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