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20242026
most citedEntropy of Compact Operators with Applications to Landau-Pollak-Slepian Theory and Sobolev Spaces

2 citations · 3 across the 5 of their papers we have counts for

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math.ST2025

Metric Entropy and Minimax Risk of Ellipsoids with an Application to Pinsker's Theorem

Thomas Allard

We study how large an ellipsoid is by introducing type- integrals that capture the average decay of its semi-axes. These integrals turn out to be closely related to sta…

math.FA2025

Metric Entropy of Ellipsoids in Banach Spaces: Techniques and Precise Asymptotics

Thomas Allard, Helmut Bölcskei

We develop new techniques for computing the metric entropy of ellipsoids -- with polynomially decaying semi-axes -- in Banach spaces. Besides leading to a unified and comprehensive…