Why Modified exponential covariance kernel is empirically successful

A theoretical explanation

Verfasst von

Olga Kosheleva, Michael Beer

Abstract

It is known that in the first approximation, many real-life stationary stochastic processes are well- described by an exponential covariance kernel C(u) = exp(-a|u|). Empirical evidence shows that in many practical situations, a good second approximation is provided by the modified exponential covari- ance kernel C(u) = exp(-a |u|) (1-r|u|). In this paper, we provide a theoretical explanation for this empirical phenomenon.

Details

Externe Organisation(en)
University of Texas at El Paso
The University of Liverpool
Typ
Artikel
Journal
Journal of Uncertain Systems
Band
10
Seiten
10-14
Anzahl der Seiten
5
ISSN
1752-8909
Publikationsdatum
02.2016
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Maschinelles Sehen und Mustererkennung, Steuerung und Optimierung, Artificial intelligence
Elektronische Version(en)
http://www.worldacademicunion.com/journal/jus/jusVol10No1paper02.pdf (Zugang: Offen )
PDF
PDF