Now I want to talk about approximate inference by means of sampling.

Variable elimination works faster than inference by enumeration in most practical cases.

So let's think about the inference.

Let's return to this equation, which we use to show how to do inference by enumeration.

And the key idea to Bayesian inference is you have two sources of information from which to make your inference.

Recognition and figure ground inference needs to co evolve.

The Ladder of Inference, which was first proposed by Harvard professor Chris Argyris, is the basis of this model.

We have to consider this when we do probabilistic inference.

We have a very adaptive sort of online type inference algorithm.

In this unit, we will see how to do probabilistic inference.

Later on, Peter will tell you about inference in Bayes networks.

And what it means is we really are Bayesian inference machines.

The next technique for efficient inference is to maximize independence of variables.

Now, what kinds of questions can we ask to do inference about?

We're going to talk about perhaps the holy grail of probabilistic inference.

And you can't do a reverse inference here. You can't say that.

In our JavaScript Engine, we've recently had a great boost from type inference.

We've seen how to do enumeration to solve the inference problem on belief networks.

We discussed specific incidents of hidden Markov model inference or filtering in our quizzes.

Before drawing the line, hover over the top edge and find the midpoint inference.

A kind of inference where we are trying to say, what's the most likely explanation?

The nice thing about this structure is it makes it possible to efficiently do inference.

The structure of a Bayes net determines how efficient it is to do inference on it.

It's the most fundamental consideration in probabilistic inference, but the basic rule is really, really simple.

And there are very efficient inference mechanisms for determining validity and satisfiability, alhough we haven't discussed them.

Here's a new network that we'll use to investigate how sampling can be used to do inference.

It's still a difficult computation, an NP hard computation, to do inference over Bayes nets in general.

Thus, sampling has an advantage over inference in that we know a procedure for coming up with at least an approximate value for the joint probability distribution, as opposed to exact inference, where the computation may be very complex.

Rather than call them input and output variables, in probabilistic inference, we'll call them evidence and query variables.

Inference, the dead man knew something about it, something that would stop the owner getting paid Ł30 million.

Here are the basic inference points. Endpoints on edge points and mid points for the middle of any edge.

like 'Ladder of Inference', we worked with a storyboard from beginning to end because we were dealing with character animation.

And then we can use inference to figure out the answer to questions like am I going to be late?

So, tools for dynamic inference of invariants can work well if they do have a good test suite in the beginning.

Now, to do inference over this network using sampling, we start off with a variable where all the parents are defined.

The fact is that the thing we programmed here captures the key of the probabilistic inference necessary to localize the Google care.

All reference points are called Inference points' in SketchUp, and they will be very helpful in making you both accurate and fast.

If you want to invert the matrix, you type P inv A, this is typically called a pseudo inference, but it doesn't matter.

And the answer is 0.0333 or a 1 3 and now we're going to apply the entire arsenal of inference we just learned about.

The first technique we can use to get a speed up in doing inference on Bayes nets is to pull out terms from the enumeration.

And now furthermore, in probabilistic inference, the output is not a single number for each of the query variables, but rather, it's a probability distribution.

Because if we could demonstrate that genesis had occurred not once, but twice, independently, in our solar system, then that means, by inference, it has occurred a staggering number of times throughout the universe and its 13.7 billion year history.

By guile and by bluster, by night and by day,

So we might be computing the correlation coefficient in a sample and then trying to make an inference about the relationship between two variables in a population.

Stand by. Stand by.