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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

Regularization

In the previous chapter, we learned about (deep) feedforward neural networks and how they are structured. We learned how these architectures can leverage their hidden layers and non-linear activations to learn to perform well on some very challenging tasks, which linear models aren't able to do. We also saw that neural networks tend to overfit to the training data by learning noise in the dataset, which leads to errors in the testing data. Naturally, since our goal is to create models that generalize well, we want to close the gap so that our models perform just as well on both datasets. This is the goal of regularization—to reduce test error, sometimes at the expense of greater training error.

In this chapter, we will cover a variety of methods used in regularization, how they work, and why certain techniques are preferred over others. This includes...

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