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(1) Debiprasad Ghosh's answer to Why does batch normalization help? - Quora
When you have less than million parameters you can have luxury of global optimization or curvature-aided learning. But if you have more than million parameters, you have to work with gradient descent only. Whitening brings spherical shape to the error surface, where originally it is ellipsoidal and Gradient Descent works better if error surface is spherical than elliptical.
ai 
july 2017
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