11 papers
The Conclave Process
Itai Benjamini, Zhenhao Cai, Guanyi Chen +2
We introduce a stochastic model for the papal conclave in which cardinals vote repeatedly among themselves until one cardinal receives all the votes. In each round, the probabi…
The Umeyama algorithm for matching correlated Gaussian geometric models in the low-dimensional regime
Shuyang Gong, Zhangsong Li
Motivated by the problem of matching two correlated random geometric graphs, we study the problem of matching two Gaussian geometric models correlated through a latent node permuta…
Detection and Reconstruction of a Random Hypergraph from Noisy Graph Projection
Shuyang Gong, Zhangsong Li, Qiheng Xu
For a -uniform random hypergraph on vertices in which hyperedges are included i.i.d.\ so that the average degree in the hypergraph is , the projection of such a…
Stable algorithms cannot reliably find isolated perceptron solutions
Shuyang Gong, Brice Huang, Shuangping Li +1
We study the binary perceptron, a random constraint satisfaction problem that asks to find a Boolean vector in the intersection of independently chosen random halfspaces. A strikin…
Fundamental Limits of Community Detection in Contextual Multi-Layer Stochastic Block Models
Shuyang Gong, Dong Huang, Zhangsong Li
We consider the problem of community detection from the joint observation of a high-dimensional covariate matrix and sparse networks, all encoding noisy, partial information ab…
Detecting Correlation Efficiently in Stochastic Block Models: Breaking Otter's Threshold in the Entire Supercritical Regime
Guanyi Chen, Jian Ding, Shuyang Gong +1
Consider a pair of sparse correlated stochastic block models subsampled from a common parent stochastic block model with two symmetric communities,…