5 papers · 1 filter
Free energy fluctuations of symmetric perceptron models up to and including criticality
Hang Du, Shuyang Gong, Brice Huang +1
We study the free energy fluctuations of spherical and Ising perceptron models with general even activations. These include the symmetric binary perceptron, the -perceptron, and…
Sharp detection thresholds for random geometric graphs with polynomial average degrees
Hang Du, Cheng Mao, Nike Sun +2
We study the random geometric graph formed by connecting independent uniform points on whenever their inner product exceeds a threshold chosen to give edge de…
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…
Asymptotic diameter of preferential attachment model
Hang Du, Shuyang Gong, Zhangsong Li +1
We study the asymptotic diameter of the preferential attachment model with parameters and . Building on the recent work \cite{VZ25},…
A Proof of The Changepoint Detection Threshold Conjecture in Preferential Attachment Models
Hang Du, Shuyang Gong, Jiaming Xu
We investigate the problem of detecting and estimating a changepoint in the attachment function of a network evolving according to a preferential attachment model on vertices,…