2 papers
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.ST2025
Cluster expansion of the log-likelihood ratio: Optimal detection of planted matchings
Timothy L. H. Wee, Cheng Mao
To understand how hidden information can be extracted from statistical networks, planted models in random graphs have been the focus of intensive study in recent years. In this wor…