4 papers · 1 filter
Robust mean estimation under star-shaped constraints with heavy-tailed noise
Tuorui Peng, Akshay Prasadan, Matey Neykov
We study the problem of robust mean estimation with adversarially contaminated data under star-shaped constraints in a heavy-tailed noise setting, where only a finite second moment…
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^{…
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…
Some facts about the optimality of the LSE in the Gaussian sequence model with convex constraint
Akshay Prasadan, Matey Neykov
We consider a convex constrained Gaussian sequence model and characterize necessary and sufficient conditions for the least squares estimator (LSE) to be minimax optimal. For a clo…