Higher-Order Graphon Theory: Fluctuations, Degeneracies, and Inference

A Chatterjee, S Dan, BB Bhattacharya - arxiv preprint arxiv:2404.13822, 2024 - arxiv.org
Exchangeable random graphs, which include some of the most widely studied network
models, have emerged as the mainstay of statistical network analysis in recent years …

Slow rates of approximation of U-statistics and V-statistics by quadratic forms of Gaussians

KH Huang, P Orbanz - arxiv preprint arxiv:2406.12437, 2024 - arxiv.org
We construct examples of degree-two U-and V-statistics of $ n $ iid~ heavy-tailed random
vectors in $\mathbb {R}^{d (n)} $, whose $\nu $-th moments exist for ${\nu> 2} $, and provide …