Higher order concentration on Stiefel and Grassmann manifolds
نویسندگان
چکیده
We prove higher order concentration bounds for functions on Stiefel and Grassmann manifolds equipped with the uniform distribution. This partially extends previous work unit sphere. Technically, our results are based logarithmic Sobolev techniques measures manifolds. Applications include Hanson–Wright type inequalities certain distance between subspaces of Rn.
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2023
ISSN: ['1083-6489']
DOI: https://doi.org/10.1214/23-ejp966