Derives the first empirical Bennett and Bernstein inequalities for bounded compact self-adjoint operators that use intrinsic dimension and empirical variance estimates to achieve dimension-free guarantees.
arXiv preprint arXiv:2411.09516 , year=
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Intrinsic-dimension empirical Bernstein inequalities for bounded self-adjoint operators
Derives the first empirical Bennett and Bernstein inequalities for bounded compact self-adjoint operators that use intrinsic dimension and empirical variance estimates to achieve dimension-free guarantees.
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