3 papers
math.ST2020
Classes of ODE solutions: smoothness, covering numbers, implications for noisy function fitting, and the curse of smoothness phenomenon
Ying Zhu, Mozhgan Mirzaei
Many numerical methods for recovering ODE solutions from data rely on approximating the solutions using basis functions or kernel functions under a least square criterion. The accu…
math.NA2018
Variation entropy: a continuous local generalization of the TVD property using entropy principles
M. ten Eikelder, I. Akkerman
This paper presents the notion of a variation entropy. This concept is an entropy framework for the gradient of the solution of a conservation law instead of on the solution itself…
math.ST2017
High Dimensional Inference in Partially Linear Models
Ying Zhu, Zhuqing Yu, Guang Cheng
We propose two semiparametric versions of the debiased Lasso procedure for the model , where is high dimensional but sparse (exactly or approxi…