5 citations · 13 across the 6 of their papers we have counts for
6 papers
Deep Neural Tangent Kernel and Laplace Kernel Have the Same RKHS
Lin Chen, Sheng Xu
We prove that the reproducing kernel Hilbert spaces (RKHS) of a deep neural tangent kernel and the Laplace kernel include the same set of functions, when both kernels are restricte…
Two-Stage Maximum Score Estimator
Wayne Yuan Gao, Sheng Xu, Kan Xu
This paper considers the asymptotic theory of a semiparametric M-estimator that is generally applicable to models that satisfy a monotonicity condition in one or several parametric…
Tree-Projected Gradient Descent for Estimating Gradient-Sparse Parameters on Graphs
Sheng Xu, Zhou Fan, Sahand Negahban
We study estimation of a gradient-sparse parameter vector , having strong gradient-sparsity on an underlying g…
Logical Differencing in Dyadic Network Formation Models with Nontransferable Utilities
Wayne Yuan Gao, Ming Li, Sheng Xu
This paper considers a semiparametric model of dyadic network formation under nontransferable utilities (NTU). NTU arises frequently in real-world social interactions that require…
Iterative Alpha Expansion for estimating gradient-sparse signals from linear measurements
Sheng Xu, Zhou Fan
We consider estimating a piecewise-constant image, or a gradient-sparse signal on a general graph, from noisy linear measurements. We propose and study an iterative algorithm to mi…
On Gaussian Comparison Inequality and Its Application to Spectral Analysis of Large Random Matrices
Fang Han, Sheng Xu, Wen-Xin Zhou
Recently, Chernozhukov, Chetverikov, and Kato [Ann. Statist. 42 (2014) 1564--1597] developed a new Gaussian comparison inequality for approximating the suprema of empirical process…