Cpy {nnR}

Cpy

Description

The function that returns \mathsf{Cpy} neural networks. These are neural networks defined as such

\mathsf{Aff}_{\left[ \mathbb{I}_k \: \mathbb{I}_k \: \cdots \: \mathbb{I}_k\right]^T,0_{k}}

Usage

Cpy(n, k)

Arguments

n

number of copies to make.

k

the size of the input vector.

Value

Returns an affine network that makes a concatenated vector that is n copies of the input vector of size k. See Aff and Sum.

References

Definition 2.9. Rafi S., Padgett, J.L., Nakarmi, U. (2024) Towards an Algebraic Framework For Approximating Functions Using Neural Network Polynomials https://arxiv.org/abs/2402.01058