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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

Exploring the various optimization methods

Now that you know what optimization is, it's time to explore some of the methods used in practice. We will not be covering the entire field of optimization because that would require an entire book to cover. We will only cover the essential optimization methods that are applicable to deep learning.

Least squares

Least squares is a subclass of convex optimization. It is classified as having no constraints and takes the following form:

Here, , are rows of A, and is our optimization variable.

We can also express this as a set of linear equations of the form. Therefore, .

The problem of least squares is very similar to that of maximum likelihood estimation.

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