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Hands-On Mathematics for Deep Learning

You're reading from   Hands-On Mathematics for Deep Learning Build a solid mathematical foundation for training efficient deep neural networks

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Product type Paperback
Published in Jun 2020
Publisher Packt
ISBN-13 9781838647292
Length 364 pages
Edition 1st Edition
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Author (1):
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Jay Dawani Jay Dawani
Author Profile Icon Jay Dawani
Jay Dawani
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Table of Contents (19) Chapters Close

Preface 1. Section 1: Essential Mathematics for Deep Learning
2. Linear Algebra FREE CHAPTER 3. Vector Calculus 4. Probability and Statistics 5. Optimization 6. Graph Theory 7. Section 2: Essential Neural Networks
8. Linear Neural Networks 9. Feedforward Neural Networks 10. Regularization 11. Convolutional Neural Networks 12. Recurrent Neural Networks 13. Section 3: Advanced Deep Learning Concepts Simplified
14. Attention Mechanisms 15. Generative Models 16. Transfer and Meta Learning 17. Geometric Deep Learning 18. Other Books You May Enjoy

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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