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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

Deep neural networks

Now, it's time to get into the really fun stuff (and what you picked up this book for)—deep neural networks. The depth comes from the number of layers in the neural network and for an FNN to be considered deep, it must have more than 10 hidden layers. A number of today's state-of-the-art FNNs have well over 40 layers. Let's now explore some of the properties of deep FNNs and get an understanding of why they are so powerful.

If you recall, earlier on we came across the universal approximation theorem, which stated that an MLP with a single hidden layer could approximate any function. But if that is the case, why do we need deep neural networks? Simply put, the capacity of a neural network increases with each hidden layer (and the brain has a deep structure). What this means is that deeper networks have far greater expressiveness than shallower...

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