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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

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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