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math.ST2025
Polynomial-Time Near-Optimal Estimation over Certain Type-2 Convex Bodies
Matey Neykov
We develop polynomial-time algorithms for near-optimal minimax mean estimation under -squared loss in a Gaussian sequence model under convex constraints. The parameter spac…
math.ST2025
Minimaxity and Efficiency in Exponential Family Regression: From Star-Shaped to Convex Constraints
Yikun Li, Guanghong Yi, Matey Neykov
This paper establishes the minimax estimation rate for nonparametric exponential family regression under star-shaped constraints. We consider a parameter space that is a star-s…
math.ST2025
Robust density estimation over star-shaped density classes
Xiaolong Liu, Matey Neykov
We establish a novel criterion for comparing the performance of two densities, and , within the context of corrupted data. Utilizing this criterion, we propose an algori…