Book Image

Neural Networks with R

By : Balaji Venkateswaran, Giuseppe Ciaburro
Book Image

Neural Networks with R

By: Balaji Venkateswaran, Giuseppe Ciaburro

Overview of this book

Neural networks are one of the most fascinating machine learning models for solving complex computational problems efficiently. Neural networks are used to solve wide range of problems in different areas of AI and machine learning. This book explains the niche aspects of neural networking and provides you with foundation to get started with advanced topics. The book begins with neural network design using the neural net package, then you’ll build a solid foundation knowledge of how a neural network learns from data, and the principles behind it. This book covers various types of neural network including recurrent neural networks and convoluted neural networks. You will not only learn how to train neural networks, but will also explore generalization of these networks. Later we will delve into combining different neural network models and work with the real-world use cases. By the end of this book, you will learn to implement neural network models in your applications with the help of practical examples in the book.
Table of Contents (14 chapters)
Title Page
Credits
About the Authors
About the Reviewer
www.PacktPub.com
Customer Feedback
Preface

Linear separation


When a set of output values can be split by a straight line, the output values are said to be linearly separable. Geometrically, this condition describes the situation in which there is a hyperplane that separates, in the vector space of inputs, those that require positive output from those that require a negative output, as shown in the following figure:

Here, one side of the separator are those predicted to belong to one class whilst those on the other side are predicted to belong to a different class. The decision rule of the Boolean neuron corresponds to the breakdown of the input features space, operated by a hyperplane.

If, in addition to the output neuron, even the input of the neural network is Boolean, then using the neural network to perform a classification is equivalent to determining a Boolean function of the input vector. This function takes the value 1 where it exceeds the threshold value, 0 otherwise. For example, with two input and output Boolean neurons...