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math.ST2025
Convergence and Optimality of the EM Algorithm Under Multi-Component Gaussian Mixture Models
Xin Bing, Dehan Kong, Bingqing Li
Gaussian mixture models (GMMs) are fundamental statistical tools for modeling heterogeneous data. Due to the nonconcavity of the likelihood function, the Expectation-Maximization (…
math.ST2025
Optimal Discriminant Analysis in High-Dimensional Latent Factor Models
Xin Bing, Marten Wegkamp
In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification…
math.ST2024
Estimation and inference for the Wasserstein distance between mixing measures in topic models
Xin Bing, Florentina Bunea, Jonathan Niles-Weed
The Wasserstein distance between mixing measures has come to occupy a central place in the statistical analysis of mixture models. This work proposes a new canonical interpretation…