Estimates of entropy numbers in probabilistic setting

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 discretizati...

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Bibliographic Details
Main Authors: Han Yongjie, Xiao Hanyue, Chen Guanggui
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0121