They can only be applied to discrete state spaces is clearly wrong.

You presume correctly.

likelihood. We want to have the most likely albedo and the most likely shape which could give rise to that image.

Here we had one probability to estimate.

I think you should be really happy and proud of yourself.

This is our first programming assignment.

We study again our die. You observe the following sequence 1, 2, 3, 2.

And then we iterate.

I will now teach you about estimators.

It's hours, people per hour.

An estimated 350,000 people were exposed to the bombing

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Supposed suicide.

So here's a multiple choice question for particle filters.

OK well I'll read it out loud in case you can't see it.

But anyway back to the problem.

I just want to tell you what you've learned, because you did amazingly well.

Astronomers inferred the existence of a local supercluster.

W 0, where 0 is your iteration number, and then you up with it iteratively.

Thank you for taking the class so far. You learned a lot already.

The next question a lot of people had was does this method we're using depend on the robot already having a map of its environment?

If you built a localization system for robots with higher dimensional state spaces,

Based on the number of false positives...

If you understood this, you understand probability, and you understand localization.

Also, there'd be more job opportunities there.

Stop estimating backup size

Simple extrapolation.

It's a really simple formula. It's what's called the empirical count.

Steel production reached an estimated 100 million tons last year.

There is 5 data points.

We find that along the main diagonal our uncertainty has shrunk substantially.

What if in any situation you could just calculate,

We're born problem solvers.

If you got this correct, then you've done something quite amazing.

living on our tiny planet who are affected by a mental illness.

And in the second box, give me an estimator that has one fake data point.

later called The Black Death, spread across Europe with devastating consequences.

In doing so we were able to localize Junior in the Darpa Urban Challenge with centimeter precision.

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Control estimates their descent at 100 meters an hour.

Estimated time of death? Coroner puts time of death somewhere between 10 and 1 last night.

And the basis of the fetus' prediction is what its mother eats.

An estimated 23 million people went to the polls today.