The Study of Time Series Using the DMA Methods and Geophysical Applications

Sergey Agayan; Shamil Bogoutdinov; Anatoly Soloviev; Roman Sidorov

doi:10.5334/dsj-2016-016

The Study of Time Series Using the DMA Methods and Geophysical Applications

Authors

Sergey Agayan Geophysical Center of the Russian Academy of Sciences
Shamil Bogoutdinov Geophysical Center of the Russian Academy of Sciences
Anatoly Soloviev Geophysical Center of the Russian Academy of Sciences
Roman Sidorov Geophysical Center of the Russian Academy of Sciences

DOI:

https://doi.org/10.5334/dsj-2016-016

Keywords:

time series, anomalies, fuzzy logic, discrete mathematics, data mining, geoinformatics, geomagnetism

Abstract

The discrete mathematical analysis (DMA) is a series of algorithms aimed at the solution of basic problems of data analysis: clustering and tracing in multidimensional arrays, morphological analysis of reliefs, search for anomalies and trends in records etc. All the DMA algorithms are of universal nature, joined by the same formal foundation, based, in its turn, on fuzzy logic (FL) and fuzzy mathematics (FM).

The current study finalizes the search for the anomalies in one-dimensional time series within the scope of DMA: here the initial concept of an interpreter’s logic gets its additional development. First, the formal expert’s opinions are more fully expressed, and this is realized with the more complex measures of activity (the concept of straightenings (Gvishiani et al. 2003; Gvishiani et al. 2004; Zlotnicki et al. 2005) is replaced by the measures of activity which come to the fore): second, for the junction of anomalies, a recently created DPS (Discrete Perfect Sets) algorithm is used DPS (Discrete Perfect Sets) (Agayan et al. 2011; Agayan et al. 2014).

Author Biography

Anatoly Soloviev, Geophysical Center of the Russian Academy of Sciences

Anatoly Soloviev is an applied mathematician by training. In 2014 he earned his D.Sc. degree and in 2005 his Ph.D. in geophysics both at Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences (Moscow, Russia). Since 2014 Anatoly is Deputy Director for Science of the Geophysical Center of the Russian Academy of Sciences (GC RAS), which particularly hosts two ICSU WDCs, since 2010 he is Head of Laboratory of geoinformatics and geomagnetic studies of the GC RAS. Chair of the ICSU CODATA Task Group “Earth and Space Science Data Interoperability” and member of IUGG Union Commission on Data and Information are among his international positions. Anatoly’s expertise mainly involves mathematical methods of data mining in geophysical applications including clustering in multi-dimensional data sets and morphological analysis and recognition of disturbances in time series, geoinformation systems for geoscience data storage and analysis, geomagnetic field studies using methods of geoinformatics, systems of geomagnetic field observations. He is well experienced in big geophysical data management, processing and interoperability issues. Anatoly is an author of several algorithmic systems for intellectual data analysis based on fuzzy mathematics as well as various geophysical databases. Under his leadership a network of the highest standard magnetic observatories is being developed and extended in Russia and Ukraine thus providing new data to the data science community. He was a leading author of the Atlas of the Earth’s magnetic field for 1500-2010, which involved huge data sets both modelled and observed for several centuries. Anatoly has over 50 publications in Russian and foreign scientific journals, two monographs, two published geophysical data sets, more than 60 abstracts delivered at Russian and international scientific conferences and also eight certificates of intellectual property registration.

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Published

2016-12-06

Issue

Vol. 15 (2016)

Section

Research Papers

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