The right hand side is, as well become clear in the next set of lectures.

And on the right hand side is a proposed mathematical surrogate of a fast algorithm.

Putting these three principles together, we get a mathematical definition of a fast algorithm.

Even though we won't be keeping track of lower terms and constant factors.

And it's specifically algorithms, which are basically the math that computers use to decide stuff.

Wow, wow!

Are, the, the mathematical underpinnings of.

Octave, in which you'll be able to very quickly implement the the learning algorithms we've seen already, and the learning algorithms we'll see later in this course.

Burning lots of midnight oil.

This is a book on Optimal Transport, it is a problem involving mathematics, engineering, probability and geometry everything that was said.

The key to these acrobatic maneuvers is algorithms, designed with the help of mathematical models and control theory.

With my visual artist colleagues, we map complex mathematical algorithms that unfold in time and space, visually and sonically.

Show it to you mathematically instead of this

The answer?

We saw that with the training set like our training set of housing prices and we feed that to our learning algorithm.

We're now going to move from real biological data to biogenerative algorithms that create artificial nature in our next artistic and scientific installation.

And taking gradient descent, and the square cost function, and putting them together. That will give us our first

We call it Evolutionary Program Repair.

How did we design the algorithms to do this?

Once you've done that, then there's the computation step.

And this isn't really going to be a finance video.

Music is a mathematical language.

With that we already solved the problem.

Given this data set, an

look at this picture it is so obvious what this is.

The question is what should you then try mixing in order to improve the learning algorithm?

8 and 13.

So how can we automatically choose a good value for the regularization parameter lambda?

Prev

And, once again, this is very important.

So it's very physically easy for us to imagine.

2 4 is the same thing as 1 2.

Wrong!

He was talking about genetic algorithms, quantum teleportation.

Okay. So that's the cost function.

By now, you see the range of different learning algorithms.

Machine learning algorithms for data mining tasks

Any person with average quantitative intelligence who learns to read and write mathematics at an elementary level will, as in verbal language, have little difficulty picking up most of the fundamentals if they choose to master the mathspeak of most disciplines of science.

It's a mathematical expression of how happy you'd be with each other, based on what we know.

And we'll understand that a little bit more in the future.

So finally, let me give you a actual mathematical definition that you could use to do formal proofs.

What's the origin of this?

I don't think anything is really B.

Here is a simple mathematical simulation of this from N. Wright.

Another example a little bit more mathematical.