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A comprehensive guide to getting well-versed with the mathematical techniques for building modern deep learning architectures

Key Features

  • Understand linear algebra, calculus, gradient algorithms, and other concepts essential for training deep neural networks
  • Learn the mathematical concepts needed to understand how deep learning models function
  • Use deep learning for solving problems related to vision, image, text, and sequence applications

Book Description

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.

What you will learn

  • Understand the key mathematical concepts for building neural network models
  • Discover core multivariable calculus concepts
  • Improve the performance of deep learning models using optimization techniques
  • Cover optimization algorithms, from basic stochastic gradient descent (SGD) to the advanced Adam optimizer
  • Understand computational graphs and their importance in DL
  • Explore the backpropagation algorithm to reduce output error
  • Cover DL algorithms such as convolutional neural networks (CNNs), sequence models, and generative adversarial networks (GANs)

Who this book is for

This book is for data scientists, machine learning developers, aspiring deep learning developers, or anyone who wants to understand the foundation of deep learning by learning the math behind it. Working knowledge of the Python programming language and machine learning basics is required.

Table of Contents

  1. Linear Algebra
  2. Vector Calculus
  3. Probability and Statistics
  4. Optimization
  5. Graph Theory
  6. Linear Neural Networks
  7. Feedforward Neural Networks
  8. Regularization
  9. Convolutional Neural Networks
  10. Recurrent Neural Networks
  11. Attention Mechanisms
  12. Generative Models
  13. Transfer and Meta Learning
  14. Geometric Deep Learning

4 reviews for Hands-On Mathematics for Deep Learning: Build a solid mathematical foundation for training efficient deep neural networks

  1. TD59
    February 24, 2021
    5.0 out of 5 stars Great resource for Machine Learning
    I teach Machine Learning in graduate school. Many times, students ask me for a book that provides a quick refresh of key math principles. While there ...More
    I teach Machine Learning in graduate school. Many times, students ask me for a book that provides a quick refresh of key math principles. While there are many great books to choose from, I usually put Hands-on Mathematics high on my list.
    Helpful? 0 0
    Kabeer
    October 9, 2020
    5.0 out of 5 stars Great, simple introductory text
    The book is a good introductory text to get into the subject. Really clarifies concepts in a very simple and intuitive way. Recommended in particular ...More
    The book is a good introductory text to get into the subject. Really clarifies concepts in a very simple and intuitive way. Recommended in particular for anyone who has struggled with math in the past too.
    Helpful? 0 0
    Amazon Customer
    October 9, 2020
    5.0 out of 5 stars Worth a read
    This book does a great job of breaking things down for those who do not have a deep knowledge in mathematics. The author tries to break down and simpl...More
    This book does a great job of breaking things down for those who do not have a deep knowledge in mathematics. The author tries to break down and simplify concepts to make them intuitive for readers who are trying to break into the field. This book explains things in a clear and simple manner. If you’re looking to get into the field of deep learning, I would highly recommend this reading this book.
    Helpful? 0 0
    Andrew B.
    September 17, 2020
    5.0 out of 5 stars Very informative and easy to understand
    I have read many books on deep learning, and many of them talk about theory where it is beyond the reach of the average reader who doesn't have a stro...More
    I have read many books on deep learning, and many of them talk about theory where it is beyond the reach of the average reader who doesn't have a strong math background of a MS in the sciences, or is about programming them in some language or library, but they very rarely break things down and explain them the way this book does. While the book may lack mathematical rigour and deep explanations and proofs, it makes a very good attempt at trying to simplify concepts to make them intuitive for readers who are trying to get into the field and don't come from a strong mathematical background. On the cover, the book claims to cover a breadth of topics but it seems to be focused on the main classes of neural networks (FNNs, CNNs, RNNs) and gives brief introductions to the other topics. I had struggled with many concepts like backpropagation in recurrent and convolutional nets, but this book explained it very well and very simply. If you’re looking to get into the field of deep learning, I highly recommend this reading this book.
    Helpful? 0 0
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