Batch Normalization Is Blind to the First and Second Derivatives of the Loss. (arXiv:2205.15146v2 [cs.LG] UPDATED)

In this paper, we prove the effects of the BN operation on the
back-propagation of the first and second derivatives of the loss. When we do
the Taylor series expansion of the loss function, we prove that the BN
operation will block the influence of the first-order term and most influence
of the second-order term of the loss. We also find that such a problem is
caused by the standardization phase of the BN operation. Experimental results
have verified our …

arxiv derivatives loss normalization