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20182026
most citedRobust Hypothesis Testing with Wasserstein Uncertainty Sets

6 citations · 9 across the 8 of their papers we have counts for

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math.ST20231 cited

Distributionally Robust Quickest Change Detection using Wasserstein Uncertainty Sets

Liyan Xie, Yuchen Liang, Venugopal V. Veeravalli

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. It is assumed that the pre-change distribution is known (…

math.ST2022

Minimax Robust Quickest Change Detection using Wasserstein Ambiguity Sets

Liyan Xie

We study the robust quickest change detection under unknown pre- and post-change distributions. To deal with uncertainties in the data-generating distributions, we formulate two da…

math.ST20216 cited

Robust Hypothesis Testing with Wasserstein Uncertainty Sets

Liyan Xie, Rui Gao, Yao Xie

We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributio…

math.ST20211 cited

Sequential (Quickest) Change Detection: Classical Results and New Directions

Liyan Xie, Shaofeng Zou, Yao Xie +1

Online detection of changes in stochastic systems, referred to as sequential change detection or quickest change detection, is an important research topic in statistics, signal pro…

math.ST2021

Optimality of Graph Scanning Statistic for Online Community Detection

Liyan Xie, Yao Xie

Sequential change-point detection for graphs is a fundamental problem for streaming network data types and has wide applications in social networks and power systems. Given fixed v…

math.ST2020

Sequential Change Detection by Optimal Weighted Divergence

Liyan Xie, Yao Xie

We present a new non-parametric statistic, called the weighed divergence, based on empirical distributions for sequential change detection. We start by constructing the we…