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math.ST2025
Spectral Joint Subspace Estimation for Heterogeneous Multi-View Data: Geometry and Reweighting
Jingyang Li, Zhongyuan Lyu
Many modern datasets consist of multiple related matrices measured on a common set of units, with the goal of recovering a shared low-dimensional subspace. The Angle-based Joint an…
stat.ME2025
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,…
stat.ME2025
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.…