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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

Long short-term memory

As we saw earlier, the standard RNN does have some limitations; in particular, they suffer from the vanishing gradient problem. The LSTM architecture was proposed by Jürgen Schmidhuber (ftp://ftp.idsia.ch/pub/juergen/lstm.pdf) as a solution to the long-term dependency problem that RNNs face.

LSTM cells differ from vanilla RNN cells in a few ways. Firstly, they contain what we call a memory block, which is basically a set of recurrently connected subnets. Secondly, each of the memory blocks contains not only self-connected memory cells but also three multiplicative units that represent the input, output, and forget gates.

Let's take a look at what a single LSTM cell looks like, then we will dive into the nitty-gritty of it to gain a better understanding. In the following diagram, you can see what an LSTM block looks like and the operations that...

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