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The Filling of Gaps in Geophysical Time Series by Artificial Neural Networks

Published online by Cambridge University Press:  18 July 2016

V A Dergachev ,
A N Gorban ,
A A Rossiev ,
L M Karimova ,
E B Kuandykov ,
N G Makarenko  and
P Steier
V A Dergachev
Affiliation:
Cosmic Ray Laboratory, Ioffe Physico-Technical Institute, St. Petersburg 194021, Russia. Email: v.dergachev@pop.ioffe.rssi.ru.
A N Gorban
Affiliation:
Institute of Computational Modeling SD RAS, Akademgorodok, Krasnoyarsk-36 660036, Russia
A A Rossiev
Affiliation:
Institute of Computational Modeling SD RAS, Akademgorodok, Krasnoyarsk-36 660036, Russia
L M Karimova
Affiliation:
Institute of Mathematics, Almaty 480100, Kazakhstan
E B Kuandykov
Affiliation:
Institute of Mathematics, Almaty 480100, Kazakhstan
N G Makarenko
Affiliation:
Institute of Mathematics, Almaty 480100, Kazakhstan
P Steier
Affiliation:
VERA Laboratorium, Institut für Isotopenforschung und Kernphysik Universität Wien, A-1090 Wien, Austria
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Abstract

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Nowadays, there is a large number of time series of natural data to study geophysical and astrophysical phenomena and their characteristics. However, short length and data gaps pose a substantial problem for obtaining results on properties of the underlying physical phenomena with existing algorithms. Using only an equidistant subset of the data with coarse steps leads to loss of information. We present a method to recover missing data in time series. The approach is based on modeling the time series with manifolds of small dimension, and it is implemented with the help of neural networks. We applied this approach to real data on cosmogenic isotopes, demonstrating that it could successfully repair gaps where data was purposely left out. Multi-fractal analysis was applied to a true radiocarbon time series after recovering missing data.

Type
II. Getting More from the Data
Information
Radiocarbon , Volume 43 , Issue 2A: Proceedings of the 17th International Radiocarbon Conference (Part 1 of 3) , 2001 , pp. 365 - 371
Copyright
Copyright © The Arizona Board of Regents on behalf of the University of Arizona 

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