Polynom

polynom

Sometimes there's more than one, right?

So the easiest way to approximate it is to say, well, the simplest polynomial is just a constant, right?

So that's the area and it's a monomial.

That's because I've fit my parameters to the test set.

Now let's plot the following figure.

So they give us a function, f of x.

And what we did in this with the repeated factor is true if we went to a higher degree term.

So this checks out.

So let me just draw a little bit of a graph.

What can I do with this?

In this video, I want to focus on a few more techniques for factoring polynomials.

And we showed it in the beginning.

Let's keep going.

I have something shifted here.

Now let's consider the model selection problem.

Let's start with the training error.

In this case, in all of the examples we'll do, it'll be x.

So x is equal to r3.

We take our kernel, which in this case might be a 2 x 1 kernel.

It could be that NP is equal to x. It could also that P is equal to NP.

lambda, such as if lambda were equal to 0.

We know the exponential function.

So let's see if we can make some headway on this.

Consider the following graph where the horizontal axis graphs complexity of the solution.

It could be the case that the class NP is actually equal to the class EXP.

Okay, so you have a sense that these are considered to be pretty good algorithms.

A lot of companies use these for recruitment.

Oh. We're not good enough?

So if we viewed a squared as kind of the independent variable or the x term, so now this kind of has the shape of polynomials that hopefully you're used to factoring a

This is true.

And, if you include enough polynomial terms then, you know, maybe you can get a hypotheses that separates the positive and negative examples.

One thing I could do is

We didn't want them to have to think about categories, think about tags.

That's y minus 1 squared.

The sum of two binomials is 5x squared minus 6x.

After every step we're canceling out the largest degree of the polynomial we're dividing into.

I don't feel like filling out this questionnaire. There are too many items.

The y terms become 4 times y minus 2 squared. y minus 2 squared.

Let's say this is my polynomial, let me call my polynomial p of x.

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