4 papers
Testing Rank of Incomplete Unimodal Matrices
Rui Zhang, Junting Chen, Yao Xie +2
Several statistics-based detectors, based on unimodal matrix models, for determining the number of sources in a field are designed. A new variance ratio statistic is proposed, and…
On characteristic rank for matrix and tensor completion
Alexander Shapiro, Yao Xie, Rui Zhang
In this lecture note, we discuss a fundamental concept, referred to as the {\it characteristic rank}, which suggests a general framework for characterizing the basic properties of…
Online detection of cascading change-points
Rui Zhang, Yao Xie, Rui Yao +1
We propose an online detection procedure for cascading failures in the network from sequential data, which can be modeled as multiple correlated change-points happening during a sh…
Goodness-of-fit tests on manifolds
Alexander Shapiro, Yao Xie, Rui Zhang
We develop a general theory for the goodness-of-fit test to non-linear models. In particular, we assume that the observations are noisy samples of a submanifold defined by a \yao{s…