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A dimension-free reverse logarithmic sobolev inequality for low-complexity functions in gaussian space

Springer, (2020), 263-271
DOI: 10.1007/978-3-030-36020-7_12
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Abstract

We discuss new proofs, and new forms, of a reverse logarithmic Sobolev inequality, with respect to the standard Gaussian measure, for low-complexity functions, measured in terms of Gaussian-width. In particular, we provide a dimension-free improvement for a related result given in Eldan (Geom Funct Anal 28:1548–1596, 2018).

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APA

Eldan, R., & Ledoux, M. (2020). A dimension-free reverse logarithmic sobolev inequality for low-complexity functions in gaussian space. In Lecture Notes in Mathematics (Vol. 2256, pp. 263–271). Springer. https://doi.org/10.1007/978-3-030-36020-7_12

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