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math.ST2026
Bentkus-type asymptotic e-values
Diego Martinez-Taboada, Ben Chugg, Aaditya Ramdas
Asymptotic e-values are emerging as a powerful alternative to asymptotic p-values, particularly in post-hoc inference and multiple testing, where significance levels may be data-de…
math.ST2026
Intrinsic-dimension empirical Bernstein inequalities for bounded self-adjoint operators
Diego Martinez-Taboada, Aaditya Ramdas
Operator-valued concentration inequalities are foundational to the analysis of modern high-dimensional statistics and randomized algorithms. However, standard oracle bounds are fre…
math.ST2026
Intrinsic dimension concentration inequalities for self-adjoint operators
Diego Martinez-Taboada, Aaditya Ramdas
We derive novel concentration inequalities for the operator norm of the sum of self-adjoint operators that do not explicitly depend on the underlying dimension of the operator, but…