Developer Guide for Intel® Data Analytics Acceleration Library 2018
For any x i 1...i p from the input tensor X ∈ R n 1 x n 2 x ... x n p and a dimension k ∈ {1, ..., p} of size n k , the forward local response normalization layer computes the p-dimensional tensor Y ∈ R n 1 x n 2 x ... x n p such that:
where
α, β, κ ∈ R
n is a positive integer number
See [Krizh2012] for an exact definition of local response normalization.
Given a p-dimensional tensor X ∈ R n 1 x n 2 x ... x n p and scalars α, β, κ, and n, the problem is to compute the p-dimensional tensor Y ∈ R n 1 x n 2 x ... x n p .