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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

Training neural networks

Now that we have an understanding of backpropagation and how gradients are computed, you might be wondering what purpose it serves and what it has to do with training our MLP. If you will recall from Chapter 1, Vector Calculus, when we covered partial derivatives, we learned that we can use partial derivatives to check the impact that changing one parameter can have on the output of a function. When we use the first and second derivatives to plot our graphs, we can analytically tell what the local and global minima and maxima are. However, it isn't as straightforward as that in our case as our model doesn't know where the optima is or how to get there; so, instead, we use backpropagation with the gradient descent as a guide to help us get to the (hopefully global) minima.

In Chapter 4, Optimization, we learned about gradient descent and how we...

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