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Neural Networks with R

You're reading from   Neural Networks with R Build smart systems by implementing popular deep learning models in R

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Product type Paperback
Published in Sep 2017
Publisher Packt
ISBN-13 9781788397872
Length 270 pages
Edition 1st Edition
Languages
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Authors (2):
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Balaji Venkateswaran Balaji Venkateswaran
Author Profile Icon Balaji Venkateswaran
Balaji Venkateswaran
Giuseppe Ciaburro Giuseppe Ciaburro
Author Profile Icon Giuseppe Ciaburro
Giuseppe Ciaburro
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Table of Contents (14) Chapters Close

Title Page
Credits
About the Authors
About the Reviewer
www.PacktPub.com
Customer Feedback
Preface
1. Neural Network and Artificial Intelligence Concepts FREE CHAPTER 2. Learning Process in Neural Networks 3. Deep Learning Using Multilayer Neural Networks 4. Perceptron Neural Network Modeling – Basic Models 5. Training and Visualizing a Neural Network in R 6. Recurrent and Convolutional Neural Networks 7. Use Cases of Neural Networks – Advanced Topics

Multi-Layer Perceptron


We saw that the AND and OR gate outputs are linearly separable and perceptron can be used to model this data. However, not all functions are separable. In fact, there are very few and their proportion to the total of achievable functions tends to zero as the number of bits increases. Indeed, as we anticipated, if we take the XOR gate, the linear separation is not possible. The crosses and the zeros are in different locations and we cannot put a line to separate them, as shown in the following figure:

 

We could think of parsing more perceptrons. The resulting structure could thus learn a greater number of functions, all of which belong to the subset of linearly separable functions. In order to achieve a wider range of functions, intermediate transmissions must be introduced into the perceptron between the input layer and the output layer, allowing for some kind of internal representation of the input. The resulting perceptron is called MLP.

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