Book Image

Hands-On Mathematics for Deep Learning

By : Jay Dawani
Book Image

Hands-On Mathematics for Deep Learning

By: Jay Dawani

Overview of this book

Most programmers and data scientists struggle with mathematics, having either overlooked or forgotten core mathematical concepts. This book uses Python libraries to help you understand the math required to build deep learning (DL) models. You'll begin by learning about core mathematical and modern computational techniques used to design and implement DL algorithms. This book will cover essential topics, such as linear algebra, eigenvalues and eigenvectors, the singular value decomposition concept, and gradient algorithms, to help you understand how to train deep neural networks. Later chapters focus on important neural networks, such as the linear neural network and multilayer perceptrons, with a primary focus on helping you learn how each model works. As you advance, you will delve into the math used for regularization, multi-layered DL, forward propagation, optimization, and backpropagation techniques to understand what it takes to build full-fledged DL models. Finally, you’ll explore CNN, recurrent neural network (RNN), and GAN models and their application. By the end of this book, you'll have built a strong foundation in neural networks and DL mathematical concepts, which will help you to confidently research and build custom models in DL.
Table of Contents (19 chapters)
1
Section 1: Essential Mathematics for Deep Learning
7
Section 2: Essential Neural Networks
13
Section 3: Advanced Deep Learning Concepts Simplified

Understanding RNNs

The word recurrent in the name of this neural network comes from the fact that it has cyclic connections and the same computation is performed on each element of the sequence. This allows it to learn (or memorize) parts of the data to make predictions about the future. An RNN's advantage is that it can scale to much longer sequences than non-sequence based models are able to.

Vanilla RNNs

Without further ado, let's take a look at the most basic version of an RNN, referred to as a vanilla RNN. It looks as follows:

This looks somewhat familiar, doesn't it? It should. If we were to remove the loop, this would be the same as a traditional neural network, but with one hidden layer, which we&apos...