计算机工程与应用 ›› 2018, Vol. 54 ›› Issue (12): 35-40.DOI: 10.3778/j.issn.1002-8331.1704-0357
• 理论与研发 • 上一篇 下一篇
陈斯泳，安聪沛
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CHEN Siyong, AN Congpei
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摘要： 基于不同的正则化算子的选取，建立了一类球面上带[l1]-正则项最小二乘逼近模型。通过选取好条件的球面[t]-设计点作为采样点，展示了求解此逼近问题的算法。最后，通过数值例子展现了满意的逼近效果—精确数据和噪声污染的情形。
关键词: 球面多项式逼近, 球面t-设计, l1-正则化
Abstract: Based on variant regularization operators, this paper sets up a class of spherical [l1]-regularization least squares approximation model. The algorithm is illustrated to solve this approximation problem by using well conditioned spherical t-design as sampling point sets. Finally, numerical experiments demonstrate the theoretical results can provide satisfactory approximation on the sphere, with or without the presence of data errors.
Key words: spherical polynomial approximation, spherical [t]-design, [l1]-regularization
陈斯泳，安聪沛. 球面l1-正则化逼近模型及其应用研究[J]. 计算机工程与应用, 2018, 54(12): 35-40.
CHEN Siyong, AN Congpei. l1-regularization approximation model and its application[J]. Computer Engineering and Applications, 2018, 54(12): 35-40.
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链接本文: http://cea.ceaj.org/CN/10.3778/j.issn.1002-8331.1704-0357
http://cea.ceaj.org/CN/Y2018/V54/I12/35
