activity
20222026
most citedLow-Degree Hardness of Detection for Correlated Erdős-Rényi Graphs

3 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.ST2026

Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions

Hang Du, Henry Hu, Saba Lepsveridze

We study high-dimensional inference in correlated two-view models, focusing on spectral methods for strong detection and weak recovery. We introduce a general framework, motivated…

cs.DS2023★ 3 cited

Low-Degree Hardness of Detection for Correlated Erdős-Rényi Graphs

Jian Ding, Hang Du, Zhangsong Li

Given two Erdős-Rényi graphs with vertices whose edges are correlated through a latent vertex correspondence, we study complexity lower bounds for the associated correlation de…

math.PR2023

The Algorithmic Phase Transition of Random Graph Alignment Problem

Hang Du, Shuyang Gong, Rundong Huang

We study the graph alignment problem over two independent Erdős-Rényi graphs on vertices, with edge density falling into two regimes separated by the critical window around…

math.PR2023★ 1 cited

Percolation threshold for metric graph loop soup

Yinshan Chang, Hang Du, Xinyi Li

In this short note, we show that the critical threshold for the percolation of metric graph loop soup on a large class of transient metric graphs (including quasi-transitive graphs…

math.PR2022★ 1 cited

A polynomial-time approximation scheme for the maximal overlap of two independent Erdős-Rényi graphs

Jian Ding, Hang Du, Shuyang Gong

For two independent Erdős-Rényi graphs , we study the maximal overlap (i.e., the number of common edges) of these two graphs over all possible vertex correspondence…

math.ST2022★ 2 cited

Matching recovery threshold for correlated random graphs

Jian Ding, Hang Du

For two correlated graphs which are independently sub-sampled from a common Erdős-Rényi graph , we wish to recover their \emph{latent} vertex matching from the ob…

math.PR2022

Detection threshold for correlated Erdős-Rényi graphs via densest subgraphs

Jian Ding, Hang Du

The problem of detecting edge correlation between two Erdős-Rényi random graphs on unlabeled nodes can be formulated as a hypothesis testing problem: under the null hypothesis,…