Developer Guide for Intel® Data Analytics Acceleration Library 2018 Update 2

Local Response Normalization Forward Layer

For any x i 1...i p from the input tensor XR 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 YR n 1 x n 2 x ... x n p such that:

where

See [Krizh2012] for an exact definition of local response normalization.

Problem Statement

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 .