Say I have these equations:
$$x_1 = x_2 + 2y_1 + b$$ $$x_2 = y_2 + c$$ $$y_1 = z + a$$ $$y_2 = y_3 + d$$ $$z = z_1 + e$$
$x_1$ depends on $x_2$ (depends on $y_2$ (depends on $y_3$)) and $y_1$ (depends on $z$ (depends on $z_1$)).
$x_1$ is my final equation and $y_3$ and $z_1$ are my initial variables.
How do I represent them in a neural network? My final aim is to backtrack from $x_1$, and see what change of an amount $n$ in $x_1$ resulted from which of $y_3$ or $z_1$.
All these variables are item prices in the real world.
My inputs are $z_1$ and $y_3$ and my output is $x_1. z_1$ and $y_3$ are prices and the final output $x_1$ is also a price.