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若干周期再生核空间的覆盖数
  • 期刊名称：数学物理学报, 2009, 29(6), 1590-1600.（一级核心）
  • 时间：0
  • 分类：O174.41[理学—数学;理学—基础数学]
  • 作者机构：[1]绍兴文理学院数学系,浙江绍兴312000
  • 相关基金：国家自然科学基金（10871226）资助
  • 相关项目：关于采样学习最优解的特征与误差估计的研究
关键词： 再生核HILBERT空间, 覆盖数, Fourier系数., Reproducing kernel Hilbert spaces, Covering numbers, Fourier coefficients.
中文摘要：

借助离散Fourier变换给出估计Mercer核矩阵逆矩阵范数上界的一种方法,由此给出了估计周期再生核Hilbert空间覆盖数的上、下界的一般方法.特别, 对两种特殊的周期再生核空间覆盖数的上、下界进行了比较.

英文摘要：

A kind of method of estimating the norm of the inverse of the periodic Mercer kernel matrices is proposed with discrete Fourier transforms,with which a general way of estimating the upper and lower bounds of the covering number for periodic reproducing kernel Hilbert spaces is provided. In particular,the lower and upper bounds of the covering number for two special periodic reproduced kernel spaces are compared.

同期刊论文项目
关于采样学习最优解的特征与误差估计的研究
期刊论文 58 著作 1
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