Another Look at the Perceptron

Abstract

The article explores a method for classifying elements of linearly separable sets using the Perceptron algorithm and implemented with Python. Experimented in two-dimensional space with the following sets: linearly separated, linearly separated by elements close to the line and merging elements into one another. The optimal weights of the linear predictive function weights are searched using a Stochastic Gradient Descent. The purpose is to find the weights with reference to error of the minimum predictive function minus the real value of the class, following the changing weights of the moving of the gradient.
The aim of the article is to show an opportunity to solve classification problem using a single neural network. Because the classification method is limited to linearly divisible sets, and often we do not know whether the sets are such previously a variant of the perceptron algorithm is offered which, in case of impossibility of further detection of more optimal weights, stops automatically and possibly use other classification algorithms for a more accurate classification.