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<dc:title xml:lang="pl"><![CDATA[Convergence analysis for principal component flows]]></dc:title>
<dc:creator><![CDATA[Yoshizawa, Shintaro]]></dc:creator>
<dc:creator><![CDATA[Helmke, Uwe]]></dc:creator>
<dc:creator><![CDATA[Starkov, Konstantin]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[principal component analysis (PCA)]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[neural networks]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[gradient flows]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[phase portrait]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Hessians]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[A common framework for analyzing the global convergence of several flows for principal component analysis is developed. It is shown that flows proposed by Brockett, Oja, Xu and others are all gradient flows and the global convergence of these flows to single equilibrium points is established. The signature of the Hessian at each critical point is determined.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Fliess, Michel - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Jai, Abdelhaq El - ed.]]></dc:contributor>
<dc:date><![CDATA[2001]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/58763/AMCS_2001_11_1_10.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/65544/edition/58763/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:58763]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 11, number 1 (2001)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=10]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:65544]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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