create_nn {nnR}

create_nn

Description

Function to create a list of lists for neural network layers

Usage

create_nn(layer_architecture)

Arguments

layer_architecture

a list specifying the width of each layer

Value

An ordered list of ordered pairs of $(W,b)$. Where $W$ is the matrix representing the weight matrix at that layer and $b$ the bias vector. Entries on the matrix come from a standard normal distribution.

References

Definition 2.1 in 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

Which in turn is a modified version of the one found in:

Definition 2.3. Grohs, P., Hornung, F., Jentzen, A. et al. Space-time error estimates for deep neural network approximations for differential equations. (2019). https://arxiv.org/abs/1908.03833.

Examples

create_nn(c(8, 7, 8))
create_nn(c(4,4))