Zhongyuan Lyu

Lecturer in Business Analytics The University of Sydney Business School Room 407 Codrington Building H69 The University of Sydney NSW 2008 Email: zhongyuan.lyu (AT) sydney (DOT) edu (DOT) au [Google Scholar]

I am currently a Lecturer (Assistant Professor) in the Discipline of Business Analytics at the University of Sydney Business School. Previously, I was 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.

Preprints

• Large-dimensional Factor Analysis with Weighted PCA
  Zhongyuan Lyu and Ming Yuan
  arXiv preprint:2508.15675.
  

• Spectral Clustering with Likelihood Refinement is Optimal for Latent Class Recovery
  Zhongyuan Lyu and Yuqi Gu
  arXiv preprint:2506.07167.
  

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

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

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

Publications

• Optimal Clustering by Lloyd Algorithm for Low-Rank Mixture Model
  Zhongyuan Lyu and Dong Xia
  Journal of the Royal Statistical Society: Series B, 2025+.
  

• Degree-heterogeneous Latent Class Analysis for High-dimensional Discrete Data
  Zhongyuan Lyu, Ling Chen and Yuqi Gu
  Journal of the American Statistical Association, 2025+.
  

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

• 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.
  

• 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.

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