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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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Toc

Table of Contents (8) Chapters Close

Preface 1. Neural Network and Artificial Intelligence Concepts 2. Learning Process in Neural Networks FREE CHAPTER 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

Simple perceptron – a linear separable classifier


As we saw, a simple perceptron is a single layer neural unit which is a linear classifier. It is a neuron capable of producing only two output patterns, which can be synthesized in active or inactive. Its decision rule is implemented by a threshold behavior: if the sum of the activation patterns of the individual neurons that make up the input layer, weighted for their weights, exceeds a certain threshold, then the output neuron will adopt the output pattern active. Conversely, the output neuron will remain in the inactive state.

As mentioned, the output is the sum of weights*inputs and a function applied on top of it; output is +1 (y>0) or -1(y<=0), as shown in the following figure:

 

We can see the linear interaction here; the output y is linearly dependent on the inputs.

As with most neural network models, it is possible to realize a learning function based on the modification of synaptic connective weights, even in perceptors. At the...

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