial rescaling of the population response. Because of the saturation of divisive normalization, however, it is impossible to achieve a fully independent representation. In this letter, we derive an analytical upper bound on the inevitable residual redundancy of any saturating radial rescaling mechanism.