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

Types of data used in ConvNets

CNNs work exceptionally well on visual tasks, such as object classification and object recognition in images and videos and pattern recognition in music, sound clips, and so on. They work effectively in these areas because they are able to exploit the structure of the data to learn about it. This means that we cannot alter the properties of the data. For example, images have a fixed structure and if we were to alter this, the image would no longer make sense. This differs from ANNs, where the ordering of feature vectors does not matter. Therefore, the data for CNNs is stored in multidimensional arrays.

In computers, images are in grayscale (black and white) or are colored (RGB), and videos (RGB-D) are made of up pixels. A pixel is the smallest unit of a digitized image that can be shown on a computer and holds values in the form of [0, 255]. The...