5 papers
Improved Computational Lower Bound of Estimation for Multi-Frequency Group Synchronization
Zhangsong Li
We study the computational phase transition in a multi-frequency group synchronization problem, where pairwise relative measurements of group elements are observed across multiple…
The Algorithmic Phase Transition in Correlated Spiked Models
Zhangsong Li
We study the computational task of detecting and estimating correlated signals in a pair of spiked matrices $$ X=\tfracλ{\sqrt{n}} xu^{\top}+W, \quad Y=\tfracμ{\sqrt{n}} yv^{\top}+…
A Smooth Computational Transition in Tensor PCA
Zhangsong Li
We propose an efficient algorithm for tensor PCA based on counting a specific family of weighted hypergraphs. For the order- tensor PCA problem where is a fixed integ…
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, a…
Computational Lower Bounds for Correlated Random Graphs via Algorithmic Contiguity
Zhangsong Li
In this paper, assuming the low-degree conjecture, we provide evidence of computational hardness for two problems: (1) the (partial) matching recovery problem in the sparse correla…