10 citations · 37 across the 28 of their papers we have counts for
4 papers · 1 filter
Revisiting Le Cam's Equation: Exact Minimax Rates over Convex Density Classes
Shamindra Shrotriya, Matey Neykov
We study the classical problem of deriving minimax rates for density estimation over convex density classes. Building on the pioneering work of Le Cam (1973), Birge (1983, 1986), W…
Adversarial Sign-Corrupted Isotonic Regression
Shamindra Shrotriya, Matey Neykov
Classical univariate isotonic regression involves nonparametric estimation under a monotonicity constraint of the true signal. We consider a variation of this generating process, w…
Local permutation tests for conditional independence
Ilmun Kim, Matey Neykov, Sivaraman Balakrishnan +1
In this paper, we investigate local permutation tests for testing conditional independence between two random vectors and given . The local permutation test determines t…
On the minimax rate of the Gaussian sequence model under bounded convex constraints
Matey Neykov
We determine the exact minimax rate of a Gaussian sequence model under bounded convex constraints, purely in terms of the local geometry of the given constraint set . Our main r…