3 citations · 7 across the 5 of their papers we have counts for
5 papers
Optimal Clustering of Discrete Mixtures: Binomial, Poisson, Block Models, and Multi-layer Networks
Zhongyuan Lyu, Ting Li, Dong Xia
In this paper, we first study the fundamental limit of clustering networks when a multi-layer network is present. Under the mixture multi-layer stochastic block model (MMSBM), we s…
rMultiNet: An R Package For Multilayer Networks Analysis
Ting Li, Zhongyuan Lyu, Chenyu Ren +1
This paper develops an R package rMultiNet to analyze multilayer network data. We provide two general frameworks from recent literature, e.g. mixture multilayer stochastic block mo…
Optimal Estimation and Computational Limit of Low-rank Gaussian Mixtures
Zhongyuan Lyu, Dong Xia
Structural matrix-variate observations routinely arise in diverse fields such as multi-layer network analysis and brain image clustering. While data of this type have been extensiv…
Latent Space Model for Higher-order Networks and Generalized Tensor Decomposition
Zhongyuan Lyu, Dong Xia, Yuan Zhang
We introduce a unified framework, formulated as general latent space models, to study complex higher-order network interactions among multiple entities. Our framework covers severa…
Community Detection on Mixture Multi-layer Networks via Regularized Tensor Decomposition
Bing-Yi Jing, Ting Li, Zhongyuan Lyu +1
We study the problem of community detection in multi-layer networks, where pairs of nodes can be related in multiple modalities. We introduce a general framework, i.e., mixture mul…