Model

The ML process

For any complex problem that requires the computer to be able to identify patterns, there is an ML process to solve it.

We have seen how a linear decision boundary geometrically separates the movie dataset into two regions. The region on one side of the line represents the “Good” movies class while that on the other side of the line shows the “Bad” movies class.

However, mathematically speaking, how do we determine if a point is on the good side or the bad side of a given line? Let’s look at how a line is represented mathematically.

Detour: Math behind the line

Any line in the 2D coordinate plane, including the one shown in the plot above, can be represented by the following general equation,

Here $a$, $b$ and $c$ are constants, whereas $x_1$and $x_2$ represent values of the coordinate axes.

Let’s play around with the values of $a$ and $b$ to see how they affect the visual representation of a line in the 2D plane. Try changing the values of $a$ and $b$ using the slider and find out what effect it has on the line:

But what about the constant $c$? Let’s play with the value of $c$ ...