So if you apply the rule over here, if you were to start at A as your W zero, then your gradient is negative.

The road across the mountain was narrow, and what's more, it was a steep slope.

It's on very steep ground.

But the easiest way I always do is to draw these arrows and say, OK, when I increase x, y is decreasing.

Maximum gradient

B is going to be his next position so this is how the hill climber decides where to go next.

It makes sense because it's a downward sloping line, but it's not too steep.

Now, they tell us what the slope of this line is.

The growth in population is very rapid in developing countries.

Foreclosures are being fueled by a spike in....

The use of electronic computers is growing rapidly.

There is a rapid increase in world population.

Draw scrollbar bevel

It sends out that at local optimum your derivative would be equal to zero.

The rapid increase of imports surprised us.

Juvenile delinquency is on the increase at a rapid pace.

What is his method going to be?

And essentially, the apartments cover the parking.

Notice also that on all of these graphs, the slope is steeper on in group, authority, purity.

So at any point, the gradient is a vector.

Increase

Now, my derivative term, d, d theta one j of theta one, when evaluated at this point, gonna look at right.

Sixpercent grade, fast greens, breaks to the left.

But there is a very curious pattern in the rest of the 20th century, because we see a sharp decline in this Islamic modernist line.

In 1989, these isolated tears in the fabric of our universe began to increase in frequency.

And if you want to eye ball where is equivalence point, you look for the steepest point in the graph.

That's where the derivative is.

And it turns out there are sometimes other versions of gradient descent that are not batch versions but instead do not look at the entire traning set but look at small subsets of the training sets at the time, and we'll talk about those versions later in this course as well.

India is going to have a lot of young people with a demographic dividend for the next 30 years.

increasing Y

In B, it's about zero.

What happened is a market that didn't exist all things have just come together, and it's become the year of online education, or it's become the year of the network, or it's become the year of the mobile phone or smart phone.

Byline two should read Mini prod forecast increase choco ration, April 1984 , from 20g to 25g per week.

We'll grow by six cities of 12 million people a year for the next 30 years.

How can we describe this mathematically?

Congo will go from 60 to 120.

Enhancing grav plating.

Expedited delivery will cost an additional ten dollars.

What we're going to do is apply gradient descent to minimize our squared error cost function.

Emergency evasives.

Send an ambulance immediately. Over.

We must prevent rapid population growth.

It's what Marianne LaFrance calls standing in social quicksand.

And, you notice that my line changed a little bit.

I should say so, yes. Choco rations going up.