3 papers
math.OC2017
Approximation of Minimal Functions by Extreme Functions
Teresa M. Lebair, Amitabh Basu
In a recent paper, Basu, Hildebrand, and Molinaro established that the set of continuous minimal functions for the 1-dimensional Gomory-Johnson infinite group relaxation possesses…
math.CA2015
Uniform Lipschitz Property of Nonnegative Derivative Constrained B-Splines and Applications to Shape Constrained Estimation
Teresa M. Lebair, Jinglai Shen
Inspired by shape constrained estimation under general nonnegative derivative constraints, this paper considers the B-spline approximation of constrained functions and studies the…
math.ST2013
Minimax Optimal Estimation of Convex Functions in the Supreme Norm
Teresa M. Lebair, Jinglai Shen, Xiao Wang
Estimation of convex functions finds broad applications in engineering and science, while convex shape constraint gives rise to numerous challenges in asymptotic performance analys…