Theory and Simulation of Perceptron Through Quantum Mechanics Formalism

Abstract

Inside field of Machine Learning or ML one finds the formulation of artificial neural networks or ANN as a robust method to predict data under minimal bias. It constitutes a key procedure inside field of Artificial Intelligence that has demonstrated to be fast, efficient and autonomous in some cases. A deep understanding at the usage of ANN would lead to construct advanced as well as robust tools to predict behavior of systems. Mathematically speaking, once data has been trained, ML emerges as a powerful algorithm to predict unseen data but with a certain probability. Inspired in Quantum Mechanics being a theory fundamental in physic based at probabilities one can wonder if ANN based at the concept of perceptron might be improved through a mathematical methodology by using the formalism of Quantum Mechanics. The aim of paper is to explore novel mathematical mechanisms that would allow to fine the probabilities of prediction inside ML.