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		<identifier>oai:zbc.uz.zgora.pl:87256</identifier>
	    <datestamp>2025-08-07T12:31:13Z</datestamp>
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<dc:title xml:lang="pl"><![CDATA[The generalization error bound for a stochastic gradient descent family via a Gaussian approximation method]]></dc:title>
<dc:creator><![CDATA[Chen, Hao]]></dc:creator>
<dc:creator><![CDATA[Mo, Zhanfeng]]></dc:creator>
<dc:creator><![CDATA[Yang, Zhouwang]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[stochastic gradient descent]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Gaussian approximation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[KL-divergence]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[generalization bounds]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[Recent works have developed model complexity based and algorithm based generalization error bounds to explain how stochastic gradient descent (SGD) methods help over-parameterized models generalize better. However, previous works are limited by their scope of analysis and fail to provide comprehensive explanations. In this paper, we propose a novel Gaussian approximation framework to establish generalization error bounds for the U-SGD family, which is a class of SGD with asymptotically unbiased and uniformly bounded gradient noise. We study U-SGD dynamics, and we show both theoretically and numerically that the limiting model parameter distribution tends to be Gaussian, even when the original gradient noise is non-Gaussian.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2025]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/87256/AMCS_2025_35_2_5.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101988/edition/87256/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:87256]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 35, number 2 (2025)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=136]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101988]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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