5 papers · 1 filter
Mixed Membership Model of Low-rank Matrices with Multimodal Extension
David Snider, Zhongyuan Lyu, Jian Kang +1
Matrix-valued observations arise in multiplex networks, neuroimaging, and other domains where population-level patterns are often low-rank and subjects may express several latent p…
Weak Factor Analysis via Temporally Weighted PCA
Zhongyuan Lyu, Ming Yuan
Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong,…
Spectral Clustering with Likelihood Refinement for High-dimensional Latent Class Recovery
Zhongyuan Lyu, Yuqi Gu
Latent class models are widely used for identifying unobserved subgroups from multivariate categorical data in social sciences, with binary data as a particularly popular example.…
Adaptive Transfer Clustering: A Unified Framework
Yuqi Gu, Zhongyuan Lyu, Kaizheng Wang
We propose a general transfer learning framework for clustering given a main dataset and an auxiliary one about the same subjects. The two datasets may reflect similar but differen…
Degree-heterogeneous Latent Class Analysis for High-dimensional Discrete Data
Zhongyuan Lyu, Ling Chen, Yuqi Gu
The latent class model is a widely used mixture model for multivariate discrete data. Besides the existence of qualitatively heterogeneous latent classes, real data often exhibit a…