Please let a human expert solve this do not use AI$!$ thank you

Setup as above: We initialize the parameters to all zero values and run the linear perceptron algorithm

through these points in a particular order until convergence. The number of mistakes made on each point are

shown in the table below. $($These points correspond to the data points in the plot above.$)$

The mistakes that the algorithm makes often depend on the order in which the points were considered. Could

the point $(5,2)$ labeled $+1$ have been the first one considered?

yes

no

depends

$1\mathrm{.}3$

Suppose that we now find the linear separator that maximizes the margin instead of running the perceptron

algorithm.

What are the parameters ${}_0$ and $$ corresponding to the maximum margin separator?

$($Enter ${}_0$ accurate to at least $3$ decimal places.$)$

${}_0=$

$($Enter $$ as a vector, enclosed in square brackets, and components separated by commas, e$.$g$.$ type $0,1$ for

${\left[\begin{array}{cc}0& 1\end{array}\right]}^T.)$

$=1\mathrm{.}4$

What is the value of the margin attained?

$($Enter an exact answer or decimal accurate to at least $2$ decimal places.$)$

$1\mathrm{.}5$

Using the parameters ${}_0$ and $$ corresponding to the maximum margin separator, what is the sum of Hinge

losses evaluated on each example?

Suppose we modify the maximum margin solution a bit and divide both $$ and ${}_0$ by $2.$ What is the sum of hinge

losses evaluated on each example for this new separator?

Sum of hinge losses Problem $1.$ Linear Classification

Consider a labeled training set shown in figure below:

$1\mathrm{.}1$

We initialize the parameters to all zero values and run the linear perceptron algorithm through these points in

a particular order until convergence. The number of mistakes made on each point are shown in the table

below. $($These points correspond to the data point in the plot above$)$

Note: You should be able to arrive at the answer without programming.

What is the resulting offset parameter ${}_0?$

Enter the numerical value for ${}_0$ :

${}_0=$

What is the resulting parameter $?$

$($Enter $$ as a vector, e$.$g$.$ type $0,1$ if $={\left[\begin{array}{cc}0& 1\end{array}\right]}^2..)$

$=$