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math.ST2024★ 1 cited
Information theoretic limits of robust sub-Gaussian mean estimation under star-shaped constraints
Akshay Prasadan, Matey Neykov
We obtain the minimax rate for a mean location model with a bounded star-shaped set constraint on the mean, in an adversarially corrupted data setting wi…
math.ST2024
Characterizing the minimax rate of nonparametric regression under bounded star-shaped constraints
Akshay Prasadan, Matey Neykov
We quantify the minimax rate for a nonparametric regression model over a star-shaped function class with bounded diameter. We obtain a minimax rate of ${\varepsilon^{…