Zhongyuan Lyu
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Posdoctoral Research Scientist Columbia University, Data Science Institute Email: zl3361 (AT) columbia (DOT) edu |
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.
Papers
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]
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