Weighted gravitational time series smoothing

Abstract

This article continues the series of papers by the authors on the new universal DMAsmoothing of time series, originally intended for the analysis of geophysical time series obtained in the framework of discrete mathematical analysis (DMA), developed by GC RAS. We formulated the general concept of weighted DMA-smoothing, constructed and analyzed one of its variants.

Geomagnetic activity during St. Patrick's Day storm inferred from global and local indicators

“…The DMA algorithms enable a morphological analysis of the time series, a detection of the formal anomalies and an estimation of the trends Soloviev et al, 2009Soloviev et al, , 2012aSoloviev et al, , 2012bSoloviev et al, , 2013Zelinskiy et al, 2014]. The DMA has been previously used for the geophysical monitoring [Agayan et al, 2016;Gvishiani et al, 2014Gvishiani et al, , 2016aGvishiani et al, , 2016b, Estimation of geomagnetic activity..., Annals of Geophysics, in press], for the data processing [Agayan et al, 2010[Agayan et al, , 2014Gvishiani et al, 2011], and for solution of various other problems which arise in the practice of geophysical data processing and interpretation.…”

GIS-oriented solutions for advanced clustering analysis of geoscience data using ArcGIS platform

“…The series of DMA algorithms have been successfully implemented for analysis of various geological and geophysical spatial data [Agayan and Soloviev, 2004;Agayan et al, 2010Agayan et al, , 2011Agayan et al, , 2014aAgayan et al, , 2014bAgayan et al, , 2016Bogoutdinov et al, 2010;Gvishiani et al, 2002aGvishiani et al, , 2002bGvishiani et al, , 2008Gvishiani et al, , 2010Gvishiani et al, , 2011Gvishiani et al, , 2013Gvishiani et al, , 2014 Soloviev et al, 2005, 2012a, 2012b, 2013, Estimation of Geomagnetic Activity..., Annals of Geophysics, 59(6), in press; Widiwijayanti et al, 2003;Zelinskiy et al, 2014]. In the framework of the current research the following DMA-algorithms have been adapted for implementation as geoprocessing tools: "Discrete Perfect Sets" (DPS), its modification (DPSm), "Monolith" and "Rodin-2".…”