C_k: C_k: The function that returns the C_k matrix

In nnR: Neural Networks Made Algebraic

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)

nnR documentation built on May 29, 2024, 2:02 a.m.