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 …

Point cloud registration is a key process in multi-view 3D measurements. Its precision affects
the measurement precision directly. However, in the case of the point clouds with non …

The geometric problem of estimating an unknown compact convex set from evaluations of its
support function arises in a range of scientific and engineering applications. Traditional …

Electron tomography is becoming an increasingly important tool in materials science for
studying the three-dimensional morphologies and chemical compositions of nanostructures …

摘要颅骨配准是颅面复原过程中的重要步骤之一, 颅骨配准的精度直接影响着颅面复原结果的好
坏. 为了提高颅骨点云模型的配准精度和收敛速度, 提出一种基于分层优化策略的颅骨点云配准 …

We develop a technique for establishing lower bounds on the sample complexity of Least
Squares (or, Empirical Risk Minimization) for large classes of functions. As an application …

Despite lots of techniques in improving the heap leaching performance, many constraints on
the industrial applications remain. We proposed a correspondingly effective and new idea of …

This dissertation investigates non-parametric regression over large function classes,
specifically, non-Donsker classes. We will present the concept of non-Donsker classes and …

Adaptive estimation of planar convex sets Page 1 The Annals of Statistics 2018, Vol. 46, No. 3,
1018–1049 https://doi.org/10.1214/17-AOS1576 © Institute of Mathematical Statistics, 2018 …

We consider the task of reconstructing polytopes with fixed facet directions from finitely many
support function evaluations. We show that for a fixed simplicial normal fan, the least …