6 papers
Effectiveness of Large Language Models in Simulating Regional Psychological Structures: An Empirical Examination of Personality and Subjective Well-being
Ke Luoma, Li Zengyi, Liao Jiangqun +2
This study examines whether LLMs can simulate culturally grounded psychological patterns based on demographic information. Using DeepSeek, we generated 2943 virtual participants ma…
On eigenvalues of a renormalized sample correlation matrix
Qianqian Jiang, Junpeng Zhu, Zeng Li
This paper studies the asymptotic spectral properties of a renormalized sample correlation matrix, including the limiting spectral distribution, the properties of largest eigenvalu…
On spiked eigenvalues of a renormalized sample covariance matrix from multi-population
Weiming Li, Zeng Li, Junpeng Zhu
Sample covariance matrices from multi-population typically exhibit several large spiked eigenvalues, which stem from differences between population means and are crucial for infere…
On testing mean of high dimensional compositional data
Qianqian Jiang, Wenbo Li, Zeng Li
We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbi…
On eigenvalues of sample covariance matrices based on high dimensional compositional data
Qianqian Jiang, Jiaxin Qiu, Zeng Li
This paper studies the asymptotic spectral properties of the sample covariance matrix for high dimensional compositional data, including the limiting spectral distribution, the lim…
Network Autoregression for Incomplete Matrix-Valued Time Series
Xuening Zhu, Feifei Wang, Zeng Li +1
We study the dynamics of matrix-valued time series with observed network structures by proposing a matrix network autoregression model with row and column networks of the subjects.…