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

Transfer learning

We humans have an amazing ability to learn, and then we take what we have learned and apply the knowledge to different types of tasks. The more closely related the new task is to tasks we already know, the easier it is for us to solve the new task. Basically, we never really have to start from scratch when learning something new.

However, neural networks aren't afforded this same luxury; they need to be trained from scratch for each individual task we want to apply them to. As we have seen in previous chapters, neural networks are very good at learning how to do one thing very well, and because they only learn what lies within an interpolation of the distribution they have been trained to recognize, they are unable to generalize their knowledge to deal with tasks beyond what they have encountered in the training dataset.

In addition, deep neural networks...