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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

Parameter tying and sharing

The preceding parameter norm penalties work by penalizing the model parameters when they deviate from 0 (a fixed value). But sometimes, we may want to express prior knowledge about which parameters would be better suited to the model. Although we may not know what those parameters are, thanks to domain knowledge and the architecture of the model, we know that there are likely to be some dependencies between the parameters of the model.

These dependencies could be some specific parameters that are closer to some than to others. Let's suppose we have two different models for a classification task and detect the same number of classes. Their input distributions, however, are not the same. Let's name the first model A with θ(A) parameters and the second model B with θ(B) parameters. Both of these models map their respective inputs...

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