A_k {nnR}

A_k: The function that returns the matrix A_k

Description

A_k: The function that returns the matrix A_k

Usage

A_k(k)

Arguments

k

Natural number, the precision with which to approximate squares within [0,1]

Value

An intermediate matrix in a neural network that approximates the square of any real within [0,1] upon ReLU instantiation.

References

Definition 2.22. 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

Examples

A_k(4)
A_k(45)