J 2021

The evaluation of COVID-19 prediction precision with a Lyapunov-like exponent

MAZUREK, Jiří

Basic information

Original name

The evaluation of COVID-19 prediction precision with a Lyapunov-like exponent

Authors

MAZUREK, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

PLOS ONE, 2021, 1932-6203

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

30303 Infectious Diseases

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19520/21:A0000244

Organization unit

School of Business Administration in Karvina

UT WoS

000664636100043

Keywords in English

prediction; COVID-19; Lyapunov exponent; chaotic system

Tags

Tags

International impact, Reviewed
Změněno: 12/4/2022 10:13, Miroslava Snopková

Abstract

V originále

In the field of machine learning, building models and measuring their performance are two equally important tasks. Currently, measures of precision of regression models’ predictions are usually based on the notion of mean error, where by error we mean a deviation of a prediction from an observation. However, these mean based measures of models’ performance have two drawbacks. Firstly, they ignore the length of the prediction, which is crucial when dealing with chaotic systems, where a small deviation at the beginning grows exponentially with time. Secondly, these measures are not suitable in situations where a prediction is made for a specific point in time (e.g. a date), since they average all errors from the start of the prediction to its end. Therefore, the aim of this paper is to propose a new measure of models’ prediction precision, a divergence exponent, based on the notion of the Lyapunov exponent which overcomes the aforementioned drawbacks. The proposed approach enables the measuring and comparison of models’ prediction precision for time series with unequal length and a given target date in the framework of chaotic phenomena. Application of the divergence exponent to the evaluation of models’ accuracy is demonstrated by two examples and then a set of selected predictions of COVID-19 spread from other studies is evaluated to show its potential.