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Hands-On Mathematics for Deep Learning

You're reading from  Hands-On Mathematics for Deep Learning

Product type Book
Published in Jun 2020
Publisher Packt
ISBN-13 9781838647292
Pages 364 pages
Edition 1st Edition
Languages
Author (1):
Jay Dawani Jay Dawani
Profile icon Jay Dawani

Table of Contents (19) Chapters

Preface 1. Section 1: Essential Mathematics for Deep Learning
2. Linear Algebra 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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