Four deviations suffice for rank 1 matrices

Advances in Mathematics, pp. 1073662020.

Cited by: 0|Bibtex|Views2|DOI:https://doi.org/10.1016/J.AIM.2020.107366
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Abstract:

Abstract We prove a matrix discrepancy bound that strengthens the famous Kadison-Singer result of Marcus, Spielman, and Srivastava. Consider any independent scalar random variables ξ 1 , … , ξ n with finite support, e.g. { ± 1 } or { 0 , 1 } -valued random variables, or some combination thereof....More

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