    Gain insights into building and optimizing neural networks in Python. Delve into fundamental concepts, mathematical explanations, and practical implementations to enhance your machine learning skills.

Make your own neutral network in python final.png

Machine learning is one of the fastest growing fields, and we cannot emphasize enough about its importance. This course aims to teach one of the fundamental concepts of machine learning, i.e., Neural Network. You will learn the basic concepts of building a model as well as the mathematical explanation behind Neural Network and based on that; you will build one from scratch (in Python). You will also learn how to train and optimize your network to achieve a better result.

Make Your Own Neural Network in Python

## Calculate slope using small change in $x$

Look at the following graph, which has a new line marked on it. It isn't a tangent because it doesn't touch the curve only at a single point. But it does seem to be centered around time $3$ minutes in some way.

In fact, there is connection to a time of $3$ minutes. What we've done is chosen a time above and below this point of interest at $t=3$. Here, we've selected points $2$ minutes above and below $t=3$ minutes. That is, $t=1$ and $t=5$ minutes. 

Using our mathematical notation, we say we have a $\Delta x$ of $2$ minutes. And we have chosen points $x- \Delta x$ and $x+ \Delta x$. Remember that the symbol $\Delta$ just means a "small change," so $\Delta x$ is a small change in $x$.

If we look at the speeds at times $x- \Delta x$ and $x+ \Delta x$ and draw a line between those two points, we have something that very roughly has the same slope as a tangent at the middle point $x$. Have a look again at the diagram above to see that straight line. Sure, it's not going to have exactly the same slope as a true tangent at $x$, but we'll fix this. 

Let's work out the gradient of this line. We use the same approach as before, where the gradient is the height of the incline divided by the extent. The following diagram makes it clearer what the height and extent is.

# Calculate slope using small change in $x$

Look at the following graph, which has a new line marked on it. It isn't a tangent because it doesn't touch the curve only at a single point. But it does seem to be centered around time $3$ minutes in some way.

Learn to calculate gradients using the analytical method.

Prologue

A Little Background

Let's Get Started!

Backward Propagation of Error

Adjusting the Link Weights

A Gentle Start with Python

Neural Network with Python

Testing Neural Network against MNIST Dataset

Some Suggested Improvements

Even More Fun!

Epilogue

Appendix: A Small Guide to Calculus

Calculus Not by Hand

Calculate slope using small change in $x$

Calculus Not by Hand

Calculate slope using small change in xxx

Calculate slope using small change in $x$