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math.ST2013
Smoothing splines with varying smoothing parameter
Xiao Wang, Pang Du, Jinglai Shen
This paper considers the development of spatially adaptive smoothing splines for the estimation of a regression function with non-homogeneous smoothness across the domain. Two chal…
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…