C_k {nnR}

C_k: The function that returns the C_k matrix

Description

C_k: The function that returns the C_k matrix

Usage

C_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

C_k(5)