20 citations · 38 across the 5 of their papers we have counts for
5 papers
Training Guarantees of Neural Network Classification Two-Sample Tests by Kernel Analysis
Varun Khurana, Xiuyuan Cheng, Alexander Cloninger
We construct and analyze a neural network two-sample test to determine whether two datasets came from the same distribution (null hypothesis) or not (alternative hypothesis). We pe…
Neural Differential Recurrent Neural Network with Adaptive Time Steps
Yixuan Tan, Liyan Xie, Xiuyuan Cheng
The neural Ordinary Differential Equation (ODE) model has shown success in learning complex continuous-time processes from observations on discrete time stamps. In this work, we co…
On the Diffusion Geometry of Graph Laplacians and Applications
Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger
We study directed, weighted graphs and consider the (not necessarily symmetric) averaging operator whe…
Unsupervised Deep Haar Scattering on Graphs
Xu Chen, Xiuyuan Cheng, Stéphane Mallat
The classification of high-dimensional data defined on graphs is particularly difficult when the graph geometry is unknown. We introduce a Haar scattering transform on graphs, whic…
The Spectrum of Random Inner-product Kernel Matrices
Xiuyuan Cheng, Amit Singer
We consider n-by-n matrices whose (i, j)-th entry is f(X_i^T X_j), where X_1, ...,X_n are i.i.d. standard Gaussian random vectors in R^p, and f is a real-valued function. The eigen…