Jesus Malo, 9/26/2001

Inversion of the divisive normalization revisited

Last June I reported a fast technique to invert the divisive normalization. However, fundamental problems have appeared in the most interesting cases (using optimal parameters in the normalization). I will discuss:
More specific conditions to ensure the invertibility of the normalization.
Conditions for component independization using the divisive normalization. Can we expect true component independization (PDF factorization) with an optimized normalization?
Maximum likelihood versus optimal prediction in the estimation of parameters of the divisive normalization