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- W2804570750 abstract "A basic problem in operator theory is to estimate how a small perturbation effects the eigenspaces of a self-adjoint compact operator. In this paper, we prove upper bounds for the subspace distance, taylored for structured random perturbations. As a main example, we consider the empirical covariance operator, and show that a sharp bound can be achieved under a relative gap condition. The proof is based on a novel contraction phenomenon, contrasting previous spectral perturbation approaches." @default.
- W2804570750 created "2018-06-01" @default.
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- W2804570750 date "2018-03-10" @default.
- W2804570750 modified "2023-09-27" @default.
- W2804570750 title "Perturbation bounds for eigenspaces under a relative gap condition." @default.
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