First International Conference on MOLDAVIAN RISKS – FROM ...
First International Conference on MOLDAVIAN RISKS – FROM ...
First International Conference on MOLDAVIAN RISKS – FROM ...
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<str<strong>on</strong>g>First</str<strong>on</strong>g> <str<strong>on</strong>g>Internati<strong>on</strong>al</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>MOLDAVIAN</strong> <strong>RISKS</strong> - <strong>FROM</strong> GLOBAL TO LOCAL SCALE<br />
16-19 May 2012, Bacau, Romania<br />
CLUSTERING OF EARTHQUAKE EPICENTER DATA BY<br />
DISCRETE PERFECT SETS ALGORITHM<br />
Gvishiani A.D 1 , Agayan S.M. 1 , Dobrovolsky M.N. 1 , Bogoutdinov Sh. R. 1 ,<br />
Mandea M. 2<br />
1 Geophysical Center of Russian Academy of Sciences (GC RAS), Moscow, Russia<br />
2 CNES - Centre Nati<strong>on</strong>al d'Etudes Spatiales<br />
Corresp<strong>on</strong>ding author: a.gvishiani@gcras.ru<br />
Abstract: In the frame of “Discrete Mathematical Analysis” (DMA), launched by A.<br />
Gvishiani, J. B<strong>on</strong>nin and S. Agayan in early 90s, numerous original fuzzy logic-based<br />
clustering algorithms have been designed. This branch of the DMA is called by DMAclustering.<br />
A new Discrete Perfect Sets (DPS) algorithm efficiently extends the DMAclustering<br />
branch. Algorithms of DMA-clustering deal with very noisy data and do not<br />
require separability of the sets under c<strong>on</strong>siderati<strong>on</strong>. They focus <strong>on</strong> topological filtering of<br />
multidimensi<strong>on</strong>al data sets. This filtering allows efficient cutting off n<strong>on</strong>-essential parts of<br />
subsets. In this sense, DMA-clustering represents a “postcluster” stage in cluster analysis.<br />
A formal definiti<strong>on</strong> of density of a multidimensi<strong>on</strong>al data set in each of its points serves as<br />
a basis of DMA-clustering algorithms. This formal definiti<strong>on</strong> allows us to introduce formal<br />
c<strong>on</strong>cepts of c<strong>on</strong>centrati<strong>on</strong>, cluster and track. The paper is devoted to presentati<strong>on</strong> of the<br />
DPS algorithm, DMA-m<strong>on</strong>itoring of the seismic process in California and some other<br />
geophysical applicati<strong>on</strong>s. Prospectives for Romanian and Moldavian territories will be<br />
depicted as well.<br />
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