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<dc:title xml:lang="pl"><![CDATA[A proximal-based algorithm for piecewise sparse approximation with application to scattered data fitting]]></dc:title>
<dc:creator><![CDATA[Zhong, Yiun]]></dc:creator>
<dc:creator><![CDATA[Li, Chongjun]]></dc:creator>
<dc:creator><![CDATA[Li, Zhong]]></dc:creator>
<dc:creator><![CDATA[Duan, Xiaojuan]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[piecewise sparse approximation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[proximal gradient]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[scattered data fitting]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In some applications, there are signals with a piecewise structure to be recovered. In this paper, we propose a piecewise sparse approximation model and a piecewise proximal gradient method (JPGA) which aim to approximate piecewise signals. We also make an analysis of the JPGA based on differential equations, which provides another perspective on the convergence rate of the JPGA. In addition, we show that the problem of sparse representation of the fitting surface to the given scattered data can be considered as a piecewise sparse approximation. Numerical experimental results show that the JPGA can not only effectively fit the surface, but also protect the piecewise sparsity of the representation coefficient.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Yao, Baozhen - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Wang, Shuaian - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Asian, Sobhan - ed.]]></dc:contributor>
<dc:date><![CDATA[2022]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/86519/AMCS_2022_32_4_10.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101551/edition/86519/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:86519]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 32, number 4 (2022)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=126]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101551]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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