An extensive update to a classic text Stochastic geometry and spatial statistics play a
fundamental role in many modern branches of physics, materials sciences, engineering …

In this article, we aim to design a distributed approximate algorithm for seeking Nash
equilibria (NE) of an aggregative game. Due to the local set constraints of each player …

We study the problem of estimating a multivariate convex function defined on a convex body
in a regression setting with random design. We are interested in optimal rates of …

Lower bounds involving f-divergences between the underlying probability measures are
proved for the minimax risk in estimation problems. Our proofs just use simple convexity …

In this paper, we study the covering numbers of the space of convex and uniformly bounded
functions in multidimension. We find optimal upper and lower bounds for the ε-covering …

In this paper, we study two problems:(1) estimation of a $ d $-dimensional log-concave
distribution and (2) bounded multivariate convex regression with random design with an …

SL(n)-covariant Lp-Minkowski valuations | Journal of the London Mathematical Society | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search Menu …

We present a minimax optimal solution to the problem of estimating a compact, convex set
from finitely many noisy measurements of its support function. The solution is based on …

Extended object tracking, an important and emerging research field, has attracted attention
for applications in civilian and military fields. However, the modeling and tracking of …

Adaptation in multivariate log-concave density estimation Page 1 The Annals of Statistics 2021,
Vol. 49, No. 1, 129–153 https://doi.org/10.1214/20-AOS1950 © Institute of Mathematical …