7 papers
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…
Canonical Intermediate Representation for LLM-based optimization problem formulation and code generation
Zhongyuan Lyu, Shuoyu Hu, Lujie Liu +2
Automatically formulating optimization models from natural language descriptions is a growing focus in operations research, yet current LLM-based approaches struggle with the compo…
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…
Large-dimensional Factor Analysis with 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…