Just want to double check my understanding. There would be two input nodes for this network right? In which case the weights form a line of the form
$$x * w_1 + y * w_2 = 0$$
Or something like that. In general do our inputs parametrize a hyperplane?
mpotoole
Yes, that's right---there would be two input notes (represented by the x- and y-coordinates of every point in the plot). Because we compute the inner product between the inputs and weights, we can think of the output as representing the distance from a hyperplane.
Just want to double check my understanding. There would be two input nodes for this network right? In which case the weights form a line of the form
$$x * w_1 + y * w_2 = 0$$
Or something like that. In general do our inputs parametrize a hyperplane?
Yes, that's right---there would be two input notes (represented by the x- and y-coordinates of every point in the plot). Because we compute the inner product between the inputs and weights, we can think of the output as representing the distance from a hyperplane.