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Hands-On Mathematics for Deep Learning

Hands-On Mathematics for Deep Learning

By : Jay Dawani
3.5 (10)
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Hands-On Mathematics for Deep Learning

Hands-On Mathematics for Deep Learning

3.5 (10)
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)
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1
Section 1: Essential Mathematics for Deep Learning
7
Section 2: Essential Neural Networks
13
Section 3: Advanced Deep Learning Concepts Simplified

The need for regularization

In previous chapters, we learned how feedforward neural networks are basically a complex function that maps an input to a corresponding target/label by learning the underlying distribution using the training data. We can recall that during training, after an error has been calculated during the forward pass, backpropagation is used to update the parameters in order to reduce the loss and better approximate the data distribution. We also learned about the capacity of neural networks, the bias-variance trade-off, and how neural networks can underfit or overfit to the training data, which prevents it from being able to perform well on unseen data or test data (that is, a generalization error occurs).

Before we get into what exactly regularization is, let's revisit overfitting and underfitting. Neural networks, as we know, are universal function approximators...

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Hands-On Mathematics for Deep Learning
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