x belongs to R$^$N$\backslash$times $2$

is the feature matrix of N samples in $2$ dimensions and y in R

N is the label

vector $(\backslash$pm $1).$ Use initial value w$0=[1$; $1]$T

$.$ Now, run your perceptron algorithm

on the given data $($execute hw$0.$py$).$ What are the error rates of the prediction

with the initial w$0$ and resulting weight w$?$ The prediction on a single data point

xt can be computed by comparing