Zhongyuan Lyu

Posdoctoral Research Scientist Columbia University, Data Science Institute Email: zl3361 (AT) columbia (DOT) edu [Google Scholar]

I am currently a posdoctoral research scientist in the Data Science Institute at Columbia University, mentored by Prof. Yuqi Gu and Prof. Kaizheng Wang. I received my Ph.D. degree in 2023 from the Department of Mathematics at the Hong Kong University of Science and Technology, advised by Prof. Dong Xia.

I am broadly interested in developing methods and theories for high-dimensional matrix / tensor data with latent structures.

I am on the 2024-2025 job market.

Preprints

• Adaptive Transfer Clustering: A Unified Framework
  Yuqi Gu, Zhongyuan Lyu, and Kaizheng Wang (\(\alpha\)-\(\beta\))
  arXiv preprint:2410.21263. [paper]
  

• Degree-heterogeneous Latent Class Analysis for High-dimensional Discrete Data
  Zhongyuan Lyu, Ling Chen and Yuqi Gu
  arXiv preprint:2402.18745. [paper]
  

• Optimal Clustering of Discrete Mixtures: Binomial, Poisson, Block Models, and Multi-layer Networks
  Zhongyuan Lyu, Ting Li and Dong Xia
  arXiv preprint:2311.15598. [paper]
  

• Optimal Clustering by Lloyd Algorithm for Low-Rank Mixture Model
  Zhongyuan Lyu and Dong Xia
  arXiv preprint:2207.04600. [paper]
  

• rMultiNet: An R Package For Multilayer Networks Analysis
  Ting Li, Zhongyuan Lyu, Chenyu Ren, Dong Xia (\(\alpha\)-\(\beta\))
  arXiv preprint:2302.04437. [paper][code]
  

Publications

• Optimal Estimation and Computational Limit of Low-rank Gaussian Mixtures
  Zhongyuan Lyu and Dong Xia
  Annals of Statistics, 51(2), 646-667, 2023. [paper]
  

• Latent Space Model for Higher-order Networks and Generalized Tensor Decomposition
  Zhongyuan Lyu, Dong Xia and Yuan Zhang
  Journal of Computational and Graphical Statistics, 32(4), 1320-1336, 2023. [paper]
  

• Community Detection on Mixture Multi-layer Networks via Regularized Tensor Decomposition
  Bing-Yi Jing, Ting Li, Zhongyuan Lyu, and Dong Xia (\(\alpha\)-\(\beta\))
  Annals of Statistics, 49(6), 3181-3205, 2021. [paper]

Education

• 2023 Ph.D. in Mathematics, Hong Kong University of Science and Technology

• 2019 M.S. in Applied Statistics, University of Michigan, Ann Arbor

• 2017 B.S. in Statistics, Fudan University