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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

Graph neural networks

Graph neural networks are the quintessential neural network for geometric deep learning, and, as the name suggests, they work particularly well on graph-based data such as meshes.

Now, let's assume we have a graph, G, that has a binary adjacency matrix, A. Then, we have another matrix, X, that contains all the node features. These features could be text, images, or categorical, node degrees, clustering coefficients, indicator vectors, and so on. The goal here is to generate node embeddings using local neighborhoods.

As we know, nodes on graphs have neighboring nodes, and, in this case, each node tries to aggregate the information from its neighbors using a neural network. We can think of the network neighborhood as a computation graph. Since each node has edges with different nodes, each node has a unique computation graph.

If we think back to convolutional...

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