    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

## Partial derivates 

Let's look at one final example because it shows us how to handle variables that are independent of other variables.

Let's look at the following function:

$$ 
f = 2xy + 3x^2z +4z
$$

Here, $x$, $y$, and $z$ are independent of each other. What do we mean by independent? We mean that $x$, $y$, and $z$ can be any value and don't care what the other variables are—they aren't affected by changes in the other variables. This wasn't the case in previous example, where $y$ was $x^3$ $+ x$, so $y$ was dependent on $x$.

What is $\partial f / \partial x$? Let's look at each part of that long expression. The first bit is $2xy$, so the derivative is $2y$. Why is this so simple? It's simple because $y$ is not dependent on $x$. What we're asking when we say $\partial f / \partial x$, is how does $f$ change when $x$ changes. If $y$ doesn't depend on $x$, we can treat it like a constant. That $y$ might as well be another number like $2$, $3$, or $10$.

Let's carry on. The next bit is $3x^2z$. We can apply the power reduction rule to get $2\times3xz$ or $6xz$. We treat $z$ as just a boring constant number like $2$, $4$, or maybe $100$, because $x$ and $z$ are independent of each other. A change in $z$ doesn't affect $x$.

The final bit $4z$ has no $x$ in it. So, it vanishes completely because we treat it as a plain constant number, like $2$ or $4$.

The final answer is:
$$
\frac{\partial f}{\partial x} = 2y + 6xz
$$

# Partial derivates 

Let's look at one final example because it shows us how to handle variables that are independent of other variables.

Let's look at the following function:

$$ 
f = 2xy + 3x^2z +4z
$$

Understand the concept of partial derivatives to handle independent variables. 

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

Handling Independent Variables

Partial derivates