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math.ST2025
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…
math.ST2025
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…
math.ST2025
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…