Discrete

Or a test result that might have a continuous set of possible values.

Smoothing was the only planner that actually really worked in a continuous domain.

We can actually count the values.

At some level there are a couple differences in methods.

They scale quadratically with the dimensionality of the state space.

Congratulations. You made it through my first motion class.

In Unit 5 and 6 I'll dive into control.

It's a continuous thing, because your steering is continuous, and time is continuous.

These local rollouts are continuous trajectories.

You can see here that a right turn is being executed, followed by a lane shift.

Let me talk about discrete versus continuous.

As usual, you get a chance to program all these wonderful things.

That is, we have to know the set of available actions to us.

Discretely of course, ma'm.

Temperature is a continuous value. Our base number would not be able to predict the temperature, it only can predict discrete classes.

Go to Germany, find him. Brother's dead. The family is lost.

But any animal could have a mass anywhere in between here.

Even though this is the way I've defined it now, a finite interval, you can take on any value in between here.

Let me draw in an abstraction of the state space, and discretize the states as shown with these red lines over here.

The fleet's beginning to break up.

Our example so far was one of classification.

So here are the 4 concepts again partially observable versus fully, stochastic versus deterministic, continuous versus discrete, adversarial versus benign.

And we talked about the classification problem, where the goal is to predict a discrete value output.

There's a certain amount of randomness involved for the outcome of dice, and therefore, we call this stochastic.

There is a number of very sharp turns over here that are just irreconcilable with the motion of a car.

That's an overview.

Logistic Regression is actually a classification algorithm that we apply to settings where the

It's got a bunch of notches and it's got a bunch of teeth.

Solomon Golomb.

It looks like she's the anchor for this little domestic disaster.

We see that indeed it was, it was 0.6.

I've changed the random variable now.

Euler by the way was a famous mathematician, Leonhard Euler.

While continuous and I guess just another definition for the word discrete in the English language would be polite, or not obnoxious, or kind of subtle.

It could be 9.58. We can actually list them. So in this case, when we round it to the nearest hundredth, we can actually list of values.

And it turns out that they behave like quantum particles.

This is the first value it can take on, this is the second value that it can take on.

This point and the regression line, that's the prediction error or residual for that individual.

Say, given 12, find the exponent 3 needs to be raised to.

Clear the range.

And even though this is a valid solution to the planning problem, a car can't really follow these discrete choices.

The Dúnedain the men of the West were scattered and few and beset by many dangers

We're trying to watch.

Sporadic resistance, minimal casualties.