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?

This cancels with this.

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.

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

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?

And we showed it in the beginning.

The simplest polynomial is just a constant, and it would just be a horizontal line someplace.

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.

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

curve

Curve

Curved

A nice visual composition of symmetry.

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

So I'll go into more depth in that in a future video.

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.

Now this looks a lot like our original equation of the hyperbola, which was x squared over a squared minus y squared over b squared is equal to 1.

Evolute of a curve

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

Splines

Spookiness

Hyperbola

Curve Mode

Bezier Curve

That's a p.

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.

In particular, it could invent things like a curve which fills the plane.

So the price of oil, much like

Directrix of a Conic