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math.PR2026
Resolution of the Detection Threshold Conjecture for Random Geometric Graphs in the Regime
Hang Du, Cheng Mao, Nike Sun +2
A random geometric graph (RGG) is generated by first sampling latent points independently and uniformly from the unit sphere in , and then connecting…
math.PR2026
Random geometric graphs with smooth kernels: sharp detection threshold and a spectral conjecture
Cheng Mao, Yihong Wu, Jiaming Xu
A random geometric graph (RGG) with kernel is constructed by first sampling latent points independently and uniformly from the -dimensional unit sphere, the…
math.PR2019★ 21 cited
Spectral Graph Matching and Regularized Quadratic Relaxations II: Erdős-Rényi Graphs and Universality
Zhou Fan, Cheng Mao, Yihong Wu +1
We analyze a new spectral graph matching algorithm, GRAph Matching by Pairwise eigen-Alignments (GRAMPA), for recovering the latent vertex correspondence between two unlabeled, edg…