TL;DR
This paper offers a slight improvement on Talagrand's fundamental result regarding entropy numbers, utilizing novel proof techniques rooted in greedy approximation methods.
Contribution
It presents a new proof approach that slightly enhances the existing bounds on entropy numbers, diverging from traditional methods.
Findings
Improved bounds on entropy numbers
Novel proof techniques based on greedy approximation
Enhanced understanding of entropy number properties
Abstract
Talagrand's fundamental result on the entropy numbers is slightly improved. Our proof uses different ideas based on results from greedy approximation.
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