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Efron-Stein Inequalities for Random Matrices

Probability 2014-08-18 v1 Functional Analysis

Abstract

This paper establishes new concentration inequalities for random matrices constructed from independent random variables. These results are analogous with the generalized Efron-Stein inequalities developed by Boucheron et al. The proofs rely on the method of exchangeable pairs.

Keywords

Cite

@article{arxiv.1408.3470,
  title  = {Efron-Stein Inequalities for Random Matrices},
  author = {Daniel Paulin and Lester Mackey and Joel A. Tropp},
  journal= {arXiv preprint arXiv:1408.3470},
  year   = {2014}
}

Comments

42 pages. arXiv admin note: text overlap with arXiv:1305.0612

R2 v1 2026-06-22T05:29:43.766Z