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A comparison principle for functions of a uniformly random subspace

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Publication:714948
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DOI10.1007/s00440-011-0360-9zbMath1252.60013arXiv1102.0534OpenAlexW2122932035WikidataQ59750699 ScholiaQ59750699MaRDI QIDQ714948

Joel A. Tropp

Publication date: 12 October 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0534


zbMATH Keywords

Stiefel manifoldrandom matrixexpected normGaussian matrix


Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20)


Related Items (3)

Randomized numerical linear algebra: Foundations and algorithms ⋮ Large deviation principles induced by the Stiefel manifold, and random multidimensional projections ⋮ Low-rank matrix recovery via rank one tight frame measurements



Cites Work

  • How many entries of a typical orthogonal matrix can be approximated by independent normals?
  • Gaussian processes and almost spherical sections of convex bodies
  • Maxima of entries of Haar distributed matrices
  • Extensions of Lipschitz mappings into a Hilbert space
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