Estimates of entropy numbers in probabilistic setting

DOI10.1515/math-2020-0121zbMath1484.41014OpenAlexW3122081840MaRDI QIDQ2053551

Yongjie Han, Hanyue Xiao, Guang-Gui Chen

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0121

zbMATH Keywords

Gaussian measureentropy numbersfinite-dimensionalprobabilistic setting

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Probabilistic methods for one variable harmonic analysis (42A61)

Cites Work

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• Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure
• Entropy numbers of diagonal operators between symmetric Banach spaces
• Gaussian measures in Banach spaces
• Estimates of entropy numbers and Gaussian measures for classes of functions with bounded mixed derivative
• Linear widths of function spaces equipped with the Gaussian measure
• Entropy numbers of general diagonal operators
• KOLMOGOROV WIDTHS IN THE SPACE ${\tilde L}_q$ OF THE CLASSES ${\tilde W}_p^{\overline \alpha}$ AND ${\tilde H}_p^{\overline \alpha}$ OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES
• Nonlinear approximations using sets of finite cardinality or finite pseudo-dimension

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