Algebraic Change-Point Detection

TL;DR

This paper introduces a novel change-point detection method using algebraic techniques such as operational calculus and differential algebra, demonstrating promising numerical results in applied sciences and engineering.

Contribution

It presents a new algebraic approach to change-point detection, combining operational calculus and noncommutative algebra, which is a departure from traditional statistical methods.

Findings

Successful numerical experiments validate the approach.

The method offers a new algebraic perspective on change-point detection.

Abstract

Elementary techniques from operational calculus, differential algebra, and noncommutative algebra lead to a new approach for change-point detection, which is an important field of investigation in various areas of applied sciences and engineering. Several successful numerical experiments are presented.