Book Image

Deep Learning with TensorFlow and Keras – 3rd edition - Third Edition

By : Amita Kapoor, Antonio Gulli, Sujit Pal
5 (2)
Book Image

Deep Learning with TensorFlow and Keras – 3rd edition - Third Edition

5 (2)
By: Amita Kapoor, Antonio Gulli, Sujit Pal

Overview of this book

Deep Learning with TensorFlow and Keras teaches you neural networks and deep learning techniques using TensorFlow (TF) and Keras. You'll learn how to write deep learning applications in the most powerful, popular, and scalable machine learning stack available. TensorFlow 2.x focuses on simplicity and ease of use, with updates like eager execution, intuitive higher-level APIs based on Keras, and flexible model building on any platform. This book uses the latest TF 2.0 features and libraries to present an overview of supervised and unsupervised machine learning models and provides a comprehensive analysis of deep learning and reinforcement learning models using practical examples for the cloud, mobile, and large production environments. This book also shows you how to create neural networks with TensorFlow, runs through popular algorithms (regression, convolutional neural networks (CNNs), transformers, generative adversarial networks (GANs), recurrent neural networks (RNNs), natural language processing (NLP), and graph neural networks (GNNs)), covers working example apps, and then dives into TF in production, TF mobile, and TensorFlow with AutoML.
Table of Contents (23 chapters)
21
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22
Index

Some mathematical tools

Before introducing backpropagation, we need to review some mathematical tools from calculus. Don’t worry too much; we’ll briefly review a few areas, all of which are commonly covered in high school-level mathematics.

Vectors

We will review two basic concepts of geometry and algebra that are quite useful for machine learning: vectors and the cosine of angles. We start by giving an explanation of vectors. Fundamentally, a vector is a list of numbers. Given a vector, we can interpret it as a direction in space. Mathematicians most often write vectors as either a column x or row vector xT. Given two column vectors u and v, we can form their dot product by computing . It can be easily proven that where is the angle between the two vectors.

Here are two easy questions for you. What is the result when the two vectors are very close? And what is the result when the two vectors are the same?

Derivatives and gradients everywhere

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