56 citations · 225 across the 37 of their papers we have counts for
38 papers
Applications of Royen's Gaussian Correlation Inequality in high-dimensional testing
Jiashun Jin, Zheng Tracy Ke, Jingming Wang
Royen's Gaussian Correlation Inequality (GCI) is a fundamental result in statistics and probability, but unfortunately, at least by now, the result is not very well known in the st…
The Gold Rush in AI4Math: Where Are We Now?
Jiashun Jin, Zheng Tracy Ke, Bingcheng Sui
Recent advances in artificial intelligence (AI) have sparked growing interest in its use for mathematical research. While some view this as a major opportunity for discovery, other…
A New Impossibility Region for the Symmetric Nonnegative Inverse Eigenvalue Problem
Jiashun Jin, Zheng Tracy Ke, Bingcheng Sui
We present a new impossibility region for the symmetric nonnegative inverse eigenvalue problem. The region lies in the low-trace regime and, to the best of our knowledge…
Concentration Inequalities for Incomplete U-statistics over Arbitrary Sampling Graphs
Zheng Tracy Ke
Let be independent random vectors. For a directed graph with vertex set and a collection of bivariate kernels $\{h_e:e\in E\}…
Counting Cycles with AI: Counting Cycles with AI: Computationally Efficient Equivalent Forms with Applications
Jiashun Jin, Zheng Tracy Ke, Bingcheng Sui +1
Cycle count statistics are fundamental tools in statistics and engineering, with applications in motif counting, channel coding, and statistical inference of network and matrix dat…
Network Goodness-of-Fit for the block-model family
Jiashun Jin, Zheng Tracy Ke, Jiajun Tang +1
The block-model family has four popular network models (SBM, DCBM, MMSBM, and DCMM). A fundamental problem is, how well each of these models fits with real networks. We propose GoF…
A Comparison of DeepSeek and Other LLMs
Tianchen Gao, Jiashun Jin, Zheng Tracy Ke +1
Recently, DeepSeek has been the focus of attention in and beyond the AI community. An interesting problem is how DeepSeek compares to other large language models (LLMs). There are…
Optimal Network Pairwise Comparison
Jiashun Jin, Zheng Tracy Ke, Shengming Luo +1
We are interested in the problem of two-sample network hypothesis testing: given two networks with the same set of nodes, we wish to test whether the underlying Bernoulli probabili…
Improved Algorithm and Bounds for Successive Projection
Jiashun Jin, Zheng Tracy Ke, Gabriel Moryoussef +2
Given a -vertex simplex in a -dimensional space, suppose we measure points on the simplex with noise (hence, some of the observed points fall outside the simplex). Vertex…
Recent Advances in Text Analysis
Zheng Tracy Ke, Pengsheng Ji, Jiashun Jin +1
Text analysis is an interesting research area in data science and has various applications, such as in artificial intelligence, biomedical research, and engineering. We review popu…
Subject clustering by IF-PCA and several recent methods
Dieyi Chen, Jiashun Jin, Zheng Tracy Ke
Subject clustering (i.e., the use of measured features to cluster subjects, such as patients or cells, into multiple groups) is a problem of great interest. In recent years, many a…
Phase transition for detecting a small community in a large network
Jiashun Jin, Zheng Tracy Ke, Paxton Turner +1
How to detect a small community in a large network is an interesting problem, including clique detection as a special case, where a naive degree-based -test was shown to be po…
Testing High-dimensional Multinomials with Applications to Text Analysis
T. Tony Cai, Zheng Tracy Ke, Paxton Turner
Motivated by applications in text mining and discrete distribution inference, we investigate the testing for equality of probability mass functions of groups of high-dimensiona…
Co-citation and Co-authorship Networks of Statisticians
Pengsheng Ji, Jiashun Jin, Zheng Tracy Ke +1
We collected and cleaned a large data set on publications in statistics. The data set consists of the coauthor relationships and citation relationships of 83, 331 papers published…
Power Enhancement and Phase Transitions for Global Testing of the Mixed Membership Stochastic Block Model
Louis Cammarata, Zheng Tracy Ke
The mixed-membership stochastic block model (MMSBM) is a common model for social networks. Given an -node symmetric network generated from a -community MMSBM, we would like t…
The SCORE normalization, especially for highly heterogeneous network and text data
Zheng Tracy Ke, Jiashun Jin
SCORE was introduced as a spectral approach to network community detection. Since many networks have severe degree heterogeneity, the ordinary spectral clustering (OSC) approach to…
Optimal Network Membership Estimation Under Severe Degree Heterogeneity
Zheng Tracy Ke, Jingming Wang
Real networks often have severe degree heterogeneity, with the maximum, average, and minimum node degrees differing significantly. This paper examines the impact of degree heteroge…
Allocation of COVID-19 Testing Budget on a Commute Network of Counties
Yaxuan Huang, Zheng Tracy Ke, Jiashun Jin
The screening testing is an effective tool to control the early spread of an infectious disease such as COVID-19. When the total testing capacity is limited, we aim to optimally al…
Power of Knockoff: The Impact of Ranking Algorithm, Augmented Design, and Symmetric Statistic
Zheng Tracy Ke, Jun S. Liu, Yucong Ma
The knockoff filter is a recent false discovery rate (FDR) control method for high-dimensional linear models. We point out that knockoff has three key components: ranking algorithm…
Optimal Estimation of the Number of Communities
Jiashun Jin, Zheng Tracy Ke, Shengming Luo +1
In network analysis, how to estimate the number of communities is a fundamental problem. We consider a broad setting where we allow severe degree heterogeneity and a wide range…
Measurement error models: from nonparametric methods to deep neural networks
Zhirui Hu, Zheng Tracy Ke, Jun S Liu
The success of deep learning has inspired recent interests in applying neural networks in statistical inference. In this paper, we investigate the use of deep neural networks for n…
Estimation of the number of spiked eigenvalues in a covariance matrix by bulk eigenvalue matching analysis
Zheng Tracy Ke, Yucong Ma, Xihong Lin
The spiked covariance model has gained increasing popularity in high-dimensional data analysis. A fundamental problem is determination of the number of spiked eigenvalues, . For…
Community Detection for Hypergraph Networks via Regularized Tensor Power Iteration
Zheng Tracy Ke, Feng Shi, Dong Xia
To date, social network analysis has been largely focused on pairwise interactions. The study of higher-order interactions, via a hypergraph network, brings in new insights. We stu…
Diagonally-Dominant Principal Component Analysis
Zheng Tracy Ke, Lingzhou Xue, Fan Yang
We consider the problem of decomposing a large covariance matrix into the sum of a low-rank matrix and a diagonally dominant matrix, and we call this problem the "Diagonally-Domina…