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Estimates of entropy numbers in probabilistic setting
Open Mathematics ( IF 1.0 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0121
Yongjie Han 1 , Hanyue Xiao 1 , Guanggui Chen 2
Affiliation  

Abstract In this paper, we define the entropy number in probabilistic setting and determine the exact order of entropy number of finite-dimensional space in probabilistic setting. Moreover, we also estimate the sharp order of entropy number of univariate Sobolev space in probabilistic setting by discretization method.

中文翻译:

概率设置中熵数的估计

摘要 在本文中,我们定义了概率设置中的熵数,并确定了概率设置中有限维空间的熵数的确切阶数。此外,我们还通过离散化方法估计了概率设置中单变量 Sobolev 空间的熵数的锐阶。
更新日期:2020-01-01
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