4 papers · 1 filter
Nonparametric Inference on Unlabeled Histograms
Yun Ma, Pengkun Yang
Statistical inference on histograms and frequency counts plays a central role in categorical data analysis. Moving beyond classical methods that directly analyze labeled frequencie…
Testing Correlation in Graphs by Counting Bounded Degree Motifs
Dong Huang, Pengkun Yang
We investigate the problem of detecting correlation between two Erdős-Rényi graphs , formulated as a hypothesis testing problem: under the null hypothesis, the two graphs a…
Identifiability and Estimation in High-Dimensional Nonparametric Latent Structure Models
Yichen Lyu, Pengkun Yang
This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalize…
Sample Complexity of Correlation Detection in the Gaussian Wigner Model
Dong Huang, Pengkun Yang
Correlation analysis is a fundamental step in uncovering meaningful insights from complex datasets. In this paper, we study the problem of detecting correlations between two random…